Acronym | toa sircope |
Name | truncated-octahedron atop small-rhombicuboctahedron-prism |
Circumradius | sqrt[(13+5 sqrt(2))/8] = 1.583946 |
Lace city in approx. ASCII-art |
x3x4o x3o4x x3o4x |
Face vector | 72, 252, 306, 153, 29 |
Confer |
|
Incidence matrix according to Dynkin symbol
ox xx3xo4ox&#x → height = sqrt[sqrt(2)-1] = 0.643594
(toe || sircope)
o. o.3o.4o. | 24 * | 1 2 4 0 0 0 | 2 1 2 4 4 2 0 0 0 0 0 | 1 2 2 1 4 2 2 0 0 0 0 | 2 1 1 2 0
.o .o3.o4.o | * 48 | 0 0 2 1 2 2 | 0 0 2 2 1 2 2 2 1 2 1 | 0 2 1 2 1 2 1 1 2 1 1 | 1 2 1 1 1
---------------+-------+-------------------+--------------------------------+------------------------------+-----------
.. x. .. .. | 2 0 | 12 * * * * * | 2 0 0 4 0 0 0 0 0 0 0 | 1 2 0 0 4 2 0 0 0 0 0 | 2 1 0 2 0
.. .. x. .. | 2 0 | * 24 * * * * | 1 1 0 0 2 0 0 0 0 0 0 | 1 0 1 0 2 0 2 0 0 0 0 | 1 0 1 2 0
oo oo3oo4oo&#x | 1 1 | * * 96 * * * | 0 0 1 1 1 1 0 0 0 0 0 | 0 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0
.x .. .. .. | 0 2 | * * * 24 * * | 0 0 2 0 0 0 2 2 0 0 0 | 0 2 1 2 0 0 0 1 2 1 0 | 1 2 1 0 1
.. .x .. .. | 0 2 | * * * * 48 * | 0 0 0 1 0 0 1 0 1 1 0 | 0 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1
.. .. .. .x | 0 2 | * * * * * 48 | 0 0 0 0 0 1 0 1 0 1 1 | 0 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1
---------------+-------+-------------------+--------------------------------+------------------------------+-----------
.. x.3x. .. | 6 0 | 3 3 0 0 0 0 | 8 * * * * * * * * * * | 1 0 0 0 2 0 0 0 0 0 0 | 1 0 0 2 0
.. .. x.4o. | 4 0 | 0 4 0 0 0 0 | * 6 * * * * * * * * * | 1 0 0 0 0 0 2 0 0 0 0 | 0 0 1 2 0
ox .. .. ..&#x | 1 2 | 0 0 2 1 0 0 | * * 48 * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0
.. xx .. ..&#x | 2 2 | 1 0 2 0 1 0 | * * * 48 * * * * * * * | 0 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0
.. .. xo ..&#x | 2 1 | 0 1 2 0 0 0 | * * * * 48 * * * * * * | 0 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0
.. .. .. ox&#x | 1 2 | 0 0 2 0 0 1 | * * * * * 48 * * * * * | 0 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0
.x .x .. .. | 0 4 | 0 0 0 2 2 0 | * * * * * * 24 * * * * | 0 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1
.x .. .. .x | 0 4 | 0 0 0 2 0 2 | * * * * * * * 24 * * * | 0 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1
.. .x3.o .. | 0 3 | 0 0 0 0 3 0 | * * * * * * * * 16 * * | 0 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1
.. .x .. .x | 0 4 | 0 0 0 0 2 2 | * * * * * * * * * 24 * | 0 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
.. .. .o4.x | 0 4 | 0 0 0 0 0 4 | * * * * * * * * * * 12 | 0 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
---------------+-------+-------------------+--------------------------------+------------------------------+-----------
.. x.3x.4o. ♦ 24 0 | 12 24 0 0 0 0 | 8 6 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * | 0 0 0 2 0
ox xx .. ..&#x ♦ 2 4 | 1 0 4 2 2 0 | 0 0 2 2 0 0 1 0 0 0 0 | * 24 * * * * * * * * * | 1 1 0 0 0
ox .. xo ..&#x ♦ 2 2 | 0 1 4 1 0 0 | 0 0 2 0 2 0 0 0 0 0 0 | * * 24 * * * * * * * * | 1 0 1 0 0
ox .. .. ox&#x ♦ 1 4 | 0 0 4 2 0 2 | 0 0 2 0 0 2 0 1 0 0 0 | * * * 24 * * * * * * * | 0 1 1 0 0
.. xx3xo ..&#x ♦ 6 3 | 3 3 6 0 3 0 | 1 0 0 3 3 0 0 0 1 0 0 | * * * * 16 * * * * * * | 1 0 0 1 0
.. xx .. ox&#x ♦ 2 4 | 1 0 4 0 2 2 | 0 0 0 2 0 2 0 0 0 1 0 | * * * * * 24 * * * * * | 0 1 0 1 0
.. .. xo4ox&#x ♦ 4 4 | 0 4 8 0 0 4 | 0 1 0 0 4 4 0 0 0 0 1 | * * * * * * 12 * * * * | 0 0 1 1 0
.x .x3.o .. ♦ 0 6 | 0 0 0 3 6 0 | 0 0 0 0 0 0 3 0 2 0 0 | * * * * * * * 8 * * * | 1 0 0 0 1
.x .x .. .x ♦ 0 8 | 0 0 0 4 4 4 | 0 0 0 0 0 0 2 2 0 2 0 | * * * * * * * * 12 * * | 0 1 0 0 1
.x .. .o4.x ♦ 0 8 | 0 0 0 4 0 8 | 0 0 0 0 0 0 0 4 0 0 2 | * * * * * * * * * 6 * | 0 0 1 0 1
.. .x3.o4.x ♦ 0 24 | 0 0 0 0 24 24 | 0 0 0 0 0 0 0 0 8 12 6 | * * * * * * * * * * 2 | 0 0 0 1 1
---------------+-------+-------------------+--------------------------------+------------------------------+-----------
ox xx3xo ..&#x ♦ 6 6 | 3 3 12 3 6 0 | 1 0 6 6 6 0 3 0 2 0 0 | 0 3 3 0 2 0 0 1 0 0 0 | 8 * * * *
ox xx .. ox&#x ♦ 2 8 | 1 0 8 4 4 4 | 0 0 4 4 0 4 2 2 0 2 0 | 0 2 0 2 0 2 0 0 1 0 0 | * 12 * * *
ox .. xo4ox&#x ♦ 4 8 | 0 4 16 4 0 8 | 0 1 8 0 8 8 0 4 0 0 2 | 0 0 4 4 0 0 2 0 0 1 0 | * * 6 * *
.. xx3xo4ox&#x ♦ 24 24 | 12 24 48 0 24 24 | 8 6 0 24 24 24 0 0 8 12 6 | 1 0 0 0 8 12 6 0 0 0 1 | * * * 2 *
.x .x3.o4.x ♦ 0 48 | 0 0 0 24 48 48 | 0 0 0 0 0 0 24 24 16 24 12 | 0 0 0 0 0 0 0 8 12 6 2 | * * * * 1
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