Acronym | tacu |
Name | tac-based ursapeton |
Circumradius | sqrt[3+sqrt(5)]/2 = 1.144123 |
Inradius wrt. hexpy | sqrt[1+sqrt(5)]/2 = 0.899454 |
Inradius wrt. tac | sqrt[1+sqrt(5)]/2 = 0.899454 |
Inradius wrt. rit | sqrt[sqrt(5)-1]/2 = 0.555893 |
Inradius wrt. penu | 1/2 = 0.5 |
Face vector | 60, 370, 760, 720, 314, 44 |
Confer |
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Incidence matrix according to Dynkin symbol
ofx3xoo3ooo3ooo4ooo&#xt → height(1,2) = sqrt[sqrt(5)-1]/2 = 0.555893 height(2,3) = sqrt[1+sqrt(5)]/2 = 0.899454 (rat || f-tac || tac) o..3o..3o..3o..4o.. | 40 * * | 12 2 0 0 | 6 24 1 12 0 | 12 16 6 24 0 | 8 2 12 16 0 | 1 8 2 0 .o.3.o.3.o.3.o.4.o. | * 10 * | 0 8 1 0 | 0 0 8 24 0 | 0 0 24 32 0 | 0 0 32 16 0 | 0 16 1 0 ..o3..o3..o3..o4..o | * * 10 | 0 0 1 8 | 0 0 8 0 24 | 0 0 24 0 32 | 0 0 32 0 16 | 0 16 0 1 ------------------------+----------+--------------+------------------+------------------+-----------------+---------- ... x.. ... ... ... | 2 0 0 | 240 * * * | 1 4 0 1 0 | 4 4 1 4 0 | 4 1 4 4 0 | 1 4 1 0 oo.3oo.3oo.3oo.4oo.&#x | 1 1 0 | * 80 * * | 0 0 1 6 0 | 0 0 6 12 0 | 0 0 12 8 0 | 0 8 1 0 .oo3.oo3.oo3.oo4.oo&#x | 0 1 1 | * * 10 * ♦ 0 0 8 0 0 | 0 0 24 0 0 | 0 0 32 0 0 | 0 16 0 0 ..x ... ... ... ... | 0 0 2 | * * * 40 | 0 0 1 0 6 | 0 0 6 0 12 | 0 0 12 0 8 | 0 8 0 1 ------------------------+----------+--------------+------------------+------------------+-----------------+---------- o..3x.. ... ... ... | 3 0 0 | 3 0 0 0 | 80 * * * * | 4 0 1 0 0 | 4 0 4 0 0 | 1 4 0 0 ... x..3o.. ... ... | 3 0 0 | 3 0 0 0 | * 320 * * * | 1 2 0 1 0 | 2 1 1 2 0 | 1 2 1 0 ofx ... ... ... ...&#xt | 1 2 2 | 0 2 2 1 | * * 40 * * ♦ 0 0 6 0 0 | 0 0 12 0 0 | 0 8 0 0 ... xo. ... ... ...&#x | 2 1 0 | 1 2 0 0 | * * * 240 * | 0 0 1 4 0 | 0 0 4 4 0 | 0 4 1 0 ..x3..o ... ... ... | 0 0 3 | 0 0 0 3 | * * * * 80 | 0 0 1 0 4 | 0 0 4 0 4 | 0 4 0 1 ------------------------+----------+--------------+------------------+------------------+-----------------+---------- o..3x..3o.. ... ... ♦ 6 0 0 | 12 0 0 0 | 4 4 0 0 0 | 80 * * * * | 2 0 1 0 0 | 1 2 0 0 ... x..3o..3o.. ... ♦ 4 0 0 | 6 0 0 0 | 0 4 0 0 0 | * 160 * * * | 1 1 0 1 0 | 1 1 1 0 ofx3xoo ... ... ...&#xt ♦ 3 3 3 | 3 6 3 3 | 1 0 3 3 1 | * * 80 * * | 0 0 4 0 0 | 0 4 0 0 ... xo.3oo. ... ...&#x ♦ 3 1 0 | 3 3 0 0 | 0 1 0 3 0 | * * * 320 * | 0 0 1 2 0 | 0 2 1 0 ..x3..o3..o ... ... ♦ 0 0 4 | 0 0 0 6 | 0 0 0 0 4 | * * * * 80 | 0 0 1 0 2 | 0 2 0 1 ------------------------+----------+--------------+------------------+------------------+-----------------+---------- o..3x..3o..3o.. ... ♦ 10 0 0 | 30 0 0 0 | 10 20 0 0 0 | 5 5 0 0 0 | 32 * * * * | 1 1 0 0 ... x..3o..3o..4o.. ♦ 8 0 0 | 24 0 0 0 | 0 32 0 0 0 | 0 16 0 0 0 | * 10 * * * | 1 0 1 0 ofx3xoo3ooo ... ...&#xt ♦ 6 4 4 | 12 12 4 6 | 4 4 6 12 4 | 1 0 4 4 1 | * * 80 * * | 0 2 0 0 ... xo.3oo.3oo. ...&#x ♦ 4 1 0 | 6 4 0 0 | 0 4 0 6 0 | 0 1 0 4 0 | * * * 160 * | 0 1 1 0 ..x3..o3..o3..o ... ♦ 0 0 5 | 0 0 0 10 | 0 0 0 0 10 | 0 0 0 0 5 | * * * * 32 | 0 1 0 1 ------------------------+----------+--------------+------------------+------------------+-----------------+---------- o..3x..3o..3o..4o.. ♦ 40 0 0 | 240 0 0 0 | 80 320 0 0 0 | 80 160 0 0 0 | 32 10 0 0 0 | 1 * * * ofx3xoo3ooo3ooo ...&#xt ♦ 10 5 5 | 30 20 5 10 | 10 20 10 30 10 | 5 5 10 20 5 | 1 0 5 5 1 | * 32 * * ... xo.3oo.3oo.4oo.&#x ♦ 8 1 0 | 24 8 0 0 | 0 32 0 24 0 | 0 16 0 32 0 | 0 1 0 16 0 | * * 10 * ..x3..o3..o3..o4..o ♦ 0 0 10 | 0 0 0 40 | 0 0 0 0 80 | 0 0 0 0 80 | 0 0 0 0 32 | * * * 1
ofx3xoo3ooo3ooo *c3ooo&#xt → height(1,2) = sqrt[sqrt(5)-1]/2 = 0.555893 height(2,3) = sqrt[1+sqrt(5)]/2 = 0.899454 (rat || f-tac || tac) o..3o..3o..3o.. *c3o.. | 40 * * | 12 2 0 0 | 6 24 1 12 0 | 12 8 8 6 24 0 | 4 4 2 12 8 8 0 0 | 1 4 4 2 0 .o.3.o.3.o.3.o. *c3.o. | * 10 * | 0 8 1 0 | 0 0 8 24 0 | 0 0 0 24 32 0 | 0 0 0 32 8 8 0 0 | 0 8 8 1 0 ..o3..o3..o3..o *c3..o | * * 10 | 0 0 1 8 | 0 0 8 0 24 | 0 0 0 24 0 32 | 0 0 0 32 0 0 8 8 | 0 8 8 0 1 ---------------------------+----------+--------------+------------------+--------------------+-------------------------+------------- ... x.. ... ... ... | 2 0 0 | 240 * * * | 1 4 0 1 0 | 4 2 2 1 4 0 | 2 2 1 4 2 2 0 0 | 1 2 2 1 0 oo.3oo.3oo.3oo. *c3oo.&#x | 1 1 0 | * 80 * * | 0 0 1 6 0 | 0 0 0 6 12 0 | 0 0 0 12 4 4 0 0 | 0 4 4 1 0 .oo3.oo3.oo3.oo *c3.oo&#x | 0 1 1 | * * 10 * ♦ 0 0 8 0 0 | 0 0 0 24 0 0 | 0 0 0 32 0 0 0 0 | 0 8 8 0 0 ..x ... ... ... ... | 0 0 2 | * * * 40 | 0 0 1 0 6 | 0 0 0 6 0 12 | 0 0 0 12 0 0 4 4 | 0 4 4 0 1 ---------------------------+----------+--------------+------------------+--------------------+-------------------------+------------- o..3x.. ... ... ... | 3 0 0 | 3 0 0 0 | 80 * * * * | 4 0 0 1 0 0 | 2 2 0 4 0 0 0 0 | 1 2 2 0 0 ... x..3o.. ... ... | 3 0 0 | 3 0 0 0 | * 320 * * * | 1 1 1 0 1 0 | 1 1 1 1 1 1 0 0 | 1 1 1 1 0 ofx ... ... ... ...&#xt | 1 2 2 | 0 2 2 1 | * * 40 * * ♦ 0 0 0 6 0 0 | 0 0 0 12 0 0 0 0 | 0 4 4 0 0 ... xo. ... ... ...&#x | 2 1 0 | 1 2 0 0 | * * * 240 * | 0 0 0 1 4 0 | 0 0 0 4 2 2 0 0 | 0 2 2 1 0 ..x3..o.... ... ... | 0 0 3 | 0 0 0 3 | * * * * 80 | 0 0 0 1 0 4 | 0 0 0 4 0 0 2 2 | 0 2 2 0 1 ---------------------------+----------+--------------+------------------+--------------------+-------------------------+------------- o..3x..3o.. ... ... ♦ 6 0 0 | 12 0 0 0 | 4 4 0 0 0 | 80 * * * * * | 1 1 0 1 0 0 0 0 | 1 1 1 0 0 ... x..3o..3o.. ... ♦ 4 0 0 | 6 0 0 0 | 0 4 0 0 0 | * 80 * * * * | 1 0 1 0 1 0 0 0 | 1 1 0 1 0 ... x..3o.. ... *c3o.. ♦ 4 0 0 | 6 0 0 0 | 0 4 0 0 0 | * * 80 * * * | 0 1 1 0 0 1 0 0 | 1 0 1 1 0 ofx3xoo ... ... ...&#xt ♦ 3 3 3 | 3 6 3 3 | 1 0 3 3 1 | * * * 80 * * | 0 0 0 4 0 0 0 0 | 0 2 2 0 0 ... xo.3oo. ... ...&#x ♦ 3 1 0 | 3 3 0 0 | 0 1 0 3 0 | * * * * 320 * | 0 0 0 1 1 1 0 0 | 0 1 1 1 0 ..x3..o3..o ... ... ♦ 0 0 4 | 0 0 0 6 | 0 0 0 0 4 | * * * * * 80 | 0 0 0 1 0 0 1 1 | 0 1 1 0 1 ---------------------------+----------+--------------+------------------+--------------------+-------------------------+------------- o..3x..3o..3o.. ... ♦ 10 0 0 | 30 0 0 0 | 10 20 0 0 0 | 5 5 0 0 0 0 | 16 * * * * * * * | 1 1 0 0 0 o..3x..3o.. ... *c3o.. ♦ 10 0 0 | 30 0 0 0 | 10 20 0 0 0 | 5 0 5 0 0 0 | * 16 * * * * * * | 1 0 1 0 0 ... x..3o..3o.. *c3o.. ♦ 8 0 0 | 24 0 0 0 | 0 32 0 0 0 | 0 8 8 0 0 0 | * * 10 * * * * * | 1 0 0 1 0 ofx3xoo3ooo ... ...&#xt ♦ 6 4 4 | 12 12 4 6 | 4 4 6 12 4 | 1 0 0 4 4 1 | * * * 80 * * * * | 0 1 1 0 0 ... xo.3oo.3oo. ...&#x ♦ 4 1 0 | 6 4 0 0 | 0 4 0 6 0 | 0 1 0 0 4 0 | * * * * 80 * * * | 0 1 0 1 0 ... xo.3oo. ... *c3oo.&#x ♦ 4 1 0 | 6 4 0 0 | 0 4 0 6 0 | 0 0 1 0 4 0 | * * * * * 80 * * | 0 0 1 1 0 ..x3..o3..o3..o ... ♦ 0 0 5 | 0 0 0 10 | 0 0 0 0 10 | 0 0 0 0 0 5 | * * * * * * 16 * | 0 1 0 0 1 ..x3..o3..o ... *c3..o ♦ 0 0 5 | 0 0 0 10 | 0 0 0 0 10 | 0 0 0 0 0 5 | * * * * * * * 16 | 0 0 1 0 1 ---------------------------+----------+--------------+------------------+--------------------+-------------------------+------------- o..3x..3o..3o.. *c3o.. ♦ 40 0 0 | 240 0 0 0 | 80 320 0 0 0 | 80 80 80 0 0 0 | 16 16 10 0 0 0 0 0 | 1 * * * * ofx3xoo3ooo3ooo ...&#xt ♦ 10 5 5 | 30 20 5 10 | 10 20 10 30 10 | 5 5 0 10 20 5 | 1 0 0 5 5 0 1 0 | * 16 * * * ofx3xoo3ooo ... *c3ooo&#xt ♦ 10 5 5 | 30 20 5 10 | 10 20 10 30 10 | 5 0 5 10 20 5 | 0 1 0 5 0 5 0 1 | * * 16 * * ... xo.3oo.3oo. *c3oo.&#x ♦ 8 1 0 | 24 8 0 0 | 0 32 0 24 0 | 0 8 8 0 32 0 | 0 0 1 0 8 8 0 0 | * * * 10 * ..x3..o3..o3..o *c3..o ♦ 0 0 10 | 0 0 0 40 | 0 0 0 0 80 | 0 0 0 0 0 80 | 0 0 0 0 0 0 16 16 | * * * * 1
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