Acronym | hexu |
Name |
hexadecachoron-based ursateron, hex-based ursulate, vertex figure of s3s4o3o3o4o |
Circumradius | sqrt[3+sqrt(5)]/2 = 1.144123 |
Inradius wrt. hex | sqrt[1+sqrt(5)]/2 = 0.899454 |
Inradius wrt. octpy | sqrt[1+sqrt(5)]/2 = 0.899454 |
Inradius wrt. ico | sqrt[sqrt(5)-1]/2 = 0.555893 |
Inradius wrt. tetu | sqrt[sqrt(5)-1]/2 = 0.555893 |
Face vector | 40, 176, 248, 136, 26 |
Confer |
|
Incidence matrix according to Dynkin symbol
ofx3xoo3ooo4ooo&#xt → height(1,2) = sqrt[sqrt(5)-1]/2 = 0.555893 height(2,3) = sqrt[1+sqrt(5)]/2 = 0.899454 (ico || pseudo f-hex || hex) o..3o..3o..4o.. | 24 * * | 8 2 0 0 | 4 8 1 8 0 | 4 2 4 8 0 | 1 4 2 0 .o.3.o.3.o.4.o. | * 8 * | 0 6 1 0 | 0 0 6 12 0 | 0 0 12 8 0 | 0 8 1 0 ..o3..o3..o4..o | * * 8 | 0 0 1 6 | 0 0 6 0 12 | 0 0 12 0 8 | 0 8 0 1 --------------------+--------+------------+----------------+---------------+--------- ... x.. ... ... | 2 0 0 | 96 * * * | 1 2 0 1 0 | 2 1 1 2 0 | 1 2 1 0 oo.3oo.3oo.4oo.&#x | 1 1 0 | * 48 * * | 0 0 1 4 0 | 0 0 4 4 0 | 0 4 1 0 .oo3.oo3.oo4.oo&#x | 0 1 1 | * * 8 * ♦ 0 0 6 0 0 | 0 0 12 0 0 | 0 8 0 0 ..x ... ... ... | 0 0 2 | * * * 24 | 0 0 1 0 4 | 0 0 4 0 4 | 0 4 0 1 --------------------+--------+------------+----------------+---------------+--------- o..3x.. ... ... | 3 0 0 | 3 0 0 0 | 32 * * * * | 2 0 1 0 0 | 1 2 0 0 ... x..3o.. ... | 3 0 0 | 3 0 0 0 | * 64 * * * | 1 1 0 1 0 | 1 1 1 0 ofx ... ... ...&#xt | 1 2 2 | 0 2 2 1 | * * 24 * * | 0 0 4 0 0 | 0 4 0 0 ... xo. ... ...&#x | 2 1 0 | 1 2 0 0 | * * * 96 * | 0 0 1 2 0 | 0 2 1 0 ..x3..o ... ... | 0 0 3 | 0 0 0 3 | * * * * 32 | 0 0 1 0 2 | 0 2 0 1 --------------------+--------+------------+----------------+---------------+--------- o..3x..3o.. ... ♦ 6 0 0 | 12 0 0 0 | 4 4 0 0 0 | 16 * * * * | 1 1 0 0 ... x..3o..4o.. ♦ 6 0 0 | 12 0 0 0 | 0 8 0 0 0 | * 8 * * * | 1 0 1 0 ofx3xoo ... ...&#xt ♦ 3 3 3 | 3 6 3 3 | 1 0 3 3 1 | * * 32 * * | 0 2 0 0 ... xo.3oo. ...&#x ♦ 3 1 0 | 3 3 0 0 | 0 1 0 3 0 | * * * 64 * | 0 1 1 0 ..x3..o3..o ... ♦ 0 0 4 | 0 0 0 6 | 0 0 0 0 4 | * * * * 16 | 0 1 0 1 --------------------+--------+------------+----------------+---------------+--------- o..3x..3o..4o.. ♦ 24 0 0 | 96 0 0 0 | 32 64 0 0 0 | 16 8 0 0 0 | 1 * * * ofx3xoo3ooo ...&#xt ♦ 6 4 4 | 12 12 4 6 | 4 4 6 12 4 | 1 0 4 4 1 | * 16 * * ... xo.3oo.4oo.&#x ♦ 6 1 0 | 12 6 0 0 | 0 8 0 12 0 | 0 1 0 8 0 | * * 8 * ..x3..o3..o4..o ♦ 0 0 8 | 0 0 0 24 | 0 0 0 0 32 | 0 0 0 0 16 | * * * 1
ofx3xoo3ooo *b3ooo&#xt → height(1,2) = sqrt[sqrt(5)-1]/2 = 0.555893 height(2,3) = sqrt[1+sqrt(5)]/2 = 0.899454 (ico || pseudo f-hex || hex) o..3o..3o.. *b3o.. | 24 * * | 8 2 0 0 | 4 4 4 1 8 0 | 2 2 2 4 4 4 0 0 | 1 2 2 2 0 .o.3.o.3.o. *b3.o. | * 8 * | 0 6 1 0 | 0 0 0 6 12 0 | 0 0 0 12 4 4 0 0 | 0 4 4 1 0 ..o3..o3..o *b3..o | * * 8 | 0 0 1 6 | 0 0 0 6 0 12 | 0 0 0 12 0 0 4 4 | 0 4 4 0 1 -----------------------+--------+------------+-------------------+--------------------+---------- ... x.. ... ... | 2 0 0 | 96 * * * | 1 1 1 0 1 0 | 1 1 1 1 1 1 0 0 | 1 1 1 1 0 oo.3oo.3oo. *b3oo.&#x | 1 1 0 | * 48 * * | 0 0 0 1 4 0 | 0 0 0 4 2 2 0 0 | 0 2 2 1 0 .oo3.oo3.oo *b3.oo&#x | 0 1 1 | * * 8 * ♦ 0 0 0 6 0 0 | 0 0 0 12 0 0 0 0 | 0 4 4 0 0 ..x ... ... ... | 0 0 2 | * * * 24 | 0 0 0 1 0 4 | 0 0 0 4 0 0 2 2 | 0 2 2 0 1 -----------------------+--------+------------+-------------------+--------------------+---------- o..3x.. ... ... | 3 0 0 | 3 0 0 0 | 32 * * * * * | 1 1 0 1 0 0 0 0 | 1 1 1 0 0 ... x..3o.. ... | 3 0 0 | 3 0 0 0 | * 32 * * * * | 1 0 1 0 1 0 0 0 | 1 1 0 1 0 ... x.. ... *b3o.. | 3 0 0 | 3 0 0 0 | * * 32 * * * | 0 1 1 0 0 1 0 0 | 1 0 1 1 0 ofx ... ... ...&#xt | 1 2 2 | 0 2 2 1 | * * * 24 * * | 0 0 0 4 0 0 0 0 | 0 2 2 0 0 ... xo. ... ...&#x | 2 1 0 | 1 2 0 0 | * * * * 96 * | 0 0 0 1 1 1 0 0 | 0 1 1 1 0 ..x3..o ... ... | 0 0 3 | 0 0 0 3 | * * * * * 32 | 0 0 0 1 0 0 1 1 | 0 1 1 0 1 -----------------------+--------+------------+-------------------+--------------------+---------- o..3x..3o.. ... ♦ 6 0 0 | 12 0 0 0 | 4 4 0 0 0 0 | 8 * * * * * * * | 1 1 0 0 0 o..3x.. ... *b3o.. ♦ 6 0 0 | 12 0 0 0 | 4 0 4 0 0 0 | * 8 * * * * * * | 1 0 1 0 0 ... x..3o.. *b3o.. ♦ 6 0 0 | 12 0 0 0 | 0 4 4 0 0 0 | * * 8 * * * * * | 1 0 0 1 0 ofx3xoo ... ...&#xt ♦ 3 3 3 | 3 6 3 3 | 1 0 0 3 3 1 | * * * 32 * * * * | 0 1 1 0 0 ... xo.3oo. ...&#x ♦ 3 1 0 | 3 3 0 0 | 0 1 0 0 3 0 | * * * * 32 * * * | 0 1 0 1 0 ... xo. ... *b3oo.&#x ♦ 3 1 0 | 3 3 0 0 | 0 0 1 0 3 0 | * * * * * 32 * * | 0 0 1 1 0 ..x3..o3..o ... ♦ 0 0 4 | 0 0 0 6 | 0 0 0 0 0 4 | * * * * * * 8 * | 0 1 0 0 1 ..x3..o ... *b3..o ♦ 0 0 4 | 0 0 0 6 | 0 0 0 0 0 4 | * * * * * * * 8 | 0 0 1 0 1 -----------------------+--------+------------+-------------------+--------------------+---------- o..3x..3o.. *b3o.. ♦ 24 0 0 | 96 0 0 0 | 32 32 32 0 0 0 | 8 8 8 0 0 0 0 0 | 1 * * * * ofx3xoo3ooo ...&#xt ♦ 6 4 4 | 12 12 4 6 | 4 4 0 6 12 4 | 1 0 0 4 4 0 1 0 | * 8 * * * ofx3xoo ... *b3ooo&#xt ♦ 6 4 4 | 12 12 4 6 | 4 0 4 6 12 4 | 0 1 0 4 0 4 0 1 | * * 8 * * ... xo.3oo. *b3oo.&#x ♦ 6 1 0 | 12 6 0 0 | 0 4 4 0 12 0 | 0 0 1 0 4 4 0 0 | * * * 8 * ..x3..o3..o *b3..o ♦ 0 0 8 | 0 0 0 24 | 0 0 0 0 0 32 | 0 0 0 0 0 0 8 8 | * * * * 1
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