Acronym | ... |
Name | expanded augmented axially-octahedral ursachoron ofx3xoo4xxx&#xt |
Face vector | 80, 216, 196, 60 |
Confer |
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Incidence matrix according to Dynkin symbol
ofxo3xooo4xxxx&#xt → height(1,2) = sqrt[sqrt(5)-1]/2 = 0.555893 height(2,3) = sqrt[1+sqrt(5)]/2 = 0.899454 height(3,4) = 1/sqrt(2) = 0.707107 (tic || pseudo (f,x)-sirco || pseudo sirco || cube) o...3o...4o... | 24 * * * | 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..4.o.. | * 24 * * | 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.4..o. | * * 24 * | 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...o4...o | * * * 8 | 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 | 24 * * * * * * * * | 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 | * 12 * * * * * * * | 0 2 0 0 2 0 0 0 0 0 0 0 0 | 1 0 1 2 0 0 0 0 0 oo..3oo..4oo..&#x | 1 1 0 0 | * * 48 * * * * * * | 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 | * * * 24 * * * * * | 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.4.oo.&#x | 0 1 1 0 | * * * * 24 * * * * | 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 | * * * * * 24 * * * | 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 | * * * * * * 24 * * | 0 0 0 0 0 0 1 0 1 1 0 1 0 | 0 0 1 0 1 0 1 1 0 ..oo3..oo4..oo&#x | 0 0 1 1 | * * * * * * * 24 * | 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 | * * * * * * * * 12 | 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 | 8 * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 .... x...4x... | 8 0 0 0 | 4 4 0 0 0 0 0 0 0 | * 6 * * * * * * * * * * * | 1 0 0 1 0 0 0 0 0 ofx. .... ....&#xt | 1 2 2 0 | 0 0 2 0 2 1 0 0 0 | * * 24 * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 .... xo.. ....&#x | 2 1 0 0 | 1 0 2 0 0 0 0 0 0 | * * * 24 * * * * * * * * * | 0 1 0 1 0 0 0 0 0 .... .... xx..&#x | 2 2 0 0 | 0 1 2 1 0 0 0 0 0 | * * * * 24 * * * * * * * * | 0 0 1 1 0 0 0 0 0 .... .o..4.x.. | 0 4 0 0 | 0 0 0 4 0 0 0 0 0 | * * * * * 6 * * * * * * * | 0 0 0 1 1 0 0 0 0 .... .... .xx.&#x | 0 2 2 0 | 0 0 0 1 2 0 1 0 0 | * * * * * * 24 * * * * * * | 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 | * * * * * * * 8 * * * * * | 0 1 0 0 0 1 0 0 0 ..x. .... ..x. | 0 0 4 0 | 0 0 0 0 0 2 2 0 0 | * * * * * * * * 12 * * * * | 0 0 1 0 0 0 1 0 0 .... ..o.4..x. | 0 0 4 0 | 0 0 0 0 0 0 4 0 0 | * * * * * * * * * 6 * * * | 0 0 0 0 1 0 0 1 0 ..xo .... ....&#x | 0 0 2 1 | 0 0 0 0 0 1 0 2 0 | * * * * * * * * * * 24 * * | 0 0 0 0 0 1 1 0 0 .... .... ..xx&#x | 0 0 2 2 | 0 0 0 0 0 0 1 2 1 | * * * * * * * * * * * 24 * | 0 0 0 0 0 0 1 1 0 .... ...o4...x | 0 0 0 4 | 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * * * 6 | 0 0 0 0 0 0 0 1 1 -------------------+------------+----------------------------+----------------------------------+-------------------- o...3x...4x... ♦ 24 0 0 0 | 24 12 0 0 0 0 0 0 0 | 8 6 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 | * 8 * * * * * * * 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 | * * 12 * * * * * * .... xo..4xx..&#x ♦ 8 4 0 0 | 4 4 8 4 0 0 0 0 0 | 0 1 0 4 4 1 0 0 0 0 0 0 0 | * * * 6 * * * * * .... .oo.4.xx.&#x ♦ 0 4 4 0 | 0 0 0 4 4 0 4 0 0 | 0 0 0 0 0 1 4 0 0 1 0 0 0 | * * * * 6 * * * * ..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 | * * * * * 8 * * * ..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 | * * * * * * 12 * * .... ..oo4..xx&#x ♦ 0 0 4 4 | 0 0 0 0 0 0 4 4 4 | 0 0 0 0 0 0 0 0 0 1 0 4 1 | * * * * * * * 6 * ...o3...o4...x ♦ 0 0 0 8 | 0 0 0 0 0 0 0 0 12 | 0 0 0 0 0 0 0 0 0 0 0 0 6 | * * * * * * * * 1
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