niftkCMC33LookUpTable.h File Reference

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Variables
static const char	cases [256][2]
	case mapping For each of the possible vertex states listed in this table there is a specific triangulation of the edge intersection points. The table lists all of them in the form of 0-5 edge triples with the list terminated by the invalid value -1. For example: case[3] list the 2 triangles formed when cube[0] and cube[1] are inside of the surface, but the rest of the cube is not. More...
static const char	tiling1 [16][3]
	tiling table for case 1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling2 [24][6]
	tiling table for case 2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	test3 [24]
	test table for case 3 One face to test When the test on the specified face is positive : 4 first triangles When the test on the specified face is negative : 2 last triangles More...
static const char	tiling3_1 [24][6]
	tiling table for case 3.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling3_2 [24][12]
	tiling table for case 3.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	test4 [8]
	test table for case 4 Interior to test When the test on the interior is negative : 2 first triangles When the test on the interior is positive : 6 last triangles More...
static const char	tiling4_1 [8][6]
	tiling table for case 4.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling4_2 [8][18]
	tiling table for case 4.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling5 [48][9]
	tiling table for case 5 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	test6 [48][3]
	test table for case 6 1 face to test + eventually the interior When the test on the specified face is positive : 5 first triangles When the test on the specified face is negative : More...
static const char	tiling6_1_1 [48][9]
	tiling table for case 6.1.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling6_1_2 [48][27]
	tiling table for case 6.1.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling6_2 [48][15]
	tiling table for case 6.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	test7 [16][5]
	test table for case 7 3 faces to test + eventually the interior When the tests on the 3 specified faces are positive : More...
static const char	tiling7_1 [16][9]
	tiling table for case 7.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling7_2 [16][3][15]
	tiling table for case 7.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling7_3 [16][3][27]
	tiling table for case 7.3 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling7_4_1 [16][15]
	tiling table for case 7.4.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling7_4_2 [16][27]
	tiling table for case 7.4.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling8 [6][6]
	tiling table for case 8 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling9 [8][12]
	tiling table for case 9 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	test10 [6][3]
	test table for case 10 2 faces to test + eventually the interior When the tests on both specified faces are positive : 4 middle triangles (1) When the test on the first specified face is positive : 8 first triangles When the test on the second specified face is positive : 8 next triangles When the tests on both specified faces are negative : More...
static const char	tiling10_1_1 [6][12]
	tiling table for case 10.1.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling10_1_1_ [6][12]
	tiling table for case 10.1.1 inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling10_1_2 [6][24]
	tiling table for case 10.1.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling10_2 [6][24]
	tiling table for case 10.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling10_2_ [6][24]
	tiling table for case 10.2 inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling11 [12][12]
	tiling table for case 11 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	test12 [24][4]
	test table for case 12 2 faces to test + eventually the interior When the tests on both specified faces are positive : 4 middle triangles (1) When the test on the first specified face is positive : 8 first triangles When the test on the second specified face is positive : 8 next triangles When the tests on both specified faces are negative : More...
static const char	tiling12_1_1 [24][12]
	tiling table for case 12.1.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling12_1_1_ [24][12]
	tiling table for case 12.1.1 inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling12_1_2 [24][24]
	tiling table for case 12.1.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling12_2 [24][24]
	tiling table for case 12.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling12_2_ [24][24]
	tiling table for case 12.2 inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	test13 [2][7]
	test table for case 13 All faces are to be tested More...
static const char	subconfig13 [64]
	subconfiguration table for case 13 Hard-coded tests for the subconfiguration determination More...
static const char	tiling13_1 [2][12]
	tiling table for case 13.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling13_1_ [2][12]
	tiling table for case 13.1 inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling13_2 [2][6][18]
	tiling table for case 13.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling13_2_ [2][6][18]
	tiling table for case 13.2 inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling13_3 [2][12][30]
	tiling table for case 13.3 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling13_3_ [2][12][30]
	tiling table for case 13.3, inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling13_4 [2][4][36]
	tiling table for case 13.4 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling13_5_1 [2][4][18]
	tiling table for case 13.5.1 The support edge for the interior test is marked as the 1st column. For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling13_5_2 [2][4][30]
	tiling table for case 13.5.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	tiling14 [12][12]
	tiling table for case 14 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test. More...
static const char	casesClassic [256][16]
	original Marching Cubes implementation For each of the possible vertex states listed in this table there is a specific triangulation of the edge intersection points. The table lists all of them in the form of 0-5 edge triples with the list terminated by the invalid value -1. For example: casesClassic[3] list the 2 triangles formed when cube[0] and cube[1] are inside of the surface, but the rest of the cube is not. More...

Variable Documentation

const char cases[256][2]

static

case mapping For each of the possible vertex states listed in this table there is a specific triangulation of the edge intersection points. The table lists all of them in the form of 0-5 edge triples with the list terminated by the invalid value -1. For example: case[3] list the 2 triangles formed when cube[0] and cube[1] are inside of the surface, but the rest of the cube is not.

Cube description: 7 ________ 6 _____6__ ________ /| /| 7/| /| /| /| / | / | / | /5 | / 6 / | 4 /_______ / | /__4____ / 10 /_______3/ | | | |5 | | 11 | | | | | 2 | | 3|__|_____|2 | |__|__2__| | 4 |__|_____| | / | / 8 3/ 9 / | / | / | / | / | / | /1 | / 5 / |/_______|/ |/___0___|/ |/_1_____|/ 0 1 0 1

const char casesClassic[256][16]

static

original Marching Cubes implementation For each of the possible vertex states listed in this table there is a specific triangulation of the edge intersection points. The table lists all of them in the form of 0-5 edge triples with the list terminated by the invalid value -1. For example: casesClassic[3] list the 2 triangles formed when cube[0] and cube[1] are inside of the surface, but the rest of the cube is not.

const char subconfig13[64]

static

subconfiguration table for case 13 Hard-coded tests for the subconfiguration determination

For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char test10[6][3]

static

Initial value:

= {
  {  2,  4,  7 },
  {  5,  6,  7 },
  {  1,  3,  7 },
  {  1,  3,  7 },
  {  5,  6,  7 },
  {  2,  4,  7 }
}

test table for case 10 2 faces to test + eventually the interior When the tests on both specified faces are positive : 4 middle triangles (1) When the test on the first specified face is positive : 8 first triangles When the test on the second specified face is positive : 8 next triangles When the tests on both specified faces are negative :

• if the test on the interior is negative : 4 middle triangles
• if the test on the interior is positive : 8 last triangles

For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char test12[24][4]

static

Initial value:

= {
  {  4,  3,  7,  11 },
  {  3,  2,  7,  10 },
  {  2,  6,  7,   5 },
  {  6,  4,  7,   7 },
  {  2,  1,  7,   9 },
  {  5,  2,  7,   1 },
  {  5,  3,  7,   2 },
  {  5,  1,  7,   0 },
  {  5,  4,  7,   3 },
  {  6,  3,  7,   6 },
  {  1,  6,  7,   4 },
  {  1,  4,  7,   8 },
  {  4,  1,  7,   8 },
  {  6,  1,  7,   4 },
  {  3,  6,  7,   6 },
  {  4,  5,  7,   3 },
  {  1,  5,  7,   0 },
  {  3,  5,  7,   2 },
  {  2,  5,  7,   1 },
  {  1,  2,  7,   9 },
  {  4,  6,  7,   7 },
  {  6,  2,  7,   5 },
  {  2,  3,  7,  10 },
  {  3,  4,  7,  11 }
}

test table for case 12 2 faces to test + eventually the interior When the tests on both specified faces are positive : 4 middle triangles (1) When the test on the first specified face is positive : 8 first triangles When the test on the second specified face is positive : 8 next triangles When the tests on both specified faces are negative :

• if the test on the interior is negative : 4 middle triangles
• if the test on the interior is positive : 8 last triangles The support edge for the interior test is marked as the 4th column.

For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char test13[2][7]

static

Initial value:

= {
  { 1,2,3,4,5,6,7 },
  { 2,3,4,1,5,6,7 },
}

test table for case 13 All faces are to be tested

For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char test3[24]

static

Initial value:

= {
    5,
    1,
    4,
    5,
    1,
    2,
    2,
    3,
    4,
    3,
    6,
    6,
   -6,
   -6,
   -3,
   -4,
   -3,
   -2,
   -2,
   -1,
   -5,
   -4,
   -1,
   -5
}

test table for case 3 One face to test When the test on the specified face is positive : 4 first triangles When the test on the specified face is negative : 2 last triangles

For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char test4[8]

static

Initial value:

= {
   7,
   7,
   7,
   7,
  -7,
  -7,
  -7,
  -7
}

test table for case 4 Interior to test When the test on the interior is negative : 2 first triangles When the test on the interior is positive : 6 last triangles

For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char test6[48][3]

static

test table for case 6 1 face to test + eventually the interior When the test on the specified face is positive : 5 first triangles When the test on the specified face is negative :

• if the test on the interior is negative : 3 middle triangles
• if the test on the interior is positive : 8 last triangles The support edge for the interior test is marked as the 3rd column.

For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char test7[16][5]

static

Initial value:

= {
  {  1,  2,  5,  7,   1 },
  {  3,  4,  5,  7,   3 },
  {  4,  1,  6,  7,   4 },
  {  4,  1,  5,  7,   0 },
  {  2,  3,  5,  7,   2 },
  {  1,  2,  6,  7,   5 },
  {  2,  3,  6,  7,   6 },
  {  3,  4,  6,  7,   7 },
  { -3, -4, -6, -7,   7 },
  { -2, -3, -6, -7,   6 },
  { -1, -2, -6, -7,   5 },
  { -2, -3, -5, -7,   2 },
  { -4, -1, -5, -7,   0 },
  { -4, -1, -6, -7,   4 },
  { -3, -4, -5, -7,   3 },
  { -1, -2, -5, -7,   1 }
}

test table for case 7 3 faces to test + eventually the interior When the tests on the 3 specified faces are positive :

• if the test on the interior is positive : 5 first triangles
• if the test on the interior is negative : 9 next triangles When the tests on the first and the second specified faces are positive : 9 next triangles When the tests on the first and the third specified faces are positive : 9 next triangles When the tests on the second and the third specified faces are positive : 9 next triangles When the test on the first specified face is positive : 5 next triangles When the test on the second specified face is positive : 5 next triangles When the test on the third specified face is positive : 5 next triangles When the tests on the 3 specified faces are negative : 3 last triangles The support edge for the interior test is marked as the 5th column.

For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling1[16][3]

static

Initial value:

= {
  {  0,  8,  3 },
  {  0,  1,  9 },
  {  1,  2, 10 },
  {  3, 11,  2 },
  {  4,  7,  8 },
  {  9,  5,  4 },
  { 10,  6,  5 },
  {  7,  6, 11 },
  {  7, 11,  6 },
  { 10,  5,  6 },
  {  9,  4,  5 },
  {  4,  8,  7 },
  {  3,  2, 11 },
  {  1, 10,  2 },
  {  0,  9,  1 },
  {  0,  3,  8 }
}

tiling table for case 1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling10_1_1[6][12]

static

Initial value:

= {
  {  5, 10,  7, 11,  7, 10,  8,  1,  9,  1,  8,  3 },
  {  1,  2,  5,  6,  5,  2,  4,  3,  0,  3,  4,  7 },
  { 11,  0,  8,  0, 11,  2,  4,  9,  6, 10,  6,  9 },
  {  9,  0, 10,  2, 10,  0,  6,  8,  4,  8,  6, 11 },
  {  7,  2,  3,  2,  7,  6,  0,  1,  4,  5,  4,  1 },
  {  7,  9,  5,  9,  7,  8, 10,  1, 11,  3, 11,  1 }
}

tiling table for case 10.1.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling10_1_1_[6][12]

static

Initial value:

= {
  {  5,  9,  7,  8,  7,  9, 11,  1, 10,  1, 11,  3 },
  {  3,  2,  7,  6,  7,  2,  4,  1,  0,  1,  4,  5 },
  { 10,  0,  9,  0, 10,  2,  4,  8,  6, 11,  6,  8 },
  {  8,  0, 11,  2, 11,  0,  6,  9,  4,  9,  6, 10 },
  {  5,  2,  1,  2,  5,  6,  0,  3,  4,  7,  4,  3 },
  {  7, 10,  5, 10,  7, 11,  9,  1,  8,  3,  8,  1 }
}

tiling table for case 10.1.1 inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling10_1_2[6][24]

static

Initial value:

= {
  {  3, 11,  7,  3,  7,  8,  9,  8,  7,  5,  9,  7,  9,  5, 10,  9, 10,  1,  3,  1, 10, 11,  3, 10 },
  {  7,  6,  5,  7,  5,  4,  0,  4,  5,  1,  0,  5,  0,  1,  2,  0,  2,  3,  7,  3,  2,  6,  7,  2 },
  { 11,  2, 10,  6, 11, 10, 11,  6,  4, 11,  4,  8,  0,  8,  4,  9,  0,  4,  0,  9, 10,  0, 10,  2 },
  { 11,  2, 10, 11, 10,  6,  4,  6, 10,  9,  4, 10,  4,  9,  0,  4,  0,  8, 11,  8,  0,  2, 11,  0 },
  {  7,  6,  5,  4,  7,  5,  7,  4,  0,  7,  0,  3,  2,  3,  0,  1,  2,  0,  2,  1,  5,  2,  5,  6 },
  {  7,  8,  3, 11,  7,  3,  7, 11, 10,  7, 10,  5,  9,  5, 10,  1,  9, 10,  9,  1,  3,  9,  3,  8 }
}

tiling table for case 10.1.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling10_2[6][24]

static

Initial value:

= {
  { 12,  5,  9, 12,  9,  8, 12,  8,  3, 12,  3,  1, 12,  1, 10, 12, 10, 11, 12, 11,  7, 12,  7,  5 },
  { 12,  1,  0, 12,  0,  4, 12,  4,  7, 12,  7,  3, 12,  3,  2, 12,  2,  6, 12,  6,  5, 12,  5,  1 },
  {  4,  8, 12,  6,  4, 12, 10,  6, 12,  9, 10, 12,  0,  9, 12,  2,  0, 12, 11,  2, 12,  8, 11, 12 },
  { 12,  9,  4, 12,  4,  6, 12,  6, 11, 12, 11,  8, 12,  8,  0, 12,  0,  2, 12,  2, 10, 12, 10,  9 },
  {  0,  3, 12,  4,  0, 12,  5,  4, 12,  1,  5, 12,  2,  1, 12,  6,  2, 12,  7,  6, 12,  3,  7, 12 },
  { 10,  5, 12, 11, 10, 12,  3, 11, 12,  1,  3, 12,  9,  1, 12,  8,  9, 12,  7,  8, 12,  5,  7, 12 }
}

tiling table for case 10.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling10_2_[6][24]

static

Initial value:

= {
  {  8,  7, 12,  9,  8, 12,  1,  9, 12,  3,  1, 12, 11,  3, 12, 10, 11, 12,  5, 10, 12,  7,  5, 12 },
  {  4,  5, 12,  0,  4, 12,  3,  0, 12,  7,  3, 12,  6,  7, 12,  2,  6, 12,  1,  2, 12,  5,  1, 12 },
  { 12, 11,  6, 12,  6,  4, 12,  4,  9, 12,  9, 10, 12, 10,  2, 12,  2,  0, 12,  0,  8, 12,  8, 11 },
  {  6, 10, 12,  4,  6, 12,  8,  4, 12, 11,  8, 12,  2, 11, 12,  0,  2, 12,  9,  0, 12, 10,  9, 12 },
  { 12,  7,  4, 12,  4,  0, 12,  0,  1, 12,  1,  5, 12,  5,  6, 12,  6,  2, 12,  2,  3, 12,  3,  7 },
  { 12,  7, 11, 12, 11, 10, 12, 10,  1, 12,  1,  3, 12,  3,  8, 12,  8,  9, 12,  9,  5, 12,  5,  7 }
}

tiling table for case 10.2 inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling11[12][12]

static

Initial value:

= {
  { 2, 10,  9,  2,  9,  7,  2,  7,  3,  7,  9,  4 },
  { 1,  6,  2,  1,  8,  6,  1,  9,  8,  8,  7,  6 },
  { 8,  3,  1,  8,  1,  6,  8,  6,  4,  6,  1, 10 },
  { 0,  8, 11,  0, 11,  5,  0,  5,  1,  5, 11,  6 },
  { 9,  5,  7,  9,  7,  2,  9,  2,  0,  2,  7, 11 },
  { 5,  0,  4,  5, 11,  0,  5, 10, 11, 11,  3,  0 },
  { 5,  4,  0,  5,  0, 11,  5, 11, 10, 11,  0,  3 },
  { 9,  7,  5,  9,  2,  7,  9,  0,  2,  2, 11,  7 },
  { 0, 11,  8,  0,  5, 11,  0,  1,  5,  5,  6, 11 },
  { 8,  1,  3,  8,  6,  1,  8,  4,  6,  6, 10,  1 },
  { 1,  2,  6,  1,  6,  8,  1,  8,  9,  8,  6,  7 },
  { 2,  9, 10,  2,  7,  9,  2,  3,  7,  7,  4,  9 }
}

tiling table for case 11 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling12_1_1[24][12]

static

Initial value:

= {
  {  7,  6, 11, 10,  3,  2,  3, 10,  8,  9,  8, 10 },
  {  6,  5, 10,  9,  2,  1,  2,  9, 11,  8, 11,  9 },
  { 10,  6,  5,  7,  9,  4,  9,  7,  1,  3,  1,  7 },
  {  7,  6, 11,  4,  8,  5,  3,  5,  8,  5,  3,  1 },
  {  5,  4,  9,  8,  1,  0,  1,  8, 10, 11, 10,  8 },
  {  1,  2, 10,  0,  9,  3,  5,  3,  9,  3,  5,  7 },
  { 10,  1,  2,  0, 11,  3, 11,  0,  6,  4,  6,  0 },
  {  8,  3,  0,  2,  9,  1,  9,  2,  4,  6,  4,  2 },
  {  3,  0,  8,  2, 11,  1,  7,  1, 11,  1,  7,  5 },
  {  6,  5, 10,  7, 11,  4,  2,  4, 11,  4,  2,  0 },
  {  9,  5,  4,  6,  8,  7,  8,  6,  0,  2,  0,  6 },
  {  8,  3,  0,  7,  4, 11,  9, 11,  4, 11,  9, 10 },
  {  4,  7,  8, 11,  0,  3,  0, 11,  9, 10,  9, 11 },
  {  4,  7,  8,  5,  9,  6,  0,  6,  9,  6,  0,  2 },
  { 11,  7,  6,  4, 10,  5, 10,  4,  2,  0,  2,  4 },
  { 11,  2,  3,  1,  8,  0,  8,  1,  7,  5,  7,  1 },
  {  0,  1,  9,  3,  8,  2,  4,  2,  8,  2,  4,  6 },
  {  2,  3, 11,  1, 10,  0,  6,  0, 10,  0,  6,  4 },
  {  9,  0,  1,  3, 10,  2, 10,  3,  5,  7,  5,  3 },
  {  9,  0,  1,  4,  5,  8, 10,  8,  5,  8, 10, 11 },
  {  8,  4,  7,  5, 11,  6, 11,  5,  3,  1,  3,  5 },
  {  5,  4,  9,  6, 10,  7,  1,  7, 10,  7,  1,  3 },
  { 10,  1,  2,  5,  6,  9, 11,  9,  6,  9, 11,  8 },
  { 11,  2,  3,  6,  7, 10,  8, 10,  7, 10,  8,  9 }
}

tiling table for case 12.1.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling12_1_1_[24][12]

static

Initial value:

= {
  {  3,  2, 11, 10,  7,  6,  7, 10,  8,  9,  8, 10 },
  {  2,  1, 10,  9,  6,  5,  6,  9, 11,  8, 11,  9 },
  {  9,  4,  5,  7, 10,  6, 10,  7,  1,  3,  1,  7 },
  {  7,  4,  8,  6, 11,  5,  3,  5, 11,  5,  3,  1 },
  {  1,  0,  9,  8,  5,  4,  5,  8, 10, 11, 10,  8 },
  {  1,  0,  9,  2, 10,  3,  5,  3, 10,  3,  5,  7 },
  { 11,  3,  2,  0, 10,  1, 10,  0,  6,  4,  6,  0 },
  {  9,  1,  0,  2,  8,  3,  8,  2,  4,  6,  4,  2 },
  {  3,  2, 11,  0,  8,  1,  7,  1,  8,  1,  7,  5 },
  {  6,  7, 11,  5, 10,  4,  2,  4, 10,  4,  2,  0 },
  {  8,  7,  4,  6,  9,  5,  9,  6,  0,  2,  0,  6 },
  {  8,  7,  4,  3,  0, 11,  9, 11,  0, 11,  9, 10 },
  {  0,  3,  8, 11,  4,  7,  4, 11,  9, 10,  9, 11 },
  {  4,  5,  9,  7,  8,  6,  0,  6,  8,  6,  0,  2 },
  { 10,  5,  6,  4, 11,  7, 11,  4,  2,  0,  2,  4 },
  {  8,  0,  3,  1, 11,  2, 11,  1,  7,  5,  7,  1 },
  {  0,  3,  8,  1,  9,  2,  4,  2,  9,  2,  4,  6 },
  {  2,  1, 10,  3, 11,  0,  6,  0, 11,  0,  6,  4 },
  { 10,  2,  1,  3,  9,  0,  9,  3,  5,  7,  5,  3 },
  {  9,  4,  5,  0,  1,  8, 10,  8,  1,  8, 10, 11 },
  { 11,  6,  7,  5,  8,  4,  8,  5,  3,  1,  3,  5 },
  {  5,  6, 10,  4,  9,  7,  1,  7,  9,  7,  1,  3 },
  { 10,  5,  6,  1,  2,  9, 11,  9,  2,  9, 11,  8 },
  { 11,  6,  7,  2,  3, 10,  8, 10,  3, 10,  8,  9 }
}

tiling table for case 12.1.1 inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling12_1_2[24][24]

static

Initial value:

= {
  {  7,  3, 11,  3,  7,  8,  9,  8,  7,  6,  9,  7,  9,  6, 10,  2, 10,  6, 11,  2,  6,  2, 11,  3 },
  {  6,  2, 10,  2,  6, 11,  8, 11,  6,  5,  8,  6,  8,  5,  9,  1,  9,  5, 10,  1,  5,  1, 10,  2 },
  { 10,  9,  5,  9, 10,  1,  3,  1, 10,  6,  3, 10,  3,  6,  7,  4,  7,  6,  5,  4,  6,  4,  5,  9 },
  {  7,  8, 11,  3, 11,  8, 11,  3,  1, 11,  1,  6,  5,  6,  1,  6,  5,  4,  6,  4,  7,  8,  7,  4 },
  {  5,  1,  9,  1,  5, 10, 11, 10,  5,  4, 11,  5, 11,  4,  8,  0,  8,  4,  9,  0,  4,  0,  9,  1 },
  {  1,  9, 10,  5, 10,  9, 10,  5,  7, 10,  7,  2,  3,  2,  7,  2,  3,  0,  2,  0,  1,  9,  1,  0 },
  { 10, 11,  2, 11, 10,  6,  4,  6, 10,  1,  4, 10,  4,  1,  0,  3,  0,  1,  2,  3,  1,  3,  2, 11 },
  {  8,  9,  0,  9,  8,  4,  6,  4,  8,  3,  6,  8,  6,  3,  2,  1,  2,  3,  0,  1,  3,  1,  0,  9 },
  {  3, 11,  8,  7,  8, 11,  8,  7,  5,  8,  5,  0,  1,  0,  5,  0,  1,  2,  0,  2,  3, 11,  3,  2 },
  {  6, 11, 10,  2, 10, 11, 10,  2,  0, 10,  0,  5,  4,  5,  0,  5,  4,  7,  5,  7,  6, 11,  6,  7 },
  {  9,  8,  4,  8,  9,  0,  2,  0,  9,  5,  2,  9,  2,  5,  6,  7,  6,  5,  4,  7,  5,  7,  4,  8 },
  {  8,  4,  0,  9,  0,  4,  0,  9, 10,  0, 10,  3, 11,  3, 10,  3, 11,  7,  3,  7,  8,  4,  8,  7 },
  {  4,  0,  8,  0,  4,  9, 10,  9,  4,  7, 10,  4, 10,  7, 11,  3, 11,  7,  8,  3,  7,  3,  8,  0 },
  {  4,  9,  8,  0,  8,  9,  8,  0,  2,  8,  2,  7,  6,  7,  2,  7,  6,  5,  7,  5,  4,  9,  4,  5 },
  { 11, 10,  6, 10, 11,  2,  0,  2, 11,  7,  0, 11,  0,  7,  4,  5,  4,  7,  6,  5,  7,  5,  6, 10 },
  { 11,  8,  3,  8, 11,  7,  5,  7, 11,  2,  5, 11,  5,  2,  1,  0,  1,  2,  3,  0,  2,  0,  3,  8 },
  {  0,  8,  9,  4,  9,  8,  9,  4,  6,  9,  6,  1,  2,  1,  6,  1,  2,  3,  1,  3,  0,  8,  0,  3 },
  {  2, 10, 11,  6, 11, 10, 11,  6,  4, 11,  4,  3,  0,  3,  4,  3,  0,  1,  3,  1,  2, 10,  2,  1 },
  {  9, 10,  1, 10,  9,  5,  7,  5,  9,  0,  7,  9,  7,  0,  3,  2,  3,  0,  1,  2,  0,  2,  1, 10 },
  {  9,  5,  1, 10,  1,  5,  1, 10, 11,  1, 11,  0,  8,  0, 11,  0,  8,  4,  0,  4,  9,  5,  9,  4 },
  {  8, 11,  7, 11,  8,  3,  1,  3,  8,  4,  1,  8,  1,  4,  5,  6,  5,  4,  7,  6,  4,  6,  7, 11 },
  {  5, 10,  9,  1,  9, 10,  9,  1,  3,  9,  3,  4,  7,  4,  3,  4,  7,  6,  4,  6,  5, 10,  5,  6 },
  { 10,  6,  2, 11,  2,  6,  2, 11,  8,  2,  8,  1,  9,  1,  8,  1,  9,  5,  1,  5, 10,  6, 10,  5 },
  { 11,  7,  3,  8,  3,  7,  3,  8,  9,  3,  9,  2, 10,  2,  9,  2, 10,  6,  2,  6, 11,  7, 11,  6 }
}

tiling table for case 12.1.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling12_2[24][24]

static

Initial value:

= {
  {   9,  8, 12, 10,  9, 12,  2, 10, 12,  3,  2, 12, 11,  3, 12,  6, 11, 12,  7,  6, 12,  8,  7, 12 },
  {   8, 11, 12,  9,  8, 12,  1,  9, 12,  2,  1, 12, 10,  2, 12,  5, 10, 12,  6,  5, 12, 11,  6, 12 },
  {   3,  1, 12,  7,  3, 12,  4,  7, 12,  9,  4, 12,  5,  9, 12,  6,  5, 12, 10,  6, 12,  1, 10, 12 },
  {  12,  3,  1, 12,  1,  5, 12,  5,  6, 12,  6, 11, 12, 11,  7, 12,  7,  4, 12,  4,  8, 12,  8,  3 },
  {  11, 10, 12,  8, 11, 12,  0,  8, 12,  1,  0, 12,  9,  1, 12,  4,  9, 12,  5,  4, 12, 10,  5, 12 },
  {  12,  5,  7, 12,  7,  3, 12,  3,  2, 12,  2, 10, 12, 10,  1, 12,  1,  0, 12,  0,  9, 12,  9,  5 },
  {   4,  6, 12,  0,  4, 12,  1,  0, 12, 10,  1, 12,  2, 10, 12,  3,  2, 12, 11,  3, 12,  6, 11, 12 },
  {   6,  4, 12,  2,  6, 12,  3,  2, 12,  8,  3, 12,  0,  8, 12,  1,  0, 12,  9,  1, 12,  4,  9, 12 },
  {  12,  7,  5, 12,  5,  1, 12,  1,  0, 12,  0,  8, 12,  8,  3, 12,  3,  2, 12,  2, 11, 12, 11,  7 },
  {  12,  2,  0, 12,  0,  4, 12,  4,  5, 12,  5, 10, 12, 10,  6, 12,  6,  7, 12,  7, 11, 12, 11,  2 },
  {   2,  0, 12,  6,  2, 12,  7,  6, 12,  8,  7, 12,  4,  8, 12,  5,  4, 12,  9,  5, 12,  0,  9, 12 },
  {  12,  9, 10, 12, 10, 11, 12, 11,  7, 12,  7,  4, 12,  4,  8, 12,  8,  3, 12,  3,  0, 12,  0,  9 },
  {  10,  9, 12, 11, 10, 12,  7, 11, 12,  4,  7, 12,  8,  4, 12,  3,  8, 12,  0,  3, 12,  9,  0, 12 },
  {  12,  0,  2, 12,  2,  6, 12,  6,  7, 12,  7,  8, 12,  8,  4, 12,  4,  5, 12,  5,  9, 12,  9,  0 },
  {   0,  2, 12,  4,  0, 12,  5,  4, 12, 10,  5, 12,  6, 10, 12,  7,  6, 12, 11,  7, 12,  2, 11, 12 },
  {   5,  7, 12,  1,  5, 12,  0,  1, 12,  8,  0, 12,  3,  8, 12,  2,  3, 12, 11,  2, 12,  7, 11, 12 },
  {  12,  4,  6, 12,  6,  2, 12,  2,  3, 12,  3,  8, 12,  8,  0, 12,  0,  1, 12,  1,  9, 12,  9,  4 },
  {  12,  6,  4, 12,  4,  0, 12,  0,  1, 12,  1, 10, 12, 10,  2, 12,  2,  3, 12,  3, 11, 12, 11,  6 },
  {   7,  5, 12,  3,  7, 12,  2,  3, 12, 10,  2, 12,  1, 10, 12,  0,  1, 12,  9,  0, 12,  5,  9, 12 },
  {  12, 10, 11, 12, 11,  8, 12,  8,  0, 12,  0,  1, 12,  1,  9, 12,  9,  4, 12,  4,  5, 12,  5, 10 },
  {   1,  3, 12,  5,  1, 12,  6,  5, 12, 11,  6, 12,  7, 11, 12,  4,  7, 12,  8,  4, 12,  3,  8, 12 },
  {  12,  1,  3, 12,  3,  7, 12,  7,  4, 12,  4,  9, 12,  9,  5, 12,  5,  6, 12,  6, 10, 12, 10,  1 },
  {  12, 11,  8, 12,  8,  9, 12,  9,  1, 12,  1,  2, 12,  2, 10, 12, 10,  5, 12,  5,  6, 12,  6, 11 },
  {  12,  8,  9, 12,  9, 10, 12, 10,  2, 12,  2,  3, 12,  3, 11, 12, 11,  6, 12,  6,  7, 12,  7,  8 }
}

tiling table for case 12.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling12_2_[24][24]

static

Initial value:

= {
  { 12,  2, 11, 12, 11,  7, 12,  7,  6, 12,  6, 10, 12, 10,  9, 12,  9,  8, 12,  8,  3, 12,  3,  2 },
  { 12,  1, 10, 12, 10,  6, 12,  6,  5, 12,  5,  9, 12,  9,  8, 12,  8, 11, 12, 11,  2, 12,  2,  1 },
  { 12,  4,  5, 12,  5, 10, 12, 10,  6, 12,  6,  7, 12,  7,  3, 12,  3,  1, 12,  1,  9, 12,  9,  4 },
  {  7,  6, 12,  8,  7, 12,  4,  8, 12,  5,  4, 12,  1,  5, 12,  3,  1, 12, 11,  3, 12,  6, 11, 12 },
  { 12,  0,  9, 12,  9,  5, 12,  5,  4, 12,  4,  8, 12,  8, 11, 12, 11, 10, 12, 10,  1, 12,  1,  0 },
  {  1,  2, 12,  9,  1, 12,  0,  9, 12,  3,  0, 12,  7,  3, 12,  5,  7, 12, 10,  5, 12,  2, 10, 12 },
  { 12,  1,  2, 12,  2, 11, 12, 11,  3, 12,  3,  0, 12,  0,  4, 12,  4,  6, 12,  6, 10, 12, 10,  1 },
  { 12,  3,  0, 12,  0,  9, 12,  9,  1, 12,  1,  2, 12,  2,  6, 12,  6,  4, 12,  4,  8, 12,  8,  3 },
  {  3,  0, 12, 11,  3, 12,  2, 11, 12,  1,  2, 12,  5,  1, 12,  7,  5, 12,  8,  7, 12,  0,  8, 12 },
  {  6,  5, 12, 11,  6, 12,  7, 11, 12,  4,  7, 12,  0,  4, 12,  2,  0, 12, 10,  2, 12,  5, 10, 12 },
  { 12,  7,  4, 12,  4,  9, 12,  9,  5, 12,  5,  6, 12,  6,  2, 12,  2,  0, 12,  0,  8, 12,  8,  7 },
  {  8,  7, 12,  0,  8, 12,  3,  0, 12, 11,  3, 12, 10, 11, 12,  9, 10, 12,  4,  9, 12,  7,  4, 12 },
  { 12,  7,  8, 12,  8,  0, 12,  0,  3, 12,  3, 11, 12, 11, 10, 12, 10,  9, 12,  9,  4, 12,  4,  7 },
  {  4,  7, 12,  9,  4, 12,  5,  9, 12,  6,  5, 12,  2,  6, 12,  0,  2, 12,  8,  0, 12,  7,  8, 12 },
  { 12,  5,  6, 12,  6, 11, 12, 11,  7, 12,  7,  4, 12,  4,  0, 12,  0,  2, 12,  2, 10, 12, 10,  5 },
  { 12,  0,  3, 12,  3, 11, 12, 11,  2, 12,  2,  1, 12,  1,  5, 12,  5,  7, 12,  7,  8, 12,  8,  0 },
  {  0,  3, 12,  9,  0, 12,  1,  9, 12,  2,  1, 12,  6,  2, 12,  4,  6, 12,  8,  4, 12,  3,  8, 12 },
  {  2,  1, 12, 11,  2, 12,  3, 11, 12,  0,  3, 12,  4,  0, 12,  6,  4, 12, 10,  6, 12,  1, 10, 12 },
  { 12,  2,  1, 12,  1,  9, 12,  9,  0, 12,  0,  3, 12,  3,  7, 12,  7,  5, 12,  5, 10, 12, 10,  2 },
  {  9,  0, 12,  5,  9, 12,  4,  5, 12,  8,  4, 12, 11,  8, 12, 10, 11, 12,  1, 10, 12,  0,  1, 12 },
  { 12,  6,  7, 12,  7,  8, 12,  8,  4, 12,  4,  5, 12,  5,  1, 12,  1,  3, 12,  3, 11, 12, 11,  6 },
  {  5,  4, 12, 10,  5, 12,  6, 10, 12,  7,  6, 12,  3,  7, 12,  1,  3, 12,  9,  1, 12,  4,  9, 12 },
  { 10,  1, 12,  6, 10, 12,  5,  6, 12,  9,  5, 12,  8,  9, 12, 11,  8, 12,  2, 11, 12,  1,  2, 12 },
  { 11,  2, 12,  7, 11, 12,  6,  7, 12, 10,  6, 12,  9, 10, 12,  8,  9, 12,  3,  8, 12,  2,  3, 12 }
}

tiling table for case 12.2 inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling13_1[2][12]

static

Initial value:

= {
  { 11,  7,  6,  1,  2, 10,  8,  3,  0,  9,  5, 4 },
  {  8,  4,  7,  2,  3, 11,  9,  0,  1, 10,  6, 5 }
}

tiling table for case 13.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling13_1_[2][12]

static

Initial value:

= {
  { 7,  4,  8, 11,  3,  2,  1,  0,  9,  5,  6, 10 },
  { 6,  7, 11, 10,  2,  1,  0,  3,  8,  4,  5,  9 }
}

tiling table for case 13.1 inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling13_2[2][6][18]

static

Initial value:

= {
  {
  { 1,  2, 10, 11,  7,  6,  3,  4,  8,  4,  3,  5,  0,  5,  3,  5,  0,  9 },
  { 8,  3,  0, 11,  7,  6,  9,  1,  4,  2,  4,  1,  4,  2,  5, 10,  5,  2 },
  { 9,  5,  4,  8,  3,  0,  1,  6, 10,  6,  1,  7,  2,  7,  1,  7,  2, 11 },
  { 9,  5,  4,  1,  2, 10, 11,  3,  6,  0,  6,  3,  6,  0,  7,  8,  7,  0 },
  { 9,  5,  4, 11,  7,  6,  0, 10,  1, 10,  0,  8, 10,  8,  2,  3,  2,  8 },
  { 1,  2, 10,  3,  0,  8,  4,  9,  7, 11,  7,  9,  5, 11,  9, 11,  5,  6 }
},
  {
  { 2,  3, 11,  8,  4,  7,  0,  5,  9,  5,  0,  6,  1,  6,  0,  6,  1, 10 },
  { 9,  0,  1,  8,  4,  7, 10,  2,  5,  3,  5,  2,  5,  3,  6, 11,  6,  3 },
  { 6,  5, 10,  9,  0,  1,  2,  7, 11,  7,  2,  4,  3,  4,  2,  4,  3,  8 },
  { 6,  5, 10,  2,  3, 11,  8,  0,  7,  1,  7,  0,  7,  1,  4,  9,  4,  1 },
  { 6,  5, 10,  8,  4,  7,  1, 11,  2, 11,  1,  9, 11,  9,  3,  0,  3,  9 },
  { 2,  3, 11,  0,  1,  9,  5, 10,  4,  8,  4, 10,  6,  8, 10,  8,  6,  7 }
} }

tiling table for case 13.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling13_2_[2][6][18]

static

Initial value:

= {
  {
  { 10,  5,  6, 11,  3,  2,  7,  0,  8,  0,  7,  1,  4,  1,  7,  1,  4,  9 },
  { 11,  3,  2,  7,  4,  8,  9,  5,  0,  6,  0,  5,  0,  6,  1, 10,  1,  6 },
  {  1,  0,  9,  7,  4,  8,  5,  2, 10,  2,  5,  3,  6,  3,  5,  3,  6, 11 },
  { 10,  5,  6,  1,  0,  9, 11,  7,  2,  4,  2,  7,  2,  4,  3,  8,  3,  4 },
  { 10,  5,  6,  7,  4,  8,  2, 11,  1,  9,  1, 11,  3,  9, 11,  9,  3,  0 },
  { 11,  3,  2,  9,  1,  0,  4, 10,  5, 10,  4,  8, 10,  8,  6,  7,  6,  8 }
},
  {
  {  6,  7, 11,  8,  0,  3,  4,  1,  9,  1,  4,  2,  5,  2,  4,  2,  5, 10 },
  {  8,  0,  3,  4,  5,  9, 10,  6,  1,  7,  1,  6,  1,  7,  2, 11,  2,  7 },
  {  2,  1, 10,  4,  5,  9,  6,  3, 11,  3,  6,  0,  7,  0,  6,  0,  7,  8 },
  {  6,  7, 11,  2,  1, 10,  8,  4,  3,  5,  3,  4,  3,  5,  0,  9,  0,  5 },
  {  6,  7, 11,  4,  5,  9,  3,  8,  2, 10,  2,  8,  0, 10,  8, 10,  0,  1 },
  {  8,  0,  3, 10,  2,  1,  5, 11,  6, 11,  5,  9, 11,  9,  7,  4,  7,  9 }
} }

tiling table for case 13.2 inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling13_3[2][12][30]

static

Initial value:

= {
  {
  { 11,  7,  6, 12,  2, 10, 12, 10,  5, 12,  5,  4, 12,  4,  8, 12,  8,  3, 12,  3,  0, 12,  0,  9, 12,  9,  1, 12,  1,  2 },
  {  1,  2, 10,  9,  5, 12,  0,  9, 12,  3,  0, 12, 11,  3, 12,  6, 11, 12,  7,  6, 12,  8,  7, 12,  4,  8, 12,  5,  4, 12 },
  { 11,  7,  6, 12,  5,  4, 12,  4,  8, 12,  8,  3, 12,  3,  2, 12,  2, 10, 12, 10,  1, 12,  1,  0, 12,  0,  9, 12,  9,  5 },
  {  1,  2, 10, 12,  3,  0, 12,  0,  9, 12,  9,  5, 12,  5,  6, 12,  6, 11, 12, 11,  7, 12,  7,  4, 12,  4,  8, 12,  8,  3 },
  {  8,  3,  0, 11,  7, 12,  2, 11, 12,  1,  2, 12,  9,  1, 12,  4,  9, 12,  5,  4, 12, 10,  5, 12,  6, 10, 12,  7,  6, 12 },
  { 11,  7,  6,  5,  4, 12, 10,  5, 12,  2, 10, 12,  3,  2, 12,  8,  3, 12,  0,  8, 12,  1,  0, 12,  9,  1, 12,  4,  9, 12 },
  {  8,  3,  0,  1,  2, 12,  9,  1, 12,  4,  9, 12,  7,  4, 12, 11,  7, 12,  6, 11, 12,  5,  6, 12, 10,  5, 12,  2, 10, 12 },
  {  9,  5,  4, 12,  0,  8, 12,  8,  7, 12,  7,  6, 12,  6, 10, 12, 10,  1, 12,  1,  2, 12,  2, 11, 12, 11,  3, 12,  3,  0 },
  {  9,  5,  4, 12,  7,  6, 12,  6, 10, 12, 10,  1, 12,  1,  0, 12,  0,  8, 12,  8,  3, 12,  3,  2, 12,  2, 11, 12, 11,  7 },
  {  8,  3,  0, 12,  1,  2, 12,  2, 11, 12, 11,  7, 12,  7,  4, 12,  4,  9, 12,  9,  5, 12,  5,  6, 12,  6, 10, 12, 10,  1 },
  {  9,  5,  4,  7,  6, 12,  8,  7, 12,  0,  8, 12,  1,  0, 12, 10,  1, 12,  2, 10, 12,  3,  2, 12, 11,  3, 12,  6, 11, 12 },
  {  1,  2, 10,  3,  0, 12, 11,  3, 12,  6, 11, 12,  5,  6, 12,  9,  5, 12,  4,  9, 12,  7,  4, 12,  8,  7, 12,  0,  8, 12 }
},
  {
  {  8,  4,  7, 12,  3, 11, 12, 11,  6, 12,  6,  5, 12,  5,  9, 12,  9,  0, 12,  0,  1, 12,  1, 10, 12, 10,  2, 12,  2,  3 },
  {  2,  3, 11, 10,  6, 12,  1, 10, 12,  0,  1, 12,  8,  0, 12,  7,  8, 12,  4,  7, 12,  9,  4, 12,  5,  9, 12,  6,  5, 12 },
  {  8,  4,  7, 12,  6,  5, 12,  5,  9, 12,  9,  0, 12,  0,  3, 12,  3, 11, 12, 11,  2, 12,  2,  1, 12,  1, 10, 12, 10,  6 },
  {  2,  3, 11, 12,  0,  1, 12,  1, 10, 12, 10,  6, 12,  6,  7, 12,  7,  8, 12,  8,  4, 12,  4,  5, 12,  5,  9, 12,  9,  0 },
  {  0,  1,  9,  8,  4, 12,  3,  8, 12,  2,  3, 12, 10,  2, 12,  5, 10, 12,  6,  5, 12, 11,  6, 12,  7, 11, 12,  4,  7, 12 },
  {  8,  4,  7,  6,  5, 12, 11,  6, 12,  3, 11, 12,  0,  3, 12,  9,  0, 12,  1,  9, 12,  2,  1, 12, 10,  2, 12,  5, 10, 12 },
  {  9,  0,  1,  2,  3, 12, 10,  2, 12,  5, 10, 12,  4,  5, 12,  8,  4, 12,  7,  8, 12,  6,  7, 12, 11,  6, 12,  3, 11, 12 },
  {  6,  5, 10, 12,  1,  9, 12,  9,  4, 12,  4,  7, 12,  7, 11, 12, 11,  2, 12,  2,  3, 12,  3,  8, 12,  8,  0, 12,  0,  1 },
  {  6,  5, 10, 12,  4,  7, 12,  7, 11, 12, 11,  2, 12,  2,  1, 12,  1,  9, 12,  9,  0, 12,  0,  3, 12,  3,  8, 12,  8,  4 },
  {  9,  0,  1, 12,  2,  3, 12,  3,  8, 12,  8,  4, 12,  4,  5, 12,  5, 10, 12, 10,  6, 12,  6,  7, 12,  7, 11, 12, 11,  2 },
  {  6,  5, 10,  4,  7, 12,  9,  4, 12,  1,  9, 12,  2,  1, 12, 11,  2, 12,  3, 11, 12,  0,  3, 12,  8,  0, 12,  7,  8, 12 },
  {  2,  3, 11,  0,  1, 12,  8,  0, 12,  7,  8, 12,  6,  7, 12, 10,  6, 12,  5, 10, 12,  4,  5, 12,  9,  4, 12,  1,  9, 12 }
} }

tiling table for case 13.3 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling13_3_[2][12][30]

static

Initial value:

= {
  {
  {  3,  2, 11,  8,  7, 12,  0,  8, 12,  1,  0, 12, 10,  1, 12,  6, 10, 12,  5,  6, 12,  9,  5, 12,  4,  9, 12,  7,  4, 12 },
  {  5,  6, 10, 12,  2, 11, 12, 11,  7, 12,  7,  4, 12,  4,  9, 12,  9,  1, 12,  1,  0, 12,  0,  8, 12,  8,  3, 12,  3,  2 },
  { 10,  5,  6, 12,  7,  4, 12,  4,  9, 12,  9,  1, 12,  1,  2, 12,  2, 11, 12, 11,  3, 12,  3,  0, 12,  0,  8, 12,  8,  7 },
  { 11,  3,  2, 12,  1,  0, 12,  0,  8, 12,  8,  7, 12,  7,  6, 12,  6, 10, 12, 10,  5, 12,  5,  4, 12,  4,  9, 12,  9,  1 },
  {  7,  4,  8, 11,  3, 12,  6, 11, 12,  5,  6, 12,  9,  5, 12,  0,  9, 12,  1,  0, 12, 10,  1, 12,  2, 10, 12,  3,  2, 12 },
  {  7,  4,  8,  5,  6, 12,  9,  5, 12,  0,  9, 12,  3,  0, 12, 11,  3, 12,  2, 11, 12,  1,  2, 12, 10,  1, 12,  6, 10, 12 },
  { 11,  3,  2,  1,  0, 12, 10,  1, 12,  6, 10, 12,  7,  6, 12,  8,  7, 12,  4,  8, 12,  5,  4, 12,  9,  5, 12,  0,  9, 12 },
  {  1,  0,  9, 12,  4,  8, 12,  8,  3, 12,  3,  2, 12,  2, 10, 12, 10,  5, 12,  5,  6, 12,  6, 11, 12, 11,  7, 12,  7,  4 },
  {  7,  4,  8, 12,  5,  6, 12,  6, 11, 12, 11,  3, 12,  3,  0, 12,  0,  9, 12,  9,  1, 12,  1,  2, 12,  2, 10, 12, 10,  5 },
  {  1,  0,  9, 12,  3,  2, 12,  2, 10, 12, 10,  5, 12,  5,  4, 12,  4,  8, 12,  8,  7, 12,  7,  6, 12,  6, 11, 12, 11,  3 },
  { 10,  5,  6,  7,  4, 12, 11,  7, 12,  2, 11, 12,  1,  2, 12,  9,  1, 12,  0,  9, 12,  3,  0, 12,  8,  3, 12,  4,  8, 12 },
  {  9,  1,  0,  3,  2, 12,  8,  3, 12,  4,  8, 12,  5,  4, 12, 10,  5, 12,  6, 10, 12,  7,  6, 12, 11,  7, 12,  2, 11, 12 }
},
  {
  {  0,  3,  8,  9,  4, 12,  1,  9, 12,  2,  1, 12, 11,  2, 12,  7, 11, 12,  6,  7, 12, 10,  6, 12,  5, 10, 12,  4,  5, 12 },
  { 11,  6,  7, 12,  3,  8, 12,  8,  4, 12,  4,  5, 12,  5, 10, 12, 10,  2, 12,  2,  1, 12,  1,  9, 12,  9,  0, 12,  0,  3 },
  {  6,  7, 11, 12,  4,  5, 12,  5, 10, 12, 10,  2, 12,  2,  3, 12,  3,  8, 12,  8,  0, 12,  0,  1, 12,  1,  9, 12,  9,  4 },
  {  8,  0,  3, 12,  2,  1, 12,  1,  9, 12,  9,  4, 12,  4,  7, 12,  7, 11, 12, 11,  6, 12,  6,  5, 12,  5, 10, 12, 10,  2 },
  {  4,  5,  9,  8,  0, 12,  7,  8, 12,  6,  7, 12, 10,  6, 12,  1, 10, 12,  2,  1, 12, 11,  2, 12,  3, 11, 12,  0,  3, 12 },
  {  4,  5,  9,  6,  7, 12, 10,  6, 12,  1, 10, 12,  0,  1, 12,  8,  0, 12,  3,  8, 12,  2,  3, 12, 11,  2, 12,  7, 11, 12 },
  {  8,  0,  3,  2,  1, 12, 11,  2, 12,  7, 11, 12,  4,  7, 12,  9,  4, 12,  5,  9, 12,  6,  5, 12, 10,  6, 12,  1, 10, 12 },
  {  2,  1, 10, 12,  5,  9, 12,  9,  0, 12,  0,  3, 12,  3, 11, 12, 11,  6, 12,  6,  7, 12,  7,  8, 12,  8,  4, 12,  4,  5 },
  {  4,  5,  9, 12,  6,  7, 12,  7,  8, 12,  8,  0, 12,  0,  1, 12,  1, 10, 12, 10,  2, 12,  2,  3, 12,  3, 11, 12, 11,  6 },
  {  2,  1, 10, 12,  0,  3, 12,  3, 11, 12, 11,  6, 12,  6,  5, 12,  5,  9, 12,  9,  4, 12,  4,  7, 12,  7,  8, 12,  8,  0 },
  {  6,  7, 11,  4,  5, 12,  8,  4, 12,  3,  8, 12,  2,  3, 12, 10,  2, 12,  1, 10, 12,  0,  1, 12,  9,  0, 12,  5,  9, 12 },
  { 10,  2,  1,  0,  3, 12,  9,  0, 12,  5,  9, 12,  6,  5, 12, 11,  6, 12,  7, 11, 12,  4,  7, 12,  8,  4, 12,  3,  8, 12 }
} }

tiling table for case 13.3, inverted For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling13_4[2][4][36]

static

Initial value:

= {
  {
  { 12,  2, 10, 12, 10,  5, 12,  5,  6, 12,  6, 11, 12, 11,  7, 12,  7,  4, 12,  4,  8, 12,  8,  3, 12,  3,  0, 12,  0,  9, 12,  9,  1, 12,  1,  2 },
  { 11,  3, 12,  6, 11, 12,  7,  6, 12,  8,  7, 12,  4,  8, 12,  5,  4, 12,  9,  5, 12,  0,  9, 12,  1,  0, 12, 10,  1, 12,  2, 10, 12,  3,  2, 12 },
  {  9,  1, 12,  4,  9, 12,  5,  4, 12, 10,  5, 12,  6, 10, 12,  7,  6, 12, 11,  7, 12,  2, 11, 12,  3,  2, 12,  8,  3, 12,  0,  8, 12,  1,  0, 12 },
  { 12,  0,  8, 12,  8,  7, 12,  7,  4, 12,  4,  9, 12,  9,  5, 12,  5,  6, 12,  6, 10, 12, 10,  1, 12,  1,  2, 12,  2, 11, 12, 11,  3, 12,  3,  0 }
},
  {
  { 12,  3, 11, 12, 11,  6, 12,  6,  7, 12,  7,  8, 12,  8,  4, 12,  4,  5, 12,  5,  9, 12,  9,  0, 12,  0,  1, 12,  1, 10, 12, 10,  2, 12,  2,  3 },
  {  8,  0, 12,  7,  8, 12,  4,  7, 12,  9,  4, 12,  5,  9, 12,  6,  5, 12, 10,  6, 12,  1, 10, 12,  2,  1, 12, 11,  2, 12,  3, 11, 12,  0,  3, 12 },
  { 10,  2, 12,  5, 10, 12,  6,  5, 12, 11,  6, 12,  7, 11, 12,  4,  7, 12,  8,  4, 12,  3,  8, 12,  0,  3, 12,  9,  0, 12,  1,  9, 12,  2,  1, 12 },
  { 12,  1,  9, 12,  9,  4, 12,  4,  5, 12,  5, 10, 12, 10,  6, 12,  6,  7, 12,  7, 11, 12, 11,  2, 12,  2,  3, 12,  3,  8, 12,  8,  0, 12,  0,  1 }
} }

tiling table for case 13.4 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling13_5_1[2][4][18]

static

Initial value:

= {
  {
  {  7,  6, 11,  1,  0,  9, 10,  3,  2,  3, 10,  5,  3,  5,  8,  4,  8, 5 },
  {  1,  2, 10,  7,  4,  8,  3,  0, 11,  6, 11,  0,  9,  6,  0,  6,  9, 5 },
  {  3,  0,  8,  5,  6, 10,  1,  2,  9,  4,  9,  2, 11,  4,  2,  4, 11, 7 },
  {  5,  4,  9,  3,  2, 11,  8,  1,  0,  1,  8,  7,  1,  7, 10,  6, 10, 7 }
},
  {
  {  4,  7,  8,  2,  1, 10, 11,  0,  3,  0, 11,  6,  0,  6,  9,  5,  9, 6 },
  {  2,  3, 11,  4,  5,  9,  0,  1,  8,  7,  8,  1, 10,  7,  1,  7, 10, 6 },
  {  0,  1,  9,  6,  7, 11,  2,  3, 10,  5, 10,  3,  8,  5,  3,  5,  8, 4 },
  {  6,  5, 10,  0,  3,  8,  9,  2,  1,  2,  9,  4,  2,  4, 11,  7, 11, 4 }
} }

tiling table for case 13.5.1 The support edge for the interior test is marked as the 1st column. For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling13_5_2[2][4][30]

static

Initial value:

= {
  {
  { 1,  0,  9,  7,  4,  8,  7,  8,  3,  7,  3, 11,  2, 11,  3, 11,  2, 10, 11, 10,  6,  5,  6, 10,  6,  5,  7,  4,  7, 5 },
  { 7,  4,  8, 11,  3,  2,  6, 11,  2, 10,  6,  2,  6, 10,  5,  9,  5, 10,  1,  9, 10,  9,  1,  0,  2,  0,  1,  0,  2, 3 },
  { 5,  6, 10,  9,  1,  0,  4,  9,  0,  8,  4,  0,  4,  8,  7, 11,  7,  8,  3, 11,  8, 11,  3,  2,  0,  2,  3,  2,  0, 1 },
  { 3,  2, 11,  5,  6, 10,  5, 10,  1,  5,  1,  9,  0,  9,  1,  9,  0,  8,  9,  8,  4,  4,  8,  7,  4,  7,  5,  6,  5, 7 }
},
  {
  { 2,  1, 10,  4,  5,  9,  4,  9,  0,  4,  0,  8,  3,  8,  0,  8,  3, 11,  8, 11,  7,  6,  7, 11,  7,  6,  4,  5,  4, 6 },
  { 4,  5,  9,  8,  0,  3,  7,  8,  3, 11,  7,  3,  7, 11,  6, 10,  6, 11,  2, 10, 11, 10,  2,  1,  3,  1,  2,  1,  3, 0 },
  { 6,  7, 11, 10,  2,  1,  5, 10,  1,  9,  5,  1,  5,  9,  4,  8,  4,  9,  0,  8,  9,  8,  0,  3,  1,  3,  0,  3,  1, 2 },
  { 0,  3,  8,  6,  7, 11,  6, 11,  2,  6,  2, 10,  1, 10,  2, 10,  1,  9, 10,  9,  5,  5,  9,  4,  5,  4,  6,  7,  6, 4 }
} }

tiling table for case 13.5.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling14[12][12]

static

Initial value:

= {
  {  5,  9,  8,  5,  8,  2,  5,  2,  6,  3,  2,  8 },
  {  2,  1,  5,  2,  5,  8,  2,  8, 11,  4,  8,  5 },
  {  9,  4,  6,  9,  6,  3,  9,  3,  1, 11,  3,  6 },
  {  1, 11, 10,  1,  4, 11,  1,  0,  4,  7, 11,  4 },
  {  8,  2,  0,  8,  5,  2,  8,  7,  5, 10,  2,  5 },
  {  0,  7,  3,  0, 10,  7,  0,  9, 10,  6,  7, 10 },
  {  0,  3,  7,  0,  7, 10,  0, 10,  9,  6, 10,  7 },
  {  8,  0,  2,  8,  2,  5,  8,  5,  7, 10,  5,  2 },
  {  1, 10, 11,  1, 11,  4,  1,  4,  0,  7,  4, 11 },
  {  9,  6,  4,  9,  3,  6,  9,  1,  3, 11,  6,  3 },
  {  2,  5,  1,  2,  8,  5,  2, 11,  8,  4,  5,  8 },
  {  5,  8,  9,  5,  2,  8,  5,  6,  2,  3,  8,  2 }
}

tiling table for case 14 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling2[24][6]

static

Initial value:

= {
  {  1,  8,  3,  9,  8,  1 },
  {  0, 11,  2,  8, 11,  0 },
  {  4,  3,  0,  7,  3,  4 },
  {  9,  2, 10,  0,  2,  9 },
  {  0,  5,  4,  1,  5,  0 },
  {  3, 10,  1, 11, 10,  3 },
  {  1,  6,  5,  2,  6,  1 },
  {  7,  2,  3,  6,  2,  7 },
  {  9,  7,  8,  5,  7,  9 },
  {  6,  8,  4, 11,  8,  6 },
  { 10,  4,  9,  6,  4, 10 },
  { 11,  5, 10,  7,  5, 11 },
  { 11, 10,  5,  7, 11,  5 },
  { 10,  9,  4,  6, 10,  4 },
  {  6,  4,  8, 11,  6,  8 },
  {  9,  8,  7,  5,  9,  7 },
  {  7,  3,  2,  6,  7,  2 },
  {  1,  5,  6,  2,  1,  6 },
  {  3,  1, 10, 11,  3, 10 },
  {  0,  4,  5,  1,  0,  5 },
  {  9, 10,  2,  0,  9,  2 },
  {  4,  0,  3,  7,  4,  3 },
  {  0,  2, 11,  8,  0, 11 },
  {  1,  3,  8,  9,  1,  8 }
}

tiling table for case 2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling3_1[24][6]

static

Initial value:

= {
  {  0,  8,  3,  1,  2, 10 },
  {  9,  5,  4,  0,  8,  3 },
  {  3,  0,  8, 11,  7,  6 },
  {  1,  9,  0,  2,  3, 11 },
  {  0,  1,  9,  8,  4,  7 },
  {  9,  0,  1,  5, 10,  6 },
  {  1,  2, 10,  9,  5,  4 },
  { 10,  1,  2,  6, 11,  7 },
  {  8,  4,  7,  3, 11,  2 },
  {  2,  3, 11, 10,  6,  5 },
  {  5, 10,  6,  4,  7,  8 },
  {  4,  9,  5,  7,  6, 11 },
  {  5,  9,  4, 11,  6,  7 },
  {  6, 10,  5,  8,  7,  4 },
  { 11,  3,  2,  5,  6, 10 },
  {  7,  4,  8,  2, 11,  3 },
  {  2,  1, 10,  7, 11,  6 },
  { 10,  2,  1,  4,  5,  9 },
  {  1,  0,  9,  6, 10,  5 },
  {  9,  1,  0,  7,  4,  8 },
  {  0,  9,  1, 11,  3,  2 },
  {  8,  0,  3,  6,  7, 11 },
  {  4,  5,  9,  3,  8,  0 },
  {  3,  8,  0, 10,  2,  1 }
}

tiling table for case 3.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling3_2[24][12]

static

Initial value:

= {
  { 10,  3,  2, 10,  8,  3, 10,  1,  0,  8, 10,  0 },
  {  3,  4,  8,  3,  5,  4,  3,  0,  9,  5,  3,  9 },
  {  6,  8,  7,  6,  0,  8,  6, 11,  3,  0,  6,  3 },
  { 11,  0,  3, 11,  9,  0, 11,  2,  1,  9, 11,  1 },
  {  7,  9,  4,  7,  1,  9,  7,  8,  0,  1,  7,  0 },
  {  6,  1, 10,  6,  0,  1,  9,  0,  6,  9,  6,  5 },
  {  4, 10,  5,  4,  2, 10,  4,  9,  1,  2,  4,  1 },
  {  7,  2, 11,  7,  1,  2,  7,  6, 10,  1,  7, 10 },
  {  2,  7, 11,  2,  4,  7,  2,  3,  8,  4,  2,  8 },
  {  5, 11,  6,  5,  3, 11,  5, 10,  2,  3,  5,  2 },
  {  8,  6,  7,  8, 10,  6,  8,  4,  5, 10,  8,  5 },
  { 11,  5,  6, 11,  9,  5, 11,  7,  4,  9, 11,  4 },
  {  6,  5, 11,  5,  9, 11,  4,  7, 11,  4, 11,  9 },
  {  7,  6,  8,  6, 10,  8,  5,  4,  8,  5,  8, 10 },
  {  6, 11,  5, 11,  3,  5,  2, 10,  5,  2,  5,  3 },
  { 11,  7,  2,  7,  4,  2,  8,  3,  2,  8,  2,  4 },
  { 11,  2,  7,  2,  1,  7, 10,  6,  7, 10,  7,  1 },
  {  5, 10,  4, 10,  2,  4,  1,  9,  4,  1,  4,  2 },
  { 10,  1,  6,  1,  0,  6,  6,  0,  9,  5,  6,  9 },
  {  4,  9,  7,  9,  1,  7,  0,  8,  7,  0,  7,  1 },
  {  3,  0, 11,  0,  9, 11,  1,  2, 11,  1, 11,  9 },
  {  7,  8,  6,  8,  0,  6,  3, 11,  6,  3,  6,  0 },
  {  8,  4,  3,  4,  5,  3,  9,  0,  3,  9,  3,  5 },
  {  2,  3, 10,  3,  8, 10,  0,  1, 10,  0, 10,  8 }
}

tiling table for case 3.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling4_1[8][6]

static

Initial value:

= {
  {  0,  8,  3,  5, 10,  6 },
  {  0,  1,  9, 11,  7,  6 },
  {  1,  2, 10,  8,  4,  7 },
  {  9,  5,  4,  2,  3, 11 },
  {  4,  5,  9, 11,  3,  2 },
  { 10,  2,  1,  7,  4,  8 },
  {  9,  1,  0,  6,  7, 11 },
  {  3,  8,  0,  6, 10,  5 }
}

tiling table for case 4.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling4_2[8][18]

static

Initial value:

= {
  {  8,  5,  0,  5,  8,  6,  3,  6,  8,  6,  3, 10,  0, 10,  3, 10,  0,  5 },
  {  9,  6,  1,  6,  9,  7,  0,  7,  9,  7,  0, 11,  1, 11,  0, 11,  1,  6 },
  { 10,  7,  2,  7, 10,  4,  1,  4, 10,  4,  1,  8,  2,  8,  1,  8,  2,  7 },
  { 11,  4,  3,  4, 11,  5,  2,  5, 11,  5,  2,  9,  3,  9,  2,  9,  3,  4 },
  {  3,  4, 11,  5, 11,  4, 11,  5,  2,  9,  2,  5,  2,  9,  3,  4,  3,  9 },
  {  2,  7, 10,  4, 10,  7, 10,  4,  1,  8,  1,  4,  1,  8,  2,  7,  2,  8 },
  {  1,  6,  9,  7,  9,  6,  9,  7,  0, 11,  0,  7,  0, 11,  1,  6,  1, 11 },
  {  0,  5,  8,  6,  8,  5,  8,  6,  3, 10,  3,  6,  3, 10,  0,  5,  0, 10 }
}

tiling table for case 4.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling5[48][9]

static

tiling table for case 5 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling6_1_1[48][9]

static

tiling table for case 6.1.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling6_1_2[48][27]

static

tiling table for case 6.1.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling6_2[48][15]

static

tiling table for case 6.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling7_1[16][9]

static

Initial value:

= {
  {  9,  5,  4, 10,  1,  2,  8,  3,  0 },
  { 11,  7,  6,  8,  3,  0, 10,  1,  2 },
  {  3,  0,  8,  5,  4,  9,  7,  6, 11 },
  {  8,  4,  7,  9,  0,  1, 11,  2,  3 },
  { 10,  6,  5, 11,  2,  3,  9,  0,  1 },
  {  0,  1,  9,  6,  5, 10,  4,  7,  8 },
  {  1,  2, 10,  7,  6, 11,  5,  4,  9 },
  {  2,  3, 11,  4,  7,  8,  6,  5, 10 },
  { 11,  3,  2,  8,  7,  4, 10,  5,  6 },
  { 10,  2,  1, 11,  6,  7,  9,  4,  5 },
  {  9,  1,  0, 10,  5,  6,  8,  7,  4 },
  {  5,  6, 10,  3,  2, 11,  1,  0,  9 },
  {  7,  4,  8,  1,  0,  9,  3,  2, 11 },
  {  8,  0,  3,  9,  4,  5, 11,  6,  7 },
  {  6,  7, 11,  0,  3,  8,  2,  1, 10 },
  {  4,  5,  9,  2,  1, 10,  0,  3,  8 }
}

tiling table for case 7.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling7_2[16][3][15]

static

tiling table for case 7.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling7_3[16][3][27]

static

tiling table for case 7.3 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling7_4_1[16][15]

static

Initial value:

= {
  {  3,  4,  8,  4,  3, 10,  2, 10,  3,  4, 10,  5,  9,  1,  0 },
  {  1,  6, 10,  6,  1,  8,  0,  8,  1,  6,  8,  7, 11,  3,  2 },
  { 11,  3,  6,  9,  6,  3,  6,  9,  5,  0,  9,  3,  7,  4,  8 },
  {  2,  7, 11,  7,  2,  9,  1,  9,  2,  7,  9,  4,  8,  0,  3 },
  {  0,  5,  9,  5,  0, 11,  3, 11,  0,  5, 11,  6, 10,  2,  1 },
  {  8,  0,  7, 10,  7,  0,  7, 10,  6,  1, 10,  0,  4,  5,  9 },
  {  9,  1,  4, 11,  4,  1,  4, 11,  7,  2, 11,  1,  5,  6, 10 },
  { 10,  2,  5,  8,  5,  2,  5,  8,  4,  3,  8,  2,  6,  7, 11 },
  {  5,  2, 10,  2,  5,  8,  4,  8,  5,  2,  8,  3, 11,  7,  6 },
  {  4,  1,  9,  1,  4, 11,  7, 11,  4,  1, 11,  2, 10,  6,  5 },
  {  7,  0,  8,  0,  7, 10,  6, 10,  7,  0, 10,  1,  9,  5,  4 },
  {  9,  5,  0, 11,  0,  5,  0, 11,  3,  6, 11,  5,  1,  2, 10 },
  { 11,  7,  2,  9,  2,  7,  2,  9,  1,  4,  9,  7,  3,  0,  8 },
  {  6,  3, 11,  3,  6,  9,  5,  9,  6,  3,  9,  0,  8,  4,  7 },
  { 10,  6,  1,  8,  1,  6,  1,  8,  0,  7,  8,  6,  2,  3, 11 },
  {  8,  4,  3, 10,  3,  4,  3, 10,  2,  5, 10,  4,  0,  1,  9 }
}

tiling table for case 7.4.1 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling7_4_2[16][27]

static

Initial value:

= {
  {   9,  4,  8,  4,  9,  5, 10,  5,  9,  1, 10,  9, 10,  1,  2,  0,  2,  1,  2,  0,  3,  8,  3,  0,  9,  8,  0 },
  {  11,  6, 10,  6, 11,  7,  8,  7, 11,  3,  8, 11,  8,  3,  0,  2,  0,  3,  0,  2,  1, 10,  1,  2, 11, 10,  2 },
  {  11,  3,  8,  0,  8,  3,  8,  0,  9,  8,  9,  4,  5,  4,  9,  4,  5,  7,  6,  7,  5,  7,  6, 11,  7, 11,  8 },
  {   8,  7, 11,  7,  8,  4,  9,  4,  8,  0,  9,  8,  9,  0,  1,  3,  1,  0,  1,  3,  2, 11,  2,  3,  8, 11,  3 },
  {  10,  5,  9,  5, 10,  6, 11,  6, 10,  2, 11, 10, 11,  2,  3,  1,  3,  2,  3,  1,  0,  9,  0,  1, 10,  9,  1 },
  {   8,  0,  9,  1,  9,  0,  9,  1, 10,  9, 10,  5,  6,  5, 10,  5,  6,  4,  7,  4,  6,  4,  7,  8,  4,  8,  9 },
  {   9,  1, 10,  2, 10,  1, 10,  2, 11, 10, 11,  6,  7,  6, 11,  6,  7,  5,  4,  5,  7,  5,  4,  9,  5,  9, 10 },
  {  10,  2, 11,  3, 11,  2, 11,  3,  8, 11,  8,  7,  4,  7,  8,  7,  4,  6,  5,  6,  4,  6,  5, 10,  6, 10, 11 },
  {  11,  2, 10,  2, 11,  3,  8,  3, 11,  7,  8, 11,  8,  7,  4,  6,  4,  7,  4,  6,  5, 10,  5,  6, 11, 10,  6 },
  {  10,  1,  9,  1, 10,  2, 11,  2, 10,  6, 11, 10, 11,  6,  7,  5,  7,  6,  7,  5,  4,  9,  4,  5, 10,  9,  5 },
  {   9,  0,  8,  0,  9,  1, 10,  1,  9,  5, 10,  9, 10,  5,  6,  4,  6,  5,  6,  4,  7,  8,  7,  4,  9,  8,  4 },
  {   9,  5, 10,  6, 10,  5, 10,  6, 11, 10, 11,  2,  3,  2, 11,  2,  3,  1,  0,  1,  3,  1,  0,  9,  1,  9, 10 },
  {  11,  7,  8,  4,  8,  7,  8,  4,  9,  8,  9,  0,  1,  0,  9,  0,  1,  3,  2,  3,  1,  3,  2, 11,  3, 11,  8 },
  {   8,  3, 11,  3,  8,  0,  9,  0,  8,  4,  9,  8,  9,  4,  5,  7,  5,  4,  5,  7,  6, 11,  6,  7,  8, 11,  7 },
  {  10,  6, 11,  7, 11,  6, 11,  7,  8, 11,  8,  3,  0,  3,  8,  3,  0,  2,  1,  2,  0,  2,  1, 10,  2, 10, 11 },
  {   8,  4,  9,  5,  9,  4,  9,  5, 10,  9, 10,  1,  2,  1, 10,  1,  2,  0,  3,  0,  2,  0,  3,  8,  0,  8,  9 }
}

tiling table for case 7.4.2 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling8[6][6]

static

Initial value:

= {
  { 9,  8, 10, 10,  8, 11 },
  { 1,  5,  3,  3,  5,  7 },
  { 0,  4,  2,  4,  6,  2 },
  { 0,  2,  4,  4,  2,  6 },
  { 1,  3,  5,  3,  7,  5 },
  { 9, 10,  8, 10, 11,  8 }
}

tiling table for case 8 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.

const char tiling9[8][12]

static

Initial value:

= {
  {  2, 10,  5,  3,  2,  5,  3,  5,  4,  3,  4,  8 },
  {  4,  7, 11,  9,  4, 11,  9, 11,  2,  9,  2,  1 },
  { 10,  7,  6,  1,  7, 10,  1,  8,  7,  1,  0,  8 },
  {  3,  6, 11,  0,  6,  3,  0,  5,  6,  0,  9,  5 },
  {  3, 11,  6,  0,  3,  6,  0,  6,  5,  0,  5,  9 },
  { 10,  6,  7,  1, 10,  7,  1,  7,  8,  1,  8,  0 },
  {  4, 11,  7,  9, 11,  4,  9,  2, 11,  9,  1,  2 },
  {  2,  5, 10,  3,  5,  2,  3,  4,  5,  3,  8,  4 }
}

tiling table for case 9 For each of the case above, the specific triangulation of the edge intersection points is given. When a case is ambiguous, there is an auxiliary table that contains the face number to test and the tiling table contains the specific triangulations depending on the results A minus sign means to invert the result of the test.