Acronym | trarix |
Name | triangle-rix duoprism |
Circumradius | 1 |
Face vector | 45, 225, 435, 435, 251, 84, 15 |
Confer |
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Incidence matrix according to Dynkin symbol
x3o o3x3o3o3o o3o o3o3o3o3o | 45 | 2 8 | 1 16 4 12 | 8 8 24 6 8 | 4 12 12 16 4 2 | 6 8 8 4 1 | 4 2 2 --------------+----+--------+---------------+-----------------+-------------------+---------------+------ x . . . . . . | 2 | 45 * | 1 8 0 0 | 8 4 12 0 0 | 4 12 6 8 0 0 | 6 8 4 2 0 | 4 2 1 . . . x . . . | 2 | * 180 | 0 2 1 3 | 1 2 6 3 3 | 1 3 6 6 3 1 | 3 3 6 2 1 | 3 1 2 --------------+----+--------+---------------+-----------------+-------------------+---------------+------ x3o . . . . . | 3 | 3 0 | 15 * * * ♦ 8 0 0 0 0 | 4 12 0 0 0 0 | 6 8 0 0 0 | 4 2 0 x . . x . . . | 4 | 2 2 | * 180 * * | 1 1 3 0 0 | 1 3 3 3 0 0 | 3 3 3 1 0 | 3 1 1 . . o3x . . . | 3 | 0 3 | * * 60 * | 0 2 0 3 0 | 1 0 6 0 3 0 | 3 0 6 0 1 | 3 0 2 . . . x3o . . | 3 | 0 3 | * * * 180 | 0 0 2 1 2 | 0 1 2 4 2 1 | 1 2 4 2 1 | 2 1 2 --------------+----+--------+---------------+-----------------+-------------------+---------------+------ x3o . x . . . ♦ 6 | 6 3 | 2 3 0 0 | 60 * * * * | 1 3 0 0 0 0 | 3 3 0 0 0 | 3 1 0 x . o3x . . . ♦ 6 | 3 6 | 0 3 2 0 | * 60 * * * | 1 0 3 0 0 0 | 3 0 3 0 0 | 3 0 1 x . . x3o . . ♦ 6 | 3 6 | 0 3 0 2 | * * 180 * * | 0 1 1 2 0 0 | 1 2 2 1 0 | 2 1 1 . . o3x3o . . ♦ 6 | 0 12 | 0 0 4 4 | * * * 45 * | 0 0 2 0 2 0 | 1 0 4 0 1 | 2 0 2 . . . x3o3o . ♦ 4 | 0 6 | 0 0 0 4 | * * * * 90 | 0 0 0 2 1 1 | 0 1 2 2 1 | 1 1 2 --------------+----+--------+---------------+-----------------+-------------------+---------------+------ x3o o3x . . . ♦ 9 | 9 9 | 3 9 3 0 | 3 3 0 0 0 | 20 * * * * * | 3 0 0 0 0 | 3 0 0 x3o . x3o . . ♦ 9 | 9 9 | 3 9 0 3 | 3 0 3 0 0 | * 60 * * * * | 1 2 0 0 0 | 2 1 0 x . o3x3o . . ♦ 12 | 6 24 | 0 12 8 8 | 0 4 4 2 0 | * * 45 * * * | 1 0 2 0 0 | 2 0 1 x . . x3o3o . ♦ 8 | 4 12 | 0 6 0 8 | 0 0 4 0 2 | * * * 90 * * | 0 1 1 1 0 | 1 1 1 . . o3x3o3o . ♦ 10 | 0 30 | 0 0 10 20 | 0 0 0 5 5 | * * * * 18 * | 0 0 2 0 1 | 1 0 2 . . . x3o3o3o ♦ 5 | 0 10 | 0 0 0 10 | 0 0 0 0 5 | * * * * * 18 | 0 0 0 2 1 | 0 1 2 --------------+----+--------+---------------+-----------------+-------------------+---------------+------ x3o o3x3o . . ♦ 18 | 18 36 | 6 36 12 12 | 12 12 12 3 0 | 4 4 3 0 0 0 | 15 * * * * | 2 0 0 x3o . x3o3o . ♦ 12 | 12 18 | 4 18 0 12 | 6 0 12 0 3 | 0 4 0 3 0 0 | * 30 * * * | 1 1 0 x . o3x3o3o . ♦ 20 | 10 60 | 0 30 20 40 | 0 10 20 10 10 | 0 0 5 5 2 0 | * * 18 * * | 1 0 1 x . . x3o3o3o ♦ 10 | 5 20 | 0 10 0 20 | 0 0 10 0 10 | 0 0 0 5 0 2 | * * * 18 * | 0 1 1 . . o3x3o3o3o ♦ 15 | 0 60 | 0 0 20 60 | 0 0 0 15 30 | 0 0 0 0 6 6 | * * * * 3 | 0 0 2 --------------+----+--------+---------------+-----------------+-------------------+---------------+------ x3o o3x3o3o . ♦ 30 | 30 90 | 10 90 30 60 | 30 30 60 15 15 | 10 20 15 15 3 0 | 5 5 3 0 0 | 6 * * x3o . x3o3o3o ♦ 15 | 15 30 | 5 30 0 30 | 10 0 30 0 15 | 0 10 0 15 0 3 | 0 5 0 3 0 | * 6 * x . o3x3o3o3o ♦ 30 | 15 120 | 0 60 40 120 | 0 20 60 30 60 | 0 0 15 30 12 12 | 0 0 6 6 2 | * * 3
ox oo3xx3oo3oo3oo&#x → height = sqrt(3)/2 = 0.866025
(rix || rixip)
o. o.3o.3o.3o.3o. | 15 * | 8 2 0 0 | 4 12 1 16 0 0 0 | 6 8 8 8 24 0 0 0 0 | 4 2 4 12 12 16 0 0 0 0 | 1 6 8 8 4 0 0 0 | 4 2 2 0
.o .o3.o3.o3.o3.o | * 30 | 0 1 1 8 | 0 0 1 8 8 4 12 | 0 0 8 4 12 4 12 6 8 | 0 0 4 12 6 8 6 8 4 2 | 0 6 8 4 2 4 2 1 | 4 2 1 1
---------------------+-------+--------------+------------------------+-----------------------------+-----------------------------+---------------------+--------
.. .. x. .. .. .. | 2 0 | 60 * * * | 1 3 0 2 0 0 0 | 3 3 1 2 6 0 0 0 0 | 3 1 1 3 6 6 0 0 0 0 | 1 3 3 6 2 0 0 0 | 3 1 2 0
oo oo3oo3oo3oo3oo&#x | 1 1 | * 30 * * | 0 0 1 8 0 0 0 | 0 0 8 4 12 0 0 0 0 | 0 0 4 12 6 8 0 0 0 0 | 0 6 8 4 2 0 0 0 | 4 2 1 0
.x .. .. .. .. .. | 0 2 | * * 15 * | 0 0 1 0 8 0 0 | 0 0 8 0 0 4 12 0 0 | 0 0 4 12 0 0 6 8 0 0 | 0 6 8 0 0 4 2 0 | 4 2 0 1
.. .. .x .. .. .. | 0 2 | * * * 120 | 0 0 0 1 1 1 3 | 0 0 1 1 3 1 3 3 3 | 0 0 1 3 3 3 3 3 3 1 | 0 3 3 3 1 3 1 1 | 3 1 1 1
---------------------+-------+--------------+------------------------+-----------------------------+-----------------------------+---------------------+--------
.. o.3x. .. .. .. | 3 0 | 3 0 0 0 | 20 * * * * * * | 3 0 0 2 0 0 0 0 0 | 3 0 1 0 6 0 0 0 0 0 | 1 3 0 6 0 0 0 0 | 3 0 2 0
.. .. x.3o. .. .. | 3 0 | 3 0 0 0 | * 60 * * * * * | 1 2 0 0 2 0 0 0 0 | 2 1 0 1 2 4 0 0 0 0 | 1 1 2 4 2 0 0 0 | 2 1 2 0
ox .. .. .. .. ..&#x | 1 2 | 0 2 1 0 | * * 15 * * * * ♦ 0 0 8 0 0 0 0 0 0 | 0 0 4 12 0 0 0 0 0 0 | 0 6 8 0 0 0 0 0 | 4 2 0 0
.. .. xx .. .. ..&#x | 2 2 | 1 2 0 1 | * * * 120 * * * | 0 0 1 1 3 0 0 0 0 | 0 0 1 3 3 3 0 0 0 0 | 0 3 3 3 1 0 0 0 | 3 1 1 0
.x .. .x .. .. .. | 0 4 | 0 0 2 2 | * * * * 60 * * | 0 0 1 0 0 1 3 0 0 | 0 0 1 3 0 0 3 3 0 0 | 0 3 3 0 0 3 1 0 | 3 1 0 1
.. .o3.x .. .. .. | 0 3 | 0 0 0 3 | * * * * * 40 * | 0 0 0 1 0 1 0 3 0 | 0 0 1 0 3 0 3 0 3 0 | 0 3 0 3 0 3 0 1 | 3 0 1 1
.. .. .x3.o .. .. | 0 3 | 0 0 0 3 | * * * * * * 120 | 0 0 0 0 1 0 1 1 2 | 0 0 0 1 1 2 1 2 2 1 | 0 1 2 2 1 2 1 1 | 2 1 1 1
---------------------+-------+--------------+------------------------+-----------------------------+-----------------------------+---------------------+--------
.. o.3x.3o. .. .. ♦ 6 0 | 12 0 0 0 | 4 4 0 0 0 0 0 | 15 * * * * * * * * | 2 0 0 0 2 0 0 0 0 0 | 1 1 0 4 0 0 0 0 | 2 0 2 0
.. .. x.3o.3o. .. ♦ 4 0 | 6 0 0 0 | 0 4 0 0 0 0 0 | * 30 * * * * * * * | 1 1 0 0 0 2 0 0 0 0 | 1 0 1 2 2 0 0 0 | 1 1 2 0
ox .. xx .. .. ..&#x ♦ 2 4 | 1 4 2 2 | 0 0 2 2 1 0 0 | * * 60 * * * * * * | 0 0 1 3 0 0 0 0 0 0 | 0 3 3 0 0 0 0 0 | 3 1 0 0
.. oo3xx .. .. ..&#x ♦ 3 3 | 3 3 0 3 | 1 0 0 3 0 1 0 | * * * 40 * * * * * | 0 0 1 0 3 0 0 0 0 0 | 0 3 0 3 0 0 0 0 | 3 0 1 0
.. .. xx3oo .. ..&#x ♦ 3 3 | 3 3 0 3 | 0 1 0 3 0 0 1 | * * * * 120 * * * * | 0 0 0 1 1 2 0 0 0 0 | 0 1 2 2 1 0 0 0 | 2 1 1 0
.x .o3.x .. .. .. ♦ 0 6 | 0 0 3 6 | 0 0 0 0 3 2 0 | * * * * * 20 * * * | 0 0 1 0 0 0 3 0 0 0 | 0 3 0 0 0 3 0 0 | 3 0 0 1
.x .. .x3.o .. .. ♦ 0 6 | 0 0 3 6 | 0 0 0 0 3 0 2 | * * * * * * 60 * * | 0 0 0 1 0 0 1 2 0 0 | 0 1 2 0 0 2 1 0 | 2 1 0 1
.. .o3.x3.o .. .. ♦ 0 6 | 0 0 0 12 | 0 0 0 0 0 4 4 | * * * * * * * 30 * | 0 0 0 0 1 0 1 0 2 0 | 0 1 0 2 0 2 0 1 | 2 0 1 1
.. .. .x3.o3.o .. ♦ 0 4 | 0 0 0 6 | 0 0 0 0 0 0 4 | * * * * * * * * 60 | 0 0 0 0 0 1 0 1 1 1 | 0 0 1 1 1 1 1 1 | 1 1 1 1
---------------------+-------+--------------+------------------------+-----------------------------+-----------------------------+---------------------+--------
.. o.3x.3o.3o. .. ♦ 10 0 | 30 0 0 0 | 10 20 0 0 0 0 0 | 5 5 0 0 0 0 0 0 0 | 6 * * * * * * * * * | 1 0 0 2 0 0 0 0 | 1 0 2 0
.. .. x.3o.3o.3o. ♦ 5 0 | 10 0 0 0 | 0 10 0 0 0 0 0 | 0 5 0 0 0 0 0 0 0 | * 6 * * * * * * * * | 1 0 0 0 2 0 0 0 | 0 1 2 0
ox oo3xx .. .. ..&#x ♦ 3 6 | 3 6 3 6 | 1 0 3 6 3 2 0 | 0 0 3 2 0 1 0 0 0 | * * 20 * * * * * * * | 0 3 0 0 0 0 0 0 | 3 0 0 0
ox .. xx3oo .. ..&#x ♦ 3 6 | 3 6 3 6 | 0 1 3 6 3 0 2 | 0 0 3 0 2 0 1 0 0 | * * * 60 * * * * * * | 0 1 2 0 0 0 0 0 | 2 1 0 0
.. oo3xx3oo .. ..&#x ♦ 6 6 | 12 6 0 12 | 4 4 0 12 0 4 4 | 1 0 0 4 4 0 0 1 0 | * * * * 30 * * * * * | 0 1 0 2 0 0 0 0 | 2 0 1 0
.. .. xx3oo3oo ..&#x ♦ 4 4 | 6 4 0 6 | 0 4 0 6 0 0 4 | 0 1 0 0 4 0 0 0 1 | * * * * * 60 * * * * | 0 0 1 1 1 0 0 0 | 1 1 1 0
.x .o3.x3.o .. .. ♦ 0 12 | 0 0 6 24 | 0 0 0 0 12 8 8 | 0 0 0 0 0 4 4 2 0 | * * * * * * 15 * * * | 0 1 0 0 0 2 0 0 | 2 0 0 1
.x .. .x3.o3.o .. ♦ 0 8 | 0 0 4 12 | 0 0 0 0 6 0 8 | 0 0 0 0 0 0 4 0 2 | * * * * * * * 30 * * | 0 0 1 0 0 1 1 0 | 1 1 0 1
.. .o3.x3.o3.o .. ♦ 0 10 | 0 0 0 30 | 0 0 0 0 0 10 20 | 0 0 0 0 0 0 0 5 5 | * * * * * * * * 12 * | 0 0 0 1 0 1 0 1 | 1 0 1 1
.. .. .x3.o3.o3.o ♦ 0 5 | 0 0 0 10 | 0 0 0 0 0 0 10 | 0 0 0 0 0 0 0 0 5 | * * * * * * * * * 12 | 0 0 0 0 1 0 1 1 | 0 1 1 1
---------------------+-------+--------------+------------------------+-----------------------------+-----------------------------+---------------------+--------
.. o.3x.3o.3o.3o. ♦ 15 0 | 60 0 0 0 | 20 60 0 0 0 0 0 | 15 30 0 0 0 0 0 0 0 | 6 6 0 0 0 0 0 0 0 0 | 1 * * * * * * * | 0 0 2 0
ox oo3xx3oo .. ..&#x ♦ 6 12 | 12 12 6 24 | 4 4 6 24 12 8 8 | 1 0 12 8 8 4 4 2 0 | 0 0 4 4 2 0 1 0 0 0 | * 15 * * * * * * | 2 0 0 0
ox .. xx3oo3oo ..&#x ♦ 4 8 | 6 8 4 12 | 0 4 4 12 6 0 8 | 0 1 6 0 8 0 4 0 2 | 0 0 0 4 0 2 0 1 0 0 | * * 30 * * * * * | 1 1 0 0
.. oo3xx3oo3oo ..&#x ♦ 10 10 | 30 10 0 30 | 10 20 0 30 0 10 20 | 5 5 0 10 20 0 0 5 5 | 1 0 0 0 5 5 0 0 1 0 | * * * 12 * * * * | 1 0 1 0
.. .. xx3oo3oo3oo&#x ♦ 5 5 | 10 5 0 10 | 0 10 0 10 0 0 10 | 0 5 0 0 10 0 0 0 5 | 0 1 0 0 0 5 0 0 0 1 | * * * * 12 * * * | 0 1 1 0
.x .o3.x3.o3.o .. ♦ 0 20 | 0 0 10 60 | 0 0 0 0 30 20 40 | 0 0 0 0 0 10 20 10 10 | 0 0 0 0 0 0 5 5 2 0 | * * * * * 6 * * | 1 0 0 1
.x .. .x3.o3.o3.o ♦ 0 10 | 0 0 5 20 | 0 0 0 0 10 0 20 | 0 0 0 0 0 0 10 0 10 | 0 0 0 0 0 0 0 5 0 2 | * * * * * * 6 * | 0 1 0 1
.. .o3.x3.o3.o3.o ♦ 0 15 | 0 0 0 60 | 0 0 0 0 0 20 60 | 0 0 0 0 0 0 0 15 30 | 0 0 0 0 0 0 0 0 6 6 | * * * * * * * 2 | 0 0 1 1
---------------------+-------+--------------+------------------------+-----------------------------+-----------------------------+---------------------+--------
ox oo3xx3oo3oo ..&#x ♦ 10 20 | 30 20 10 60 | 10 20 10 60 30 20 40 | 5 5 30 20 40 10 20 10 10 | 1 0 10 20 10 10 5 5 2 0 | 0 5 5 2 0 1 0 0 | 6 * * *
ox .. xx3oo3oo3oo&#x ♦ 5 10 | 10 10 5 20 | 0 10 5 20 10 0 20 | 0 5 10 0 20 0 10 0 10 | 0 1 0 10 0 10 0 5 0 2 | 0 0 5 0 2 0 1 0 | * 6 * *
.. oo3xx3oo3oo3oo&#x ♦ 15 15 | 60 15 0 60 | 20 60 0 60 0 20 60 | 15 30 0 20 60 0 0 15 30 | 6 6 0 0 15 30 0 0 6 6 | 1 0 0 6 6 0 0 1 | * * 2 *
.x .o3.x3.o3.o3.o ♦ 0 30 | 0 0 15 120 | 0 0 0 0 60 40 120 | 0 0 0 0 0 20 60 30 60 | 0 0 0 0 0 0 15 30 12 12 | 0 0 0 0 0 6 6 2 | * * * 1
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