cantitruncated hexateron
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- general polytopal classes:
- Wythoffian polytera lace simplices
links
| Acronym | garx |
| Name |
great rhombated hexateron, cantitruncated hexateron |
| Field of sections |
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| Circumradius | 2 |
| Vertex figure |
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| Face vector | 120, 300, 290, 135, 27 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3x3x3o3o . . . . . | 120 | 1 1 3 | 1 3 3 3 | 3 3 3 1 | 3 1 1 ----------+-----+-----------+--------------+-------------+------- x . . . . | 2 | 60 * * | 1 3 0 0 | 3 3 0 0 | 3 1 0 . x . . . | 2 | * 60 * | 1 0 3 0 | 3 0 3 0 | 3 0 1 . . x . . | 2 | * * 180 | 0 1 1 2 | 1 2 2 1 | 2 1 1 ----------+-----+-----------+--------------+-------------+------- x3x . . . | 6 | 3 3 0 | 20 * * * | 3 0 0 0 | 3 0 0 x . x . . | 4 | 2 0 2 | * 90 * * | 1 2 0 0 | 2 1 0 . x3x . . | 6 | 0 3 3 | * * 60 * | 1 0 2 0 | 2 0 1 . . x3o . | 3 | 0 0 3 | * * * 120 | 0 1 1 1 | 1 1 1 ----------+-----+-----------+--------------+-------------+------- x3x3x . . ♦ 24 | 12 12 12 | 4 6 4 0 | 15 * * * | 2 0 0 x . x3o . ♦ 6 | 3 0 6 | 0 3 0 2 | * 60 * * | 1 1 0 . x3x3o . ♦ 12 | 0 6 12 | 0 0 4 4 | * * 30 * | 1 0 1 . . x3o3o ♦ 4 | 0 0 6 | 0 0 0 4 | * * * 30 | 0 1 1 ----------+-----+-----------+--------------+-------------+------- x3x3x3o . ♦ 60 | 30 30 60 | 10 30 20 20 | 5 10 5 0 | 6 * * x . x3o3o ♦ 8 | 4 0 12 | 0 6 0 8 | 0 4 0 2 | * 15 * . x3x3o3o ♦ 20 | 0 10 30 | 0 0 10 20 | 0 0 5 5 | * * 6
x3x3x3o3/2o . . . . . | 120 | 1 1 3 | 1 3 3 3 | 3 3 3 1 | 3 1 1 ------------+-----+-----------+--------------+-------------+------- x . . . . | 2 | 60 * * | 1 3 0 0 | 3 3 0 0 | 3 1 0 . x . . . | 2 | * 60 * | 1 0 3 0 | 3 0 3 0 | 3 0 1 . . x . . | 2 | * * 180 | 0 1 1 2 | 1 2 2 1 | 2 1 1 ------------+-----+-----------+--------------+-------------+------- x3x . . . | 6 | 3 3 0 | 20 * * * | 3 0 0 0 | 3 0 0 x . x . . | 4 | 2 0 2 | * 90 * * | 1 2 0 0 | 2 1 0 . x3x . . | 6 | 0 3 3 | * * 60 * | 1 0 2 0 | 2 0 1 . . x3o . | 3 | 0 0 3 | * * * 120 | 0 1 1 1 | 1 1 1 ------------+-----+-----------+--------------+-------------+------- x3x3x . . ♦ 24 | 12 12 12 | 4 6 4 0 | 15 * * * | 2 0 0 x . x3o . ♦ 6 | 3 0 6 | 0 3 0 2 | * 60 * * | 1 1 0 . x3x3o . ♦ 12 | 0 6 12 | 0 0 4 4 | * * 30 * | 1 0 1 . . x3o3/2o ♦ 4 | 0 0 6 | 0 0 0 4 | * * * 30 | 0 1 1 ------------+-----+-----------+--------------+-------------+------- x3x3x3o . ♦ 60 | 30 30 60 | 10 30 20 20 | 5 10 5 0 | 6 * * x . x3o3/2o ♦ 8 | 4 0 12 | 0 6 0 8 | 0 4 0 2 | * 15 * . x3x3o3/2o ♦ 20 | 0 10 30 | 0 0 10 20 | 0 0 5 5 | * * 6
xuxx3xxux3ooox3oooo&#xt → all heights = sqrt(3/5) = 0.774597 (tip || pseudo (u,x)-tip || pseudo (x,u)-tip || grip) o...3o...3o...3o... | 20 * * * | 1 3 1 0 0 0 0 0 0 0 | 3 3 3 1 0 0 0 0 0 0 0 0 | 3 1 3 3 0 0 0 0 0 0 0 | 1 1 3 0 0 0 .o..3.o..3.o..3.o.. | * 20 * * | 0 0 1 3 1 0 0 0 0 0 | 0 0 3 1 3 3 0 0 0 0 0 0 | 0 0 3 3 1 3 0 0 0 0 0 | 0 1 3 1 0 0 ..o.3..o.3..o.3..o. | * * 20 * | 0 0 0 0 1 1 3 0 0 0 | 0 0 0 1 0 3 3 3 0 0 0 0 | 0 0 0 3 0 3 3 1 0 0 0 | 0 0 3 1 1 0 ...o3...o3...o3...o | * * * 60 | 0 0 0 0 0 0 1 1 1 2 | 0 0 0 0 0 1 1 2 1 2 2 1 | 0 0 0 1 0 2 2 1 2 1 1 | 0 0 2 1 1 1 ------------------------+-------------+-------------------------------+-------------------------------------+-----------------------------+------------- x... .... .... .... | 2 0 0 0 | 10 * * * * * * * * * | 3 0 0 1 0 0 0 0 0 0 0 0 | 3 0 0 3 0 0 0 0 0 0 0 | 1 0 3 0 0 0 .... x... .... .... | 2 0 0 0 | * 30 * * * * * * * * | 1 2 1 0 0 0 0 0 0 0 0 0 | 2 1 2 1 0 0 0 0 0 0 0 | 1 1 2 0 0 0 oo..3oo..3oo..3oo..&#x | 1 1 0 0 | * * 20 * * * * * * * | 0 0 3 1 0 0 0 0 0 0 0 0 | 0 0 3 3 0 0 0 0 0 0 0 | 0 1 3 0 0 0 .... .x.. .... .... | 0 2 0 0 | * * * 30 * * * * * * | 0 0 1 0 2 1 0 0 0 0 0 0 | 0 0 2 1 1 3 0 0 0 0 0 | 0 1 2 1 0 0 .oo.3.oo.3.oo.3.oo.&#x | 0 1 1 0 | * * * * 20 * * * * * | 0 0 0 1 0 3 0 0 0 0 0 0 | 0 0 0 3 0 3 0 0 0 0 0 | 0 0 3 1 0 0 ..x. .... .... .... | 0 0 2 0 | * * * * * 10 * * * * | 0 0 0 1 0 0 3 0 0 0 0 0 | 0 0 0 3 0 0 3 0 0 0 0 | 0 0 3 0 1 0 ..oo3..oo3..oo3..oo&#x | 0 0 1 1 | * * * * * * 60 * * * | 0 0 0 0 0 1 1 2 0 0 0 0 | 0 0 0 1 0 2 2 1 0 0 0 | 0 0 2 1 1 0 ...x .... .... .... | 0 0 0 2 | * * * * * * * 30 * * | 0 0 0 0 0 0 1 0 1 2 0 0 | 0 0 0 1 0 0 2 0 2 1 0 | 0 0 2 0 1 1 .... ...x .... .... | 0 0 0 2 | * * * * * * * * 30 * | 0 0 0 0 0 1 0 0 1 0 2 0 | 0 0 0 1 0 2 0 0 2 0 1 | 0 0 2 1 0 1 .... .... ...x .... | 0 0 0 2 | * * * * * * * * * 60 | 0 0 0 0 0 0 0 1 0 1 1 1 | 0 0 0 0 0 1 1 1 1 1 1 | 0 0 1 1 1 1 ------------------------+-------------+-------------------------------+-------------------------------------+-----------------------------+------------- x...3x... .... .... | 6 0 0 0 | 3 3 0 0 0 0 0 0 0 0 | 10 * * * * * * * * * * * | 2 0 0 1 0 0 0 0 0 0 0 | 1 0 2 0 0 0 .... x...3o... .... | 3 0 0 0 | 0 3 0 0 0 0 0 0 0 0 | * 20 * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 .... xx.. .... ....&#x | 2 2 0 0 | 0 1 2 1 0 0 0 0 0 0 | * * 30 * * * * * * * * * | 0 0 2 1 0 0 0 0 0 0 0 | 0 1 2 0 0 0 xux. .... .... ....&#xt | 2 2 2 0 | 1 0 2 0 2 1 0 0 0 0 | * * * 10 * * * * * * * * | 0 0 0 3 0 0 0 0 0 0 0 | 0 0 3 0 0 0 .... .x..3.o.. .... | 0 3 0 0 | 0 0 0 3 0 0 0 0 0 0 | * * * * 20 * * * * * * * | 0 0 1 0 1 1 0 0 0 0 0 | 0 1 1 1 0 0 .... .xux .... ....&#xt | 0 2 2 2 | 0 0 0 1 2 0 2 0 1 0 | * * * * * 30 * * * * * * | 0 0 0 1 0 2 0 0 0 0 0 | 0 0 2 1 0 0 ..xx .... .... ....&#x | 0 0 2 2 | 0 0 0 0 0 1 2 1 0 0 | * * * * * * 30 * * * * * | 0 0 0 1 0 0 2 0 0 0 0 | 0 0 2 0 1 0 .... .... ..ox ....&#x | 0 0 1 2 | 0 0 0 0 0 0 2 0 0 1 | * * * * * * * 60 * * * * | 0 0 0 0 0 1 1 1 0 0 0 | 0 0 1 1 1 0 ...x3...x .... .... | 0 0 0 6 | 0 0 0 0 0 0 0 3 3 0 | * * * * * * * * 10 * * * | 0 0 0 1 0 0 0 0 2 0 0 | 0 0 2 0 0 1 ...x .... ...x .... | 0 0 0 4 | 0 0 0 0 0 0 0 2 0 2 | * * * * * * * * * 30 * * | 0 0 0 0 0 0 1 0 1 1 0 | 0 0 1 0 1 1 .... ...x3...x .... | 0 0 0 6 | 0 0 0 0 0 0 0 0 3 3 | * * * * * * * * * * 20 * | 0 0 0 0 0 1 0 0 1 0 1 | 0 0 1 1 0 1 .... .... ...x3...o | 0 0 0 3 | 0 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * 20 | 0 0 0 0 0 0 0 1 0 1 1 | 0 0 0 1 1 1 ------------------------+-------------+-------------------------------+-------------------------------------+-----------------------------+------------- x...3x...3o... .... ♦ 12 0 0 0 | 6 12 0 0 0 0 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 0 0 | 5 * * * * * * * * * * | 1 0 1 0 0 0 .... x...3o...3o... ♦ 4 0 0 0 | 0 6 0 0 0 0 0 0 0 0 | 0 4 0 0 0 0 0 0 0 0 0 0 | * 5 * * * * * * * * * | 1 1 0 0 0 0 .... xx..3oo.. ....&#x ♦ 3 3 0 0 | 0 3 3 3 0 0 0 0 0 0 | 0 1 3 0 1 0 0 0 0 0 0 0 | * * 20 * * * * * * * * | 0 1 1 0 0 0 xuxx3xxux .... ....&#xt ♦ 6 6 6 6 | 3 3 6 3 6 3 6 3 3 0 | 1 0 3 3 0 3 3 0 1 0 0 0 | * * * 10 * * * * * * * | 0 0 2 0 0 0 .... .x..3.o..3.o.. ♦ 0 4 0 0 | 0 0 0 6 0 0 0 0 0 0 | 0 0 0 0 4 0 0 0 0 0 0 0 | * * * * 5 * * * * * * | 0 1 0 1 0 0 .... .xux3.oox ....&#xt ♦ 0 3 3 6 | 0 0 0 3 3 0 6 0 3 3 | 0 0 0 0 1 3 0 3 0 0 1 0 | * * * * * 20 * * * * * | 0 0 1 1 0 0 ..xx .... ..ox ....&#x ♦ 0 0 2 4 | 0 0 0 0 0 1 4 2 0 2 | 0 0 0 0 0 0 2 2 0 1 0 0 | * * * * * * 30 * * * * | 0 0 1 0 1 0 .... .... ..ox3..oo&#x ♦ 0 0 1 3 | 0 0 0 0 0 0 3 0 0 3 | 0 0 0 0 0 0 0 3 0 0 0 1 | * * * * * * * 20 * * * | 0 0 0 1 1 0 ...x3...x3...x .... ♦ 0 0 0 24 | 0 0 0 0 0 0 0 12 12 12 | 0 0 0 0 0 0 0 0 4 6 4 0 | * * * * * * * * 5 * * | 0 0 1 0 0 1 ...x .... ...x3...o ♦ 0 0 0 6 | 0 0 0 0 0 0 0 3 0 6 | 0 0 0 0 0 0 0 0 0 3 0 2 | * * * * * * * * * 10 * | 0 0 0 0 1 1 .... ...x3...x3...o ♦ 0 0 0 12 | 0 0 0 0 0 0 0 0 6 12 | 0 0 0 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * 5 | 0 0 0 1 0 1 ------------------------+-------------+-------------------------------+-------------------------------------+-----------------------------+------------- x...3x...3o...3o... ♦ 20 0 0 0 | 10 30 0 0 0 0 0 0 0 0 | 10 20 0 0 0 0 0 0 0 0 0 0 | 5 5 0 0 0 0 0 0 0 0 0 | 1 * * * * * .... xx..3oo..3oo..&#x ♦ 4 4 0 0 | 0 6 4 6 0 0 0 0 0 0 | 0 4 6 0 4 0 0 0 0 0 0 0 | 0 1 4 0 1 0 0 0 0 0 0 | * 5 * * * * xuxx3xxux3ooox ....&#xt ♦ 12 12 12 24 | 6 12 12 12 12 6 24 12 12 12 | 4 4 12 6 4 12 12 12 4 6 4 0 | 1 0 4 4 0 4 6 0 1 0 0 | * * 5 * * * .... .xux3.oox3.ooo&#xt ♦ 0 4 4 12 | 0 0 0 6 4 0 12 0 6 12 | 0 0 0 0 4 6 0 12 0 0 4 4 | 0 0 0 0 1 4 0 4 0 0 1 | * * * 5 * * ..xx .... ..ox3..oo&#x ♦ 0 0 2 6 | 0 0 0 0 0 1 6 3 0 6 | 0 0 0 0 0 0 3 6 0 3 0 2 | 0 0 0 0 0 0 3 2 0 1 0 | * * * * 10 * ...x3...x3...x3...o ♦ 0 0 0 60 | 0 0 0 0 0 0 0 30 30 60 | 0 0 0 0 0 0 0 0 10 30 20 20 | 0 0 0 0 0 0 0 0 5 10 5 | * * * * * 1
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