Acronym | doa iddip |
Name | dodecahedron atop icosidodecahedron-prism |
Circumradius | sqrt[(13+5 sqrt(5))/8] = 1.738546 |
Lace city in approx. ASCII-art |
o3o5x o3x5o o3x5o |
Face vector | 80, 300, 376, 189, 35 |
Confer |
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Incidence matrix according to Dynkin symbol
ox oo3ox5xo&#x → height = sqrt[(1+sqrt(5))/8] = 0.636010
(doe || iddip)
o. o.3o.5o. | 20 * | 3 6 0 0 | 3 3 6 6 0 0 0 | 1 3 3 2 6 0 0 0 | 1 3 2 0
.o .o3.o5.o | * 60 | 0 2 1 4 | 0 2 4 1 4 2 2 | 0 4 1 2 2 2 2 1 | 2 2 1 1
---------------+-------+---------------+-----------------------+-----------------------+----------
.. .. .. x. | 2 0 | 30 * * * | 2 0 0 2 0 0 0 | 1 0 1 0 4 0 0 0 | 0 2 2 0
oo oo3oo5oo&#x | 1 1 | * 120 * * | 0 1 2 1 0 0 0 | 0 2 1 1 2 0 0 0 | 1 2 1 0
.x .. .. .. | 0 2 | * * 30 * | 0 2 0 0 4 0 0 | 0 4 1 0 0 2 2 0 | 2 2 0 1
.. .. .x .. | 0 2 | * * * 120 | 0 0 1 0 1 1 1 | 0 1 0 1 1 1 1 1 | 1 1 1 1
---------------+-------+---------------+-----------------------+-----------------------+----------
.. .. o.5x. | 5 0 | 5 0 0 0 | 12 * * * * * * | 1 0 0 0 2 0 0 0 | 0 1 2 0
ox .. .. ..&#x | 1 2 | 0 2 1 0 | * 60 * * * * * | 0 2 1 0 0 0 0 0 | 1 2 0 0
.. .. ox ..&#x | 1 2 | 0 2 0 1 | * * 120 * * * * | 0 1 0 1 1 0 0 0 | 1 1 1 0
.. .. .. xo&#x | 2 1 | 1 2 0 0 | * * * 60 * * * | 0 0 1 0 2 0 0 0 | 0 2 1 0
.x .. .x .. | 0 4 | 0 0 2 2 | * * * * 60 * * | 0 1 0 0 0 1 1 0 | 1 1 0 1
.. .o3.x .. | 0 3 | 0 0 0 3 | * * * * * 40 * | 0 0 0 1 0 1 0 1 | 1 0 1 1
.. .. .x5.o | 0 5 | 0 0 0 5 | * * * * * * 24 | 0 0 0 0 1 0 1 1 | 0 1 1 1
---------------+-------+---------------+-----------------------+-----------------------+----------
.. o.3o.5x. ♦ 20 0 | 30 0 0 0 | 12 0 0 0 0 0 0 | 1 * * * * * * * | 0 0 2 0
ox .. ox ..&#x ♦ 1 4 | 0 4 2 2 | 0 2 2 0 1 0 0 | * 60 * * * * * * | 1 1 0 0
ox .. .. xo&#x ♦ 2 2 | 1 4 1 0 | 0 2 0 2 0 0 0 | * * 30 * * * * * | 0 2 0 0
.. oo3ox ..&#x ♦ 1 3 | 0 3 0 3 | 0 0 3 0 0 1 0 | * * * 40 * * * * | 1 0 1 0
.. .. ox5xo&#x ♦ 5 5 | 5 10 0 5 | 1 0 5 5 0 0 1 | * * * * 24 * * * | 0 1 1 0
.x .o3.x .. ♦ 0 6 | 0 0 3 6 | 0 0 0 0 3 2 0 | * * * * * 20 * * | 1 0 0 1
.x .. .x5.o ♦ 0 10 | 0 0 5 10 | 0 0 0 0 5 0 2 | * * * * * * 12 * | 0 1 0 1
.. .o3.x5.o ♦ 0 30 | 0 0 0 60 | 0 0 0 0 0 20 12 | * * * * * * * 2 | 0 0 1 1
---------------+-------+---------------+-----------------------+-----------------------+----------
ox oo3ox ..&#x ♦ 1 6 | 0 6 3 6 | 0 3 6 0 3 2 0 | 0 3 0 2 0 1 0 0 | 20 * * *
ox .. ox5xo&#x ♦ 5 10 | 5 20 5 10 | 1 10 10 10 5 0 2 | 0 5 5 0 2 0 1 0 | * 12 * *
.. oo3ox5xo&#x ♦ 20 30 | 30 60 0 60 | 12 0 60 30 0 20 12 | 1 0 0 20 12 0 0 1 | * * 2 *
.x .o3.x5.o ♦ 0 60 | 0 0 30 120 | 0 0 0 0 60 40 24 | 0 0 0 0 0 20 12 2 | * * * 1
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