Acronym | sritaprohu |
Name | (srit,proh)-based ursateron |
Circumradius | sqrt[(19+8 sqrt(2)+7 sqrt(5)+4 sqrt(10))/8] = 2.706827 |
Face vector | 384, 1344, 1504, 624, 82 |
Confer |
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Incidence matrix according to Dynkin symbol
xoo3ofx3xoo4xxx&#xt → height(1,2) = sqrt[sqrt(5)-2] = 0.485868 height(2,3) = sqrt[(sqrt(5)-1)/2] = 0.786151 (proh || (f,x)-srit || srit) o..3o..3o..4o.. | 192 * * | 2 2 1 2 0 0 0 0 | 1 2 2 1 2 2 1 2 2 0 0 0 0 0 0 | 1 1 2 1 1 2 2 1 1 2 0 0 0 0 | 1 1 1 2 1 0 .o.3.o.3.o.4.o. | * 96 * | 0 0 0 4 2 1 0 0 | 0 0 0 0 0 2 4 2 4 1 2 0 0 0 0 | 0 0 0 0 2 1 2 2 4 2 1 0 0 0 | 0 1 2 1 2 0 ..o3..o3..o4..o | * * 96 | 0 0 0 0 0 1 4 2 | 0 0 0 0 0 0 4 0 0 0 2 2 2 4 1 | 0 0 0 0 2 0 0 2 4 0 1 1 2 2 | 0 1 2 0 2 1 --------------------+-----------+-----------------------------+--------------------------------------------------+-----------------------------------------+--------------- x.. ... ... ... | 2 0 0 | 192 * * * * * * * | 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 1 1 0 0 0 0 0 0 0 0 | 1 1 1 1 0 0 ... ... x.. ... | 2 0 0 | * 192 * * * * * * | 0 1 0 1 1 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 1 0 1 0 1 0 0 0 0 | 1 1 0 1 1 0 ... ... ... x.. | 2 0 0 | * * 96 * * * * * | 0 0 2 0 2 0 0 0 2 0 0 0 0 0 0 | 0 1 2 1 0 0 2 0 1 2 0 0 0 0 | 1 0 1 2 1 0 oo.3oo.3oo.4oo.&#x | 1 1 0 | * * * 384 * * * * | 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 | 0 0 0 0 1 1 1 1 1 1 0 0 0 0 | 0 1 1 1 1 0 ... ... ... .x. | 0 2 0 | * * * * 96 * * * | 0 0 0 0 0 0 0 0 2 1 1 0 0 0 0 | 0 0 0 0 0 0 1 0 2 2 1 0 0 0 | 0 0 1 1 2 0 .oo3.oo3.oo4.oo&#x | 0 1 1 | * * * * * 96 * * | 0 0 0 0 0 0 4 0 0 0 2 0 0 0 0 | 0 0 0 0 2 0 0 2 4 0 1 0 0 0 | 0 1 2 0 2 0 ... ..x ... ... | 0 0 2 | * * * * * * 192 * | 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 | 0 0 0 0 1 0 0 1 1 0 0 1 1 1 | 0 1 1 0 1 1 ... ... ... ..x | 0 0 2 | * * * * * * * 96 | 0 0 0 0 0 0 0 0 0 0 1 0 0 2 1 | 0 0 0 0 0 0 0 0 2 0 1 0 1 2 | 0 0 1 0 2 1 --------------------+-----------+-----------------------------+--------------------------------------------------+-----------------------------------------+--------------- x..3o.. ... ... | 3 0 0 | 3 0 0 0 0 0 0 0 | 64 * * * * * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 x.. ... x.. ... | 4 0 0 | 2 2 0 0 0 0 0 0 | * 96 * * * * * * * * * * * * * | 1 0 1 0 0 1 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0 x.. ... ... x.. | 4 0 0 | 2 0 2 0 0 0 0 0 | * * 96 * * * * * * * * * * * * | 0 1 1 0 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0 ... o..3x.. ... | 3 0 0 | 0 3 0 0 0 0 0 0 | * * * 64 * * * * * * * * * * * | 1 0 0 1 0 0 0 1 0 0 0 0 0 0 | 1 1 0 0 1 0 ... ... x..4x.. | 8 0 0 | 0 4 4 0 0 0 0 0 | * * * * 48 * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 1 0 0 0 0 | 1 0 0 1 1 0 xo. ... ... ...&#x | 2 1 0 | 1 0 0 2 0 0 0 0 | * * * * * 192 * * * * * * * * * | 0 0 0 0 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0 ... ofx ... ...&#xt | 1 2 2 | 0 0 0 2 0 2 1 0 | * * * * * * 192 * * * * * * * * | 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 1 1 0 1 0 ... ... xo. ...&#x | 2 1 0 | 0 1 0 2 0 0 0 0 | * * * * * * * 192 * * * * * * * | 0 0 0 0 0 1 0 1 0 1 0 0 0 0 | 0 1 0 1 1 0 ... ... ... xx.&#x | 2 2 0 | 0 0 1 2 1 0 0 0 | * * * * * * * * 192 * * * * * * | 0 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 1 1 0 ... ... .o.4.x. | 0 4 0 | 0 0 0 0 4 0 0 0 | * * * * * * * * * 24 * * * * * | 0 0 0 0 0 0 0 0 0 2 1 0 0 0 | 0 0 0 1 2 0 ... ... ... .xx&#x | 0 2 2 | 0 0 0 0 1 2 0 1 | * * * * * * * * * * 96 * * * * | 0 0 0 0 0 0 0 0 2 0 1 0 0 0 | 0 0 1 0 2 0 ..o3..x ... ... | 0 0 3 | 0 0 0 0 0 0 3 0 | * * * * * * * * * * * 64 * * * | 0 0 0 0 1 0 0 0 0 0 0 1 1 0 | 0 1 1 0 0 1 ... ..x3..o ... | 0 0 3 | 0 0 0 0 0 0 3 0 | * * * * * * * * * * * * 64 * * | 0 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 1 0 0 1 1 ... ..x ... ..x | 0 0 4 | 0 0 0 0 0 0 2 2 | * * * * * * * * * * * * * 96 * | 0 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 1 0 1 1 ... ... ..o4..x | 0 0 4 | 0 0 0 0 0 0 0 4 | * * * * * * * * * * * * * * 24 | 0 0 0 0 0 0 0 0 0 0 1 0 0 2 | 0 0 0 0 2 1 --------------------+-----------+-----------------------------+--------------------------------------------------+-----------------------------------------+--------------- x..3o..3x.. ... ♦ 12 0 0 | 12 12 0 0 0 0 0 0 | 4 6 0 4 0 0 0 0 0 0 0 0 0 0 0 | 16 * * * * * * * * * * * * * | 1 1 0 0 0 0 x..3o.. ... x.. ♦ 6 0 0 | 6 0 3 0 0 0 0 0 | 2 0 3 0 0 0 0 0 0 0 0 0 0 0 0 | * 32 * * * * * * * * * * * * | 1 0 1 0 0 0 x.. ... x..4x.. ♦ 16 0 0 | 8 8 8 0 0 0 0 0 | 0 4 4 0 2 0 0 0 0 0 0 0 0 0 0 | * * 24 * * * * * * * * * * * | 1 0 0 1 0 0 ... o..3x..4x.. ♦ 24 0 0 | 0 24 12 0 0 0 0 0 | 0 0 0 8 6 0 0 0 0 0 0 0 0 0 0 | * * * 8 * * * * * * * * * * | 1 0 0 0 1 0 xoo3ofx ... ...&#xt ♦ 3 3 3 | 3 0 0 6 0 3 3 0 | 1 0 0 0 0 3 3 0 0 0 0 1 0 0 0 | * * * * 64 * * * * * * * * * | 0 1 1 0 0 0 xo. ... xo. ...&#x ♦ 4 1 0 | 2 2 0 4 0 0 0 0 | 0 1 0 0 0 2 0 2 0 0 0 0 0 0 0 | * * * * * 96 * * * * * * * * | 0 1 0 1 0 0 xo. ... ... xx.&#x ♦ 4 2 0 | 2 0 2 4 1 0 0 0 | 0 0 1 0 0 2 0 0 2 0 0 0 0 0 0 | * * * * * * 96 * * * * * * * | 0 0 1 1 0 0 ... ofx3xoo ...&#xt ♦ 3 3 3 | 0 3 0 6 0 3 3 0 | 0 0 0 1 0 0 3 3 0 0 0 0 1 0 0 | * * * * * * * 64 * * * * * * | 0 1 0 0 1 0 ... ofx ... xxx&#xt ♦ 2 4 4 | 0 0 1 4 2 4 2 2 | 0 0 0 0 0 0 2 0 2 0 2 0 0 1 0 | * * * * * * * * 96 * * * * * | 0 0 1 0 1 0 ... ... xo.4xx.&#x ♦ 8 4 0 | 0 4 4 8 4 0 0 0 | 0 0 0 0 1 0 0 4 4 1 0 0 0 0 0 | * * * * * * * * * 48 * * * * | 0 0 0 1 1 0 ... ... .oo4.xx&#x ♦ 0 4 4 | 0 0 0 0 4 4 0 4 | 0 0 0 0 0 0 0 0 0 1 4 0 0 0 1 | * * * * * * * * * * 24 * * * | 0 0 0 0 2 0 ..o3..x3..o ... ♦ 0 0 6 | 0 0 0 0 0 0 12 0 | 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 | * * * * * * * * * * * 16 * * | 0 1 0 0 0 1 ..o3..x ... ..x ♦ 0 0 6 | 0 0 0 0 0 0 6 3 | 0 0 0 0 0 0 0 0 0 0 0 2 0 3 0 | * * * * * * * * * * * * 32 * | 0 0 1 0 0 1 ... ..x3..o4..x ♦ 0 0 24 | 0 0 0 0 0 0 24 24 | 0 0 0 0 0 0 0 0 0 0 0 0 8 12 6 | * * * * * * * * * * * * * 8 | 0 0 0 0 1 1 --------------------+-----------+-----------------------------+--------------------------------------------------+-----------------------------------------+--------------- x..3o..3x..4..x ♦ 192 0 0 | 192 192 96 0 0 0 0 0 | 64 96 96 64 48 0 0 0 0 0 0 0 0 0 0 | 16 32 24 8 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * xoo3ofx3xoo ...&#xt ♦ 12 6 6 | 12 12 0 24 0 6 12 0 | 4 6 0 4 0 12 12 12 0 0 0 4 4 0 0 | 1 0 0 0 4 6 0 4 0 0 0 1 0 0 | * 16 * * * * xoo3ofx ... xxx&#xt ♦ 6 6 6 | 6 0 3 12 3 6 6 3 | 2 0 3 0 0 6 6 0 6 0 3 2 0 3 0 | 0 1 0 0 2 0 3 0 3 0 0 0 1 0 | * * 32 * * * xo. ... xo.4xx.&#x ♦ 16 4 0 | 8 8 8 16 4 0 0 0 | 0 4 4 0 2 8 0 8 8 1 0 0 0 0 0 | 0 0 1 0 0 4 4 0 0 2 0 0 0 0 | * * * 24 * * ... ofx3xoo4xxx&#xt ♦ 24 24 24 | 0 24 12 48 24 24 24 24 | 0 0 0 8 6 0 24 24 24 6 24 0 8 12 6 | 0 0 0 1 0 0 0 8 12 6 6 0 0 1 | * * * * 8 * ..o3..x3..o4..x ♦ 0 0 96 | 0 0 0 0 0 0 192 96 | 0 0 0 0 0 0 0 0 0 0 0 64 64 96 24 | 0 0 0 0 0 0 0 0 0 0 0 16 32 8 | * * * * * 1
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