Acronym | tiggia gaquatid |
Name | truncated great icosahedron atop great quasitruncated icosidodecahedron |
Circumradius | sqrt[(45 sqrt(5)-73)/22] = 1.120533 |
Face vector | 180, 390, 274, 64 |
Confer |
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Incidence matrix according to Dynkin symbol
xx3xx5/3ox&#x → height = sqrt[(3 sqrt(5)-1)/8] = 0.844704
(tiggy || gaquatid)
o.3o.5/3o. | 60 * | 1 2 2 0 0 0 | 2 1 2 2 1 0 0 0 | 1 2 1 1 0
.o3.o5/3.o | * 120 | 0 0 1 1 1 1 | 0 0 1 1 1 1 1 1 | 0 1 1 1 1
--------------+--------+--------------------+-------------------------+-------------
x. .. .. | 2 0 | 30 * * * * * | 2 0 2 0 0 0 0 0 | 1 2 1 0 0
.. x. .. | 2 0 | * 60 * * * * | 1 1 0 1 0 0 0 0 | 1 1 0 1 0
oo3oo5/3oo&#x | 1 1 | * * 120 * * * | 0 0 1 1 1 0 0 0 | 0 1 1 1 0
.x .. .. | 0 2 | * * * 60 * * | 0 0 1 0 0 1 1 0 | 0 1 1 0 1
.. .x .. | 0 2 | * * * * 60 * | 0 0 0 1 0 1 0 1 | 0 1 0 1 1
.. .. .x | 0 2 | * * * * * 60 | 0 0 0 0 1 0 1 1 | 0 0 1 1 1
--------------+--------+--------------------+-------------------------+-------------
x.3x. .. | 6 0 | 3 3 0 0 0 0 | 20 * * * * * * * | 1 1 0 0 0
.. x.5/3o. | 5 0 | 0 5 0 0 0 0 | * 12 * * * * * * | 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
.x3.x .. | 0 6 | 0 0 0 3 3 0 | * * * * * 20 * * | 0 1 0 0 1
.x .. .x | 0 4 | 0 0 0 2 0 2 | * * * * * * 30 * | 0 0 1 0 1
.. .x5/3.x | 0 10 | 0 0 0 0 5 5 | * * * * * * * 12 | 0 0 0 1 1
--------------+--------+--------------------+-------------------------+-------------
x.3x.5/3o. ♦ 60 0 | 30 60 0 0 0 0 | 20 12 0 0 0 0 0 0 | 1 * * * *
xx3xx ..&#x ♦ 6 6 | 3 3 6 3 3 0 | 1 0 3 3 0 1 0 0 | * 20 * * *
xx .. ox&#x ♦ 2 4 | 1 0 4 2 0 2 | 0 0 2 0 2 0 1 0 | * * 30 * *
.. xx5/3ox&#x ♦ 5 10 | 0 5 10 0 5 5 | 0 1 0 5 5 0 0 1 | * * * 12 *
.x3.x5/3.x ♦ 0 120 | 0 0 0 60 60 60 | 0 0 0 0 0 20 30 12 | * * * * 1
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