Acronym | gidditdid aidtid |
Name | great ditrigonary dodekicosidodecahedron atop icosidodecatruncated icosidodecahedron |
Circumradius | sqrt[13+4 sqrt(5)] = 4.684471 |
Face vector | 180, 840, 268, 46 |
Confer |
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Incidence matrix according to Dynkin symbol
xx5/3xx3ox5*a&#x → height = (sqrt(5)-1)/4 = 0.309017
(gidditdid || idtid)
o.5/3o.3o.5*a | 60 * | 2 2 2 0 0 0 | 2 1 1 2 2 1 0 0 0 | 1 2 1 1 0
.o5/3.o3.o5*a | * 120 | 0 0 1 1 1 1 | 0 0 0 1 1 1 1 1 1 | 0 1 1 1 1
-----------------+--------+--------------------+----------------------------+-------------
x. .. .. | 2 0 | 60 * * * * * | 1 1 0 1 0 0 0 0 0 | 1 1 1 0 0
.. x. .. | 2 0 | * 60 * * * * | 1 0 1 0 1 0 0 0 0 | 1 1 0 1 0
oo5/3oo3oo5*a&#x | 1 1 | * * 120 * * * | 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0
.x .. .. | 0 2 | * * * 60 * * | 0 0 0 1 0 0 1 1 0 | 0 1 1 0 1
.. .x .. | 0 2 | * * * * 60 * | 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1
.. .. .x | 0 2 | * * * * * 60 | 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1
-----------------+--------+--------------------+----------------------------+-------------
x.5/3x. .. | 10 0 | 5 5 0 0 0 0 | 12 * * * * * * * * | 1 1 0 0 0 {10/3}
x. .. o.5*a | 5 0 | 5 0 0 0 0 0 | * 12 * * * * * * * | 1 0 1 0 0
.. x.3o. | 3 0 | 0 3 0 0 0 0 | * * 20 * * * * * * | 1 0 0 1 0
xx .. .. &#x | 2 2 | 1 0 2 1 0 0 | * * * 60 * * * * * | 0 1 1 0 0
.. xx .. &#x | 2 2 | 0 1 2 0 1 0 | * * * * 60 * * * * | 0 1 0 1 0
.. .. ox &#x | 1 2 | 0 0 2 0 0 1 | * * * * * 60 * * * | 0 0 1 1 0
.x5/3.x .. | 0 10 | 0 0 0 5 5 0 | * * * * * * 12 * * | 0 1 0 0 1 {10/3}
.x .. .x5*a | 0 10 | 0 0 0 5 0 5 | * * * * * * * 12 * | 0 0 1 0 1 {10}
.. .x3.x | 0 6 | 0 0 0 0 3 3 | * * * * * * * * 20 | 0 0 0 1 1
-----------------+--------+--------------------+----------------------------+-------------
x.5/3x.3o.5*a ♦ 60 0 | 60 60 0 0 0 0 | 12 12 20 0 0 0 0 0 0 | 1 * * * *
xx5/3xx .. &#x ♦ 10 10 | 5 5 10 5 5 0 | 1 0 0 5 5 0 1 0 0 | * 12 * * *
xx .. ox5*a&#x ♦ 5 10 | 5 0 10 5 0 5 | 0 1 0 5 0 5 0 1 0 | * * 12 * *
.. xx3ox &#x ♦ 3 6 | 0 3 6 0 3 3 | 0 0 1 0 3 3 0 0 1 | * * * 20 *
.x5/3.x3.x5*a ♦ 0 120 | 0 0 0 60 60 60 | 0 0 0 0 0 0 12 12 20 | * * * * 1
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