Acronym | tixip |
Name | truncated-hexateron prism |
Circumradius | sqrt(2) = 1.414214 |
Volume | 79 sqrt(3)/160 = 0.855200 |
Face vector | 60, 180, 235, 170, 69, 14 |
Confer |
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Incidence matrix according to Dynkin symbol
x x3x3o3o3o . . . . . . | 60 | 1 1 2 | 1 4 4 6 | 4 6 6 4 | 6 4 4 1 | 4 1 1 ------------+----+-----------+--------------+-------------+-------------+------ x . . . . . | 2 | 30 * * | 1 4 0 0 | 4 6 0 0 | 6 4 0 0 | 4 1 0 . x . . . . | 2 | * 30 * | 1 0 4 0 | 4 0 6 0 | 6 0 4 0 | 4 0 1 . . x . . . | 2 | * * 120 | 0 1 1 3 | 1 3 3 3 | 3 3 3 1 | 3 1 1 ------------+----+-----------+--------------+-------------+-------------+------ x x . . . . | 4 | 2 2 0 | 15 * * * ♦ 4 0 0 0 | 6 0 0 0 | 4 0 0 x . x . . . | 4 | 2 0 2 | * 60 * * | 1 3 0 0 | 3 3 0 0 | 3 1 0 . x3x . . . | 6 | 0 3 3 | * * 40 * | 1 0 3 0 | 3 0 3 0 | 3 0 1 . . x3o . . | 3 | 0 0 3 | * * * 120 | 0 1 1 2 | 1 2 2 1 | 2 1 1 ------------+----+-----------+--------------+-------------+-------------+------ x x3x . . . ♦ 12 | 6 6 6 | 3 3 2 0 | 20 * * * | 3 0 0 0 | 3 0 0 x . x3o . . ♦ 6 | 3 0 6 | 0 3 0 2 | * 60 * * | 1 2 0 0 | 2 1 0 . x3x3o . . ♦ 12 | 0 6 12 | 0 0 4 4 | * * 30 * | 1 0 2 0 | 2 0 1 . . x3o3o . ♦ 4 | 0 0 6 | 0 0 0 4 | * * * 60 | 0 1 1 1 | 1 1 1 ------------+----+-----------+--------------+-------------+-------------+------ x x3x3o . . ♦ 24 | 12 12 24 | 6 12 8 8 | 4 4 2 0 | 15 * * * | 2 0 0 x . x3o3o . ♦ 8 | 4 0 12 | 0 6 0 8 | 0 4 0 2 | * 30 * * | 1 1 0 . x3x3o3o . ♦ 20 | 0 10 30 | 0 0 10 20 | 0 0 5 5 | * * 12 * | 1 0 1 . . x3o3o3o ♦ 5 | 0 0 10 | 0 0 0 10 | 0 0 0 5 | * * * 12 | 0 1 1 ------------+----+-----------+--------------+-------------+-------------+------ x x3x3o3o . ♦ 40 | 20 20 60 | 10 30 20 40 | 10 20 10 10 | 5 5 2 0 | 6 * * x . x3o3o3o ♦ 10 | 5 0 20 | 0 10 0 20 | 0 10 0 10 | 0 5 0 2 | * 6 * . x3x3o3o3o ♦ 30 | 0 15 60 | 0 0 20 60 | 0 0 15 30 | 0 0 6 6 | * * 2
xx3xx3oo3oo3oo&#x → height = 1
(tix || tix)
o.3o.3o.3o.3o. | 30 * | 1 4 1 0 0 | 4 6 1 4 0 0 | 6 4 4 6 0 0 | 4 1 6 4 0 0 | 1 4 1 0
.o3.o3.o3.o3.o | * 30 | 0 0 1 1 4 | 0 0 1 4 4 6 | 0 0 4 6 6 4 | 0 0 6 4 4 1 | 0 4 1 1
------------------+-------+----------------+-------------------+-------------------+---------------+--------
x. .. .. .. .. | 2 0 | 15 * * * * | 4 0 1 0 0 0 | 6 0 4 0 0 0 | 4 0 6 0 0 0 | 1 4 0 0
.. x. .. .. .. | 2 0 | * 60 * * * | 1 3 0 1 0 0 | 3 3 1 3 0 0 | 3 1 3 3 0 0 | 1 3 1 0
oo3oo3oo3oo3oo&#x | 1 1 | * * 30 * * | 0 0 1 4 0 0 | 0 0 4 6 0 0 | 0 0 6 4 0 0 | 0 4 1 0
.x .. .. .. .. | 0 2 | * * * 15 * | 0 0 1 0 4 0 | 0 0 4 0 6 0 | 0 0 6 0 4 0 | 0 4 0 1
.. .x .. .. .. | 0 2 | * * * * 60 | 0 0 0 1 1 3 | 0 0 1 3 3 3 | 0 0 3 3 3 1 | 0 3 1 1
------------------+-------+----------------+-------------------+-------------------+---------------+--------
x.3x. .. .. .. | 6 0 | 3 3 0 0 0 | 20 * * * * * | 3 0 1 0 0 0 | 3 0 3 0 0 0 | 1 3 0 0
.. x.3o. .. .. | 3 0 | 0 3 0 0 0 | * 60 * * * * | 1 2 0 1 0 0 | 2 1 1 2 0 0 | 1 2 1 0
xx .. .. .. ..&#x | 2 2 | 1 0 2 1 0 | * * 15 * * * ♦ 0 0 4 0 0 0 | 0 0 6 0 0 0 | 0 4 0 0
.. xx .. .. ..&#x | 2 2 | 0 1 2 0 1 | * * * 60 * * | 0 0 1 3 0 0 | 0 0 3 3 0 0 | 0 3 1 0
.x3.x .. .. .. | 0 6 | 0 0 0 3 3 | * * * * 20 * | 0 0 1 0 3 0 | 0 0 3 0 3 0 | 0 3 0 1
.. .x3.o .. .. | 0 3 | 0 0 0 0 3 | * * * * * 60 | 0 0 0 1 1 2 | 0 0 1 2 2 1 | 0 2 1 1
------------------+-------+----------------+-------------------+-------------------+---------------+--------
x.3x.3o. .. .. ♦ 12 0 | 6 12 0 0 0 | 4 4 0 0 0 0 | 15 * * * * * | 2 0 1 0 0 0 | 1 2 0 0
.. x.3o.3o. .. ♦ 4 0 | 0 6 0 0 0 | 0 4 0 0 0 0 | * 30 * * * * | 1 1 0 1 0 0 | 1 1 1 0
xx3xx .. .. ..&#x ♦ 6 6 | 3 3 6 3 3 | 1 0 3 3 1 0 | * * 20 * * * | 0 0 3 0 0 0 | 0 3 0 0
.. xx3oo .. ..&#x ♦ 3 3 | 0 3 3 0 3 | 0 1 0 3 0 1 | * * * 60 * * | 0 0 1 2 0 0 | 0 2 1 0
.x3.x3.o .. .. ♦ 0 12 | 0 0 0 6 12 | 0 0 0 0 4 4 | * * * * 15 * | 0 0 1 0 2 0 | 0 2 0 1
.. .x3.o3.o .. ♦ 0 4 | 0 0 0 0 6 | 0 0 0 0 0 4 | * * * * * 30 | 0 0 0 1 1 1 | 0 1 1 1
------------------+-------+----------------+-------------------+-------------------+---------------+--------
x.3x.3o.3o. .. ♦ 20 0 | 10 30 0 0 0 | 10 20 0 0 0 0 | 5 5 0 0 0 0 | 6 * * * * * | 1 1 0 0
.. x.3o.3o.3o. ♦ 5 0 | 0 10 0 0 0 | 0 10 0 0 0 0 | 0 5 0 0 0 0 | * 6 * * * * | 1 0 1 0
xx3xx3oo .. ..&#x ♦ 12 12 | 6 12 12 6 12 | 4 4 6 12 4 4 | 1 0 4 4 1 0 | * * 15 * * * | 0 2 0 0
.. xx3oo3oo ..&#x ♦ 4 4 | 0 6 4 0 6 | 0 4 0 6 0 4 | 0 1 0 4 0 1 | * * * 30 * * | 0 1 1 0
.x3.x3.o3.o .. ♦ 0 20 | 0 0 0 10 30 | 0 0 0 0 10 20 | 0 0 0 0 5 5 | * * * * 6 * | 0 1 0 1
.. .x3.o3.o3.o ♦ 0 5 | 0 0 0 0 10 | 0 0 0 0 0 10 | 0 0 0 0 0 5 | * * * * * 6 | 0 0 1 1
------------------+-------+----------------+-------------------+-------------------+---------------+--------
x.3x.3o.3o.3o. ♦ 30 0 | 15 60 0 0 0 | 20 60 0 0 0 0 | 15 30 0 0 0 0 | 6 6 0 0 0 0 | 1 * * *
xx3xx3oo3oo ..&#x ♦ 20 20 | 10 30 20 10 30 | 10 20 10 30 10 20 | 5 5 10 20 5 5 | 1 0 5 5 1 0 | * 6 * *
.. xx3oo3oo3oo&#x ♦ 5 5 | 0 10 5 0 10 | 0 10 0 10 0 10 | 0 5 0 10 0 5 | 0 1 0 5 0 1 | * * 6 *
.x3.x3.o3.o3.o ♦ 0 30 | 0 0 0 15 60 | 0 0 0 0 20 60 | 0 0 0 0 15 30 | 0 0 0 0 6 6 | * * * 1
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