| Acronym | toegippid |
| Name | truncated-octahedron - great-prismated-decachoron duoprism |
| Circumradius | sqrt(15/2) = 2.738613 |
| Face vector | 2880, 10080, 13920, 9600, 3444, 606, 44 |
| Confer |
|
Incidence matrix according to Dynkin symbol
x3x3x x3x3x3x . . . . . . . | 2880 | 2 1 2 2 | 2 1 4 4 2 2 2 2 1 1 | 1 4 4 2 2 4 4 2 2 2 2 1 1 2 2 | 2 2 4 4 2 2 2 2 1 1 4 4 2 2 1 | 2 2 1 1 4 4 2 2 2 1 | 2 2 2 1 ----------------+------+---------------------+----------------------------------------------+--------------------------------------------------------------+------------------------------------------------------------+---------------------------------+---------- x . . . . . . & | 2 | 2880 * * * | 1 1 2 2 0 0 0 0 0 0 | 1 2 2 2 2 2 2 1 1 0 0 0 0 0 0 | 2 2 2 2 1 1 2 2 1 1 2 2 0 0 0 | 2 2 1 1 2 2 2 2 1 0 | 2 2 1 1 . x . . . . . | 2 | * 1440 * * | 2 0 0 0 2 2 0 0 0 0 | 1 4 4 0 0 0 0 0 0 2 2 1 1 0 0 | 2 2 4 4 2 2 0 0 0 0 0 0 2 2 0 | 2 2 1 1 4 4 0 0 0 1 | 2 2 2 0 . . . x . . . & | 2 | * * 2880 * | 0 0 2 0 1 0 1 1 1 0 | 0 2 0 1 0 2 2 2 0 1 1 1 0 1 2 | 1 0 2 2 2 0 1 1 1 0 2 4 1 2 1 | 1 1 1 0 2 4 1 2 2 1 | 1 2 2 1 . . . . x . . & | 2 | * * * 2880 | 0 0 0 2 0 1 1 1 0 1 | 0 0 2 0 1 2 2 0 2 1 1 0 1 2 1 | 0 1 2 2 0 2 1 1 0 1 4 2 2 1 1 | 1 1 0 1 4 2 2 1 2 1 | 2 1 2 1 ----------------+------+---------------------+----------------------------------------------+--------------------------------------------------------------+------------------------------------------------------------+---------------------------------+---------- x3x . . . . . & | 6 | 3 3 0 0 | 960 * * * * * * * * * | 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 | 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 | 2 2 1 1 2 2 0 0 0 0 | 2 2 1 0 x . x . . . . | 4 | 4 0 0 0 | * 720 * * * * * * * * | 1 0 0 2 2 0 0 0 0 0 0 0 0 0 0 | 2 2 0 0 0 0 2 2 1 1 0 0 0 0 0 | 2 2 1 1 0 0 2 2 0 0 | 2 2 0 1 x . . x . . . & | 4 | 2 0 2 0 | * * 2880 * * * * * * * | 0 1 0 1 0 1 1 1 0 0 0 0 0 0 0 | 1 0 1 1 1 0 1 1 1 0 1 2 0 0 0 | 1 1 1 0 1 2 1 2 1 0 | 1 2 1 1 x . . . x . . & | 4 | 2 0 0 2 | * * * 2880 * * * * * * | 0 0 1 0 1 1 1 0 1 0 0 0 0 0 0 | 0 1 1 1 0 1 1 1 0 1 2 1 0 0 0 | 1 1 0 1 2 1 2 1 1 0 | 2 1 1 1 . x . x . . . & | 4 | 0 2 2 0 | * * * * 1440 * * * * * | 0 2 0 0 0 0 0 0 0 1 1 1 0 0 0 | 1 0 2 2 2 0 0 0 0 0 0 0 1 2 0 | 1 1 1 0 2 4 0 0 0 1 | 1 2 2 0 . x . . x . . & | 4 | 0 2 0 2 | * * * * * 1440 * * * * | 0 0 2 0 0 0 0 0 0 1 1 0 1 0 0 | 0 1 2 2 0 2 0 0 0 0 0 0 2 1 0 | 1 1 0 1 4 2 0 0 0 1 | 2 1 2 0 . . . x3x . . & | 6 | 0 0 3 3 | * * * * * * 960 * * * | 0 0 0 0 0 2 0 0 0 1 0 0 0 1 1 | 0 0 2 0 0 0 1 0 0 0 2 2 1 1 1 | 1 0 0 0 2 2 1 1 2 1 | 1 1 2 1 . . . x . x . & | 4 | 0 0 2 2 | * * * * * * * 1440 * * | 0 0 0 0 0 0 2 0 0 0 1 0 0 1 1 | 0 0 0 2 0 0 0 1 0 0 2 2 1 1 1 | 0 1 0 0 2 2 1 1 2 1 | 1 1 2 1 . . . x . . x | 4 | 0 0 4 0 | * * * * * * * * 720 * | 0 0 0 0 0 0 0 2 0 0 0 1 0 0 2 | 0 0 0 0 2 0 0 0 1 0 0 4 0 2 1 | 0 0 1 0 0 4 0 2 2 1 | 0 2 2 1 . . . . x3x . | 6 | 0 0 0 6 | * * * * * * * * * 480 | 0 0 0 0 0 0 0 0 2 0 0 0 1 2 0 | 0 0 0 0 0 2 0 0 0 1 4 0 2 0 1 | 0 0 0 1 4 0 2 0 2 1 | 2 0 2 1 ----------------+------+---------------------+----------------------------------------------+--------------------------------------------------------------+------------------------------------------------------------+---------------------------------+---------- x3x3x . . . . ♦ 24 | 24 12 0 0 | 8 6 0 0 0 0 0 0 0 0 | 120 * * * * * * * * * * * * * * | 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 2 1 1 0 0 0 0 0 0 | 2 2 0 0 x3x . x . . . & ♦ 12 | 6 6 6 0 | 2 0 3 0 3 0 0 0 0 0 | * 960 * * * * * * * * * * * * * | 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 1 2 0 0 0 0 | 1 2 1 0 x3x . . x . . & ♦ 12 | 6 6 0 6 | 2 0 0 3 0 3 0 0 0 0 | * * 960 * * * * * * * * * * * * | 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 | 1 1 0 1 2 1 0 0 0 0 | 2 1 1 0 x . x x . . . & ♦ 8 | 8 0 4 0 | 0 2 4 0 0 0 0 0 0 0 | * * * 720 * * * * * * * * * * * | 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0 0 1 2 0 0 | 1 2 0 1 x . x . x . . & ♦ 8 | 8 0 0 4 | 0 2 0 4 0 0 0 0 0 0 | * * * * 720 * * * * * * * * * * | 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 | 1 1 0 1 0 0 2 1 0 0 | 2 1 0 1 x . . x3x . . & ♦ 12 | 6 0 6 6 | 0 0 3 3 0 0 2 0 0 0 | * * * * * 960 * * * * * * * * * | 0 0 1 0 0 0 1 0 0 0 1 1 0 0 0 | 1 0 0 0 1 1 1 1 1 0 | 1 1 1 1 x . . x . x . & ♦ 8 | 4 0 4 4 | 0 0 2 2 0 0 0 2 0 0 | * * * * * * 1440 * * * * * * * * | 0 0 0 1 0 0 0 1 0 0 1 1 0 0 0 | 0 1 0 0 1 1 1 1 1 0 | 1 1 1 1 x . . x . . x & ♦ 8 | 4 0 8 0 | 0 0 4 0 0 0 0 0 2 0 | * * * * * * * 720 * * * * * * * | 0 0 0 0 1 0 0 0 1 0 0 2 0 0 0 | 0 0 1 0 0 2 0 2 1 0 | 0 2 1 1 x . . . x3x . & ♦ 12 | 6 0 0 12 | 0 0 0 6 0 0 0 0 0 2 | * * * * * * * * 480 * * * * * * | 0 0 0 0 0 1 0 0 0 1 2 0 0 0 0 | 0 0 0 1 2 0 2 0 1 0 | 2 0 1 1 . x . x3x . . & ♦ 12 | 0 6 6 6 | 0 0 0 0 3 3 2 0 0 0 | * * * * * * * * * 480 * * * * * | 0 0 2 0 0 0 0 0 0 0 0 0 1 1 0 | 1 0 0 0 2 2 0 0 0 1 | 1 1 2 0 . x . x . x . & ♦ 8 | 0 4 4 4 | 0 0 0 0 2 2 0 2 0 0 | * * * * * * * * * * 720 * * * * | 0 0 0 2 0 0 0 0 0 0 0 0 1 1 0 | 0 1 0 0 2 2 0 0 0 1 | 1 1 2 0 . x . x . . x ♦ 8 | 0 4 8 0 | 0 0 0 0 4 0 0 0 2 0 | * * * * * * * * * * * 360 * * * | 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 | 0 0 1 0 0 4 0 0 0 1 | 0 2 2 0 . x . . x3x . ♦ 12 | 0 6 0 12 | 0 0 0 0 0 6 0 0 0 2 | * * * * * * * * * * * * 240 * * | 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 | 0 0 0 1 4 0 0 0 0 1 | 2 0 2 0 . . . x3x3x . & ♦ 24 | 0 0 12 24 | 0 0 0 0 0 0 4 6 0 4 | * * * * * * * * * * * * * 240 * | 0 0 0 0 0 0 0 0 0 0 2 0 1 0 1 | 0 0 0 0 2 0 1 0 2 1 | 1 0 2 1 . . . x3x . x & ♦ 12 | 0 0 12 6 | 0 0 0 0 0 0 2 3 3 0 | * * * * * * * * * * * * * * 480 | 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 | 0 0 0 0 0 2 0 1 2 1 | 0 1 2 1 ----------------+------+---------------------+----------------------------------------------+--------------------------------------------------------------+------------------------------------------------------------+---------------------------------+---------- x3x3x x . . . & ♦ 48 | 48 24 24 0 | 16 12 24 0 12 0 0 0 0 0 | 2 8 0 6 0 0 0 0 0 0 0 0 0 0 0 | 120 * * * * * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 2 0 0 x3x3x . x . . & ♦ 48 | 48 24 0 24 | 16 12 0 24 0 12 0 0 0 0 | 2 0 8 0 6 0 0 0 0 0 0 0 0 0 0 | * 120 * * * * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 | 2 1 0 0 x3x . x3x . . & ♦ 36 | 18 18 18 18 | 6 0 9 9 9 9 6 0 0 0 | 0 3 3 0 0 3 0 0 0 3 0 0 0 0 0 | * * 320 * * * * * * * * * * * * | 1 0 0 0 1 1 0 0 0 0 | 1 1 1 0 x3x . x . x . & ♦ 24 | 12 12 12 12 | 4 0 6 6 6 6 0 6 0 0 | 0 2 2 0 0 0 3 0 0 0 3 0 0 0 0 | * * * 480 * * * * * * * * * * * | 0 1 0 0 1 1 0 0 0 0 | 1 1 1 0 x3x . x . . x & ♦ 24 | 12 12 24 0 | 4 0 12 0 12 0 0 0 6 0 | 0 4 0 0 0 0 0 3 0 0 0 3 0 0 0 | * * * * 240 * * * * * * * * * * | 0 0 1 0 0 2 0 0 0 0 | 0 2 1 0 x3x . . x3x . & ♦ 36 | 18 18 0 36 | 6 0 0 18 0 18 0 0 0 6 | 0 0 6 0 0 0 0 0 3 0 0 0 3 0 0 | * * * * * 160 * * * * * * * * * | 0 0 0 1 2 0 0 0 0 0 | 2 0 1 0 x . x x3x . . & ♦ 24 | 24 0 12 12 | 0 6 12 12 0 0 4 0 0 0 | 0 0 0 3 3 4 0 0 0 0 0 0 0 0 0 | * * * * * * 240 * * * * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 1 x . x x . x . & ♦ 16 | 16 0 8 8 | 0 4 8 8 0 0 0 4 0 0 | 0 0 0 2 2 0 4 0 0 0 0 0 0 0 0 | * * * * * * * 360 * * * * * * * | 0 1 0 0 0 0 1 1 0 0 | 1 1 0 1 x . x x . . x ♦ 16 | 16 0 16 0 | 0 4 16 0 0 0 0 0 4 0 | 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 | * * * * * * * * 180 * * * * * * | 0 0 1 0 0 0 0 2 0 0 | 0 2 0 1 x . x . x3x . ♦ 24 | 24 0 0 24 | 0 6 0 24 0 0 0 0 0 4 | 0 0 0 0 6 0 0 0 4 0 0 0 0 0 0 | * * * * * * * * * 120 * * * * * | 0 0 0 1 0 0 2 0 0 0 | 2 0 0 1 x . . x3x3x . & ♦ 48 | 24 0 24 48 | 0 0 12 24 0 0 8 12 0 8 | 0 0 0 0 0 4 6 0 4 0 0 0 0 2 0 | * * * * * * * * * * 240 * * * * | 0 0 0 0 1 0 1 0 1 0 | 1 0 1 1 x . . x3x . x & ♦ 24 | 12 0 24 12 | 0 0 12 6 0 0 4 6 6 0 | 0 0 0 0 0 2 3 3 0 0 0 0 0 0 2 | * * * * * * * * * * * 480 * * * | 0 0 0 0 0 1 0 1 1 0 | 0 1 1 1 . x . x3x3x . & ♦ 48 | 0 24 24 48 | 0 0 0 0 12 24 8 12 0 8 | 0 0 0 0 0 0 0 0 0 4 6 0 4 2 0 | * * * * * * * * * * * * 120 * * | 0 0 0 0 2 0 0 0 0 1 | 1 0 2 0 . x . x3x . x & ♦ 24 | 0 12 24 12 | 0 0 0 0 12 6 4 6 6 0 | 0 0 0 0 0 0 0 0 0 2 3 3 0 0 2 | * * * * * * * * * * * * * 240 * | 0 0 0 0 0 2 0 0 0 1 | 0 1 2 0 . . . x3x3x3x ♦ 120 | 0 0 120 120 | 0 0 0 0 0 0 40 60 30 20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 10 20 | * * * * * * * * * * * * * * 24 | 0 0 0 0 0 0 0 0 2 1 | 0 0 2 1 ----------------+------+---------------------+----------------------------------------------+--------------------------------------------------------------+------------------------------------------------------------+---------------------------------+---------- x3x3x x3x . . & ♦ 144 | 144 72 72 72 | 48 36 72 72 36 36 24 0 0 0 | 6 24 24 18 18 24 0 0 0 12 0 0 0 0 0 | 3 3 8 0 0 0 6 0 0 0 0 0 0 0 0 | 40 * * * * * * * * * | 1 1 0 0 x3x3x x . x . & ♦ 96 | 96 48 48 48 | 32 24 48 48 24 24 0 24 0 0 | 4 16 16 12 12 0 24 0 0 0 12 0 0 0 0 | 2 2 0 8 0 0 0 6 0 0 0 0 0 0 0 | * 60 * * * * * * * * | 1 1 0 0 x3x3x x . . x ♦ 96 | 96 48 96 0 | 32 24 96 0 48 0 0 0 24 0 | 4 32 0 24 0 0 0 24 0 0 0 12 0 0 0 | 4 0 0 0 8 0 0 0 6 0 0 0 0 0 0 | * * 30 * * * * * * * | 0 2 0 0 x3x3x . x3x . ♦ 144 | 144 72 0 144 | 48 36 0 144 0 72 0 0 0 24 | 6 0 48 0 36 0 0 0 24 0 0 0 12 0 0 | 0 6 0 0 0 8 0 0 0 6 0 0 0 0 0 | * * * 20 * * * * * * | 2 0 0 0 x3x . x3x3x . & ♦ 144 | 72 72 72 144 | 24 0 36 72 36 72 24 36 0 24 | 0 12 24 0 0 12 18 0 12 12 18 0 12 6 0 | 0 0 4 6 0 4 0 0 0 0 3 0 3 0 0 | * * * * 80 * * * * * | 1 0 1 0 x3x . x3x . x & ♦ 72 | 36 36 72 36 | 12 0 36 18 36 18 12 18 18 0 | 0 12 6 0 0 6 9 9 0 6 9 9 0 0 6 | 0 0 2 3 3 0 0 0 0 0 0 3 0 3 0 | * * * * * 160 * * * * | 0 1 1 0 x . x x3x3x . & ♦ 96 | 96 0 48 96 | 0 24 48 96 0 0 16 24 0 16 | 0 0 0 12 24 16 24 0 16 0 0 0 0 4 0 | 0 0 0 0 0 0 4 6 0 4 4 0 0 0 0 | * * * * * * 60 * * * | 1 0 0 1 x . x x3x . x & ♦ 48 | 48 0 48 24 | 0 12 48 24 0 0 8 12 12 0 | 0 0 0 12 6 8 12 12 0 0 0 0 0 0 4 | 0 0 0 0 0 0 2 3 3 0 0 4 0 0 0 | * * * * * * * 120 * * | 0 1 0 1 x . . x3x3x3x & ♦ 240 | 120 0 240 240 | 0 0 120 120 0 0 80 120 60 40 | 0 0 0 0 0 40 60 30 20 0 0 0 0 20 40 | 0 0 0 0 0 0 0 0 0 0 10 20 0 0 2 | * * * * * * * * 24 * | 0 0 1 1 . x . x3x3x3x ♦ 240 | 0 120 240 240 | 0 0 0 0 120 120 80 120 60 40 | 0 0 0 0 0 0 0 0 0 40 60 30 20 20 40 | 0 0 0 0 0 0 0 0 0 0 0 0 10 20 2 | * * * * * * * * * 12 | 0 0 2 0 ----------------+------+---------------------+----------------------------------------------+--------------------------------------------------------------+------------------------------------------------------------+---------------------------------+---------- x3x3x x3x3x . & ♦ 576 | 576 288 288 576 | 192 144 288 576 144 288 96 144 0 96 | 24 96 192 72 144 96 144 0 96 48 72 0 48 24 0 | 12 24 32 48 0 32 24 36 0 24 24 0 12 0 0 | 4 6 0 4 8 0 6 0 0 0 | 10 * * * x3x3x x3x . x & ♦ 288 | 288 144 288 144 | 96 72 288 144 144 72 48 72 72 0 | 12 96 48 72 36 48 72 72 0 24 36 36 0 0 24 | 12 6 16 24 24 0 12 18 18 0 0 24 0 12 0 | 2 3 3 0 0 8 0 6 0 0 | * 20 * * x3x . x3x3x3x & ♦ 720 | 360 360 720 720 | 120 0 360 360 360 360 240 360 180 120 | 0 120 120 0 0 120 180 90 60 120 180 90 60 60 120 | 0 0 40 60 30 20 0 0 0 0 30 60 30 60 6 | 0 0 0 0 10 20 0 0 3 3 | * * 8 * x . x x3x3x3x ♦ 480 | 480 0 480 480 | 0 120 480 480 0 0 160 240 120 80 | 0 0 0 120 120 160 240 120 80 0 0 0 0 40 80 | 0 0 0 0 0 0 40 60 30 20 40 80 0 0 4 | 0 0 0 0 0 0 10 20 4 0 | * * * 6
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