Acronym | ... |
Name | expanded augmented axially-tetrahedral ursachoron ofxo3xooo3xxxx&#xt |
Face vector | 40, 108, 102, 34 |
Confer |
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Incidence matrix according to Dynkin symbol
ofxo3xooo3xxxx&#xt → height(1,2) = sqrt[3+sqrt(5)]/4 = 0.572061 height(2,3) = sqrt[7+3 sqrt(5)]/4 = 0.925615 height(3,4) = sqrt(5/8) = 0.790569 (tut || pseudo (f,x)-co || pseudo co || tet) o...3o...3o... | 12 * * * | 2 1 2 0 0 0 0 0 0 | 1 2 1 2 2 0 0 0 0 0 0 0 0 | 1 1 1 2 0 0 0 0 0 .o..3.o..3.o.. | * 12 * * | 0 0 2 2 1 0 0 0 0 | 0 0 2 1 2 1 2 0 0 0 0 0 0 | 0 1 2 1 1 0 0 0 0 ..o.3..o.3..o. | * * 12 * | 0 0 0 0 1 2 2 1 0 | 0 0 2 0 0 0 2 1 2 1 2 2 0 | 0 1 2 0 1 1 2 1 0 ...o3...o3...o | * * * 4 | 0 0 0 0 0 0 0 3 3 | 0 0 0 0 0 0 0 0 0 0 3 6 3 | 0 0 0 0 0 1 3 3 1 -------------------+------------+--------------------------+---------------------------------+------------------ .... x... .... | 2 0 0 0 | 12 * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0 0 0 0 .... .... x... | 2 0 0 0 | * 6 * * * * * * * | 0 2 0 0 2 0 0 0 0 0 0 0 0 | 1 0 1 2 0 0 0 0 0 oo..3oo..3oo..&#x | 1 1 0 0 | * * 24 * * * * * * | 0 0 1 1 1 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0 0 0 .... .... .x.. | 0 2 0 0 | * * * 12 * * * * * | 0 0 0 0 1 1 1 0 0 0 0 0 0 | 0 0 1 1 1 0 0 0 0 .oo.3.oo.3.oo.&#x | 0 1 1 0 | * * * * 12 * * * * | 0 0 2 0 0 0 2 0 0 0 0 0 0 | 0 1 2 0 1 0 0 0 0 ..x. .... .... | 0 0 2 0 | * * * * * 12 * * * | 0 0 1 0 0 0 0 1 1 0 1 0 0 | 0 1 1 0 0 1 1 0 0 .... .... ..x. | 0 0 2 0 | * * * * * * 12 * * | 0 0 0 0 0 0 1 0 1 1 0 1 0 | 0 0 1 0 1 0 1 1 0 ..oo3..oo3..oo&#x | 0 0 1 1 | * * * * * * * 12 * | 0 0 0 0 0 0 0 0 0 0 2 2 0 | 0 0 0 0 0 1 2 1 0 .... .... ...x | 0 0 0 2 | * * * * * * * * 6 | 0 0 0 0 0 0 0 0 0 0 0 2 2 | 0 0 0 0 0 0 1 2 1 -------------------+------------+--------------------------+---------------------------------+------------------ o...3x... .... | 3 0 0 0 | 3 0 0 0 0 0 0 0 0 | 4 * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 .... x...3x... | 6 0 0 0 | 3 3 0 0 0 0 0 0 0 | * 4 * * * * * * * * * * * | 1 0 0 1 0 0 0 0 0 ofx. .... ....&#xt | 1 2 2 0 | 0 0 2 0 2 1 0 0 0 | * * 12 * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 .... xo.. ....&#x | 2 1 0 0 | 1 0 2 0 0 0 0 0 0 | * * * 12 * * * * * * * * * | 0 1 0 1 0 0 0 0 0 .... .... xx..&#x | 2 2 0 0 | 0 1 2 1 0 0 0 0 0 | * * * * 12 * * * * * * * * | 0 0 1 1 0 0 0 0 0 .... .o..3.x.. | 0 3 0 0 | 0 0 0 3 0 0 0 0 0 | * * * * * 4 * * * * * * * | 0 0 0 1 1 0 0 0 0 .... .... .xx.&#x | 0 2 2 0 | 0 0 0 1 2 0 1 0 0 | * * * * * * 12 * * * * * * | 0 0 1 0 1 0 0 0 0 ..x.3..o. .... | 0 0 3 0 | 0 0 0 0 0 3 0 0 0 | * * * * * * * 4 * * * * * | 0 1 0 0 0 1 0 0 0 ..x. .... ..x. | 0 0 4 0 | 0 0 0 0 0 2 2 0 0 | * * * * * * * * 6 * * * * | 0 0 1 0 0 0 1 0 0 .... ..o.3..x. | 0 0 3 0 | 0 0 0 0 0 0 3 0 0 | * * * * * * * * * 4 * * * | 0 0 0 0 1 0 0 1 0 ..xo .... ....&#x | 0 0 2 1 | 0 0 0 0 0 1 0 2 0 | * * * * * * * * * * 12 * * | 0 0 0 0 0 1 1 0 0 .... .... ..xx&#x | 0 0 2 2 | 0 0 0 0 0 0 1 2 1 | * * * * * * * * * * * 12 * | 0 0 0 0 0 0 1 1 0 .... ...o3...x | 0 0 0 3 | 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * 4 | 0 0 0 0 0 0 0 1 1 -------------------+------------+--------------------------+---------------------------------+------------------ o...3x...3x... ♦ 12 0 0 0 | 12 6 0 0 0 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * ofx.3xoo. ....&#xt ♦ 3 3 3 0 | 3 0 6 0 3 3 0 0 0 | 1 0 3 3 0 0 0 1 0 0 0 0 0 | * 4 * * * * * * * ofx. .... xxx.&#xt ♦ 2 4 4 0 | 0 1 4 2 4 2 2 0 0 | 0 0 2 0 2 0 2 0 1 0 0 0 0 | * * 6 * * * * * * .... xo..3xx..&#x ♦ 6 3 0 0 | 3 3 6 3 0 0 0 0 0 | 0 1 0 3 3 1 0 0 0 0 0 0 0 | * * * 4 * * * * * .... .oo.3.xx.&#x ♦ 0 3 3 0 | 0 0 0 3 3 0 3 0 0 | 0 0 0 0 0 1 3 0 0 1 0 0 0 | * * * * 4 * * * * ..xo3..oo ....&#x ♦ 0 0 3 1 | 0 0 0 0 0 3 0 3 0 | 0 0 0 0 0 0 0 1 0 0 3 0 0 | * * * * * 4 * * * ..xo .... ..xx&#x ♦ 0 0 4 2 | 0 0 0 0 0 2 2 4 1 | 0 0 0 0 0 0 0 0 1 0 2 2 0 | * * * * * * 6 * * .... ..oo3..xx&#x ♦ 0 0 3 3 | 0 0 0 0 0 0 3 3 3 | 0 0 0 0 0 0 0 0 0 1 0 3 1 | * * * * * * * 4 * ...o3...o3...x ♦ 0 0 0 4 | 0 0 0 0 0 0 0 0 6 | 0 0 0 0 0 0 0 0 0 0 0 0 4 | * * * * * * * * 1
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