Acronym | trahix |
Name |
triangle - hexateron duoprism, vertex figure of brene |
Circumradius | sqrt(3)/2 = 0.866025 |
Volume | 1/640 = 0.0015625 |
Face vector | 18, 63, 111, 120, 83, 36, 9 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x3o x3o3o3o3o . . . . . . . | 18 | 2 5 | 1 10 10 | 5 20 10 | 10 10 5 | 10 10 1 | 5 2 --------------+----+-------+---------+----------+----------+---------+---- x . . . . . . | 2 | 18 * | 1 5 0 | 5 10 0 | 10 5 0 | 10 5 0 | 5 1 . . x . . . . | 2 | * 45 | 0 2 4 | 1 8 6 | 4 12 4 | 6 8 1 | 4 2 --------------+----+-------+---------+----------+----------+---------+---- x3o . . . . . | 3 | 3 0 | 6 * * ♦ 5 0 0 | 10 0 0 | 10 0 0 | 5 0 x . x . . . . | 4 | 2 2 | * 45 * | 1 4 0 | 4 6 0 | 6 4 0 | 4 1 . . x3o . . . | 3 | 0 3 | * * 60 | 0 2 3 | 1 6 3 | 3 6 1 | 3 2 --------------+----+-------+---------+----------+----------+---------+---- x3o x . . . . ♦ 6 | 6 3 | 2 3 0 | 15 * * ♦ 4 0 0 | 6 0 0 | 4 0 x . x3o . . . ♦ 6 | 3 6 | 0 3 2 | * 60 * | 1 3 0 | 3 3 0 | 3 1 . . x3o3o . . ♦ 4 | 0 6 | 0 0 4 | * * 45 | 0 2 2 | 1 4 1 | 2 2 --------------+----+-------+---------+----------+----------+---------+---- x3o x3o . . . ♦ 9 | 9 9 | 3 9 3 | 3 3 0 | 20 * * | 3 0 0 | 3 0 x . x3o3o . . ♦ 8 | 4 12 | 0 6 8 | 0 4 2 | * 45 * | 1 2 0 | 2 1 . . x3o3o3o . ♦ 5 | 0 10 | 0 0 10 | 0 0 5 | * * 18 | 0 2 1 | 1 2 --------------+----+-------+---------+----------+----------+---------+---- x3o x3o3o . . ♦ 12 | 12 18 | 4 18 12 | 6 12 3 | 4 3 0 | 15 * * | 2 0 x . x3o3o3o . ♦ 10 | 5 20 | 0 10 20 | 0 10 10 | 0 5 2 | * 18 * | 1 1 . . x3o3o3o3o ♦ 6 | 0 15 | 0 0 20 | 0 0 15 | 0 0 6 | * * 3 | 0 2 --------------+----+-------+---------+----------+----------+---------+---- x3o x3o3o3o . ♦ 15 | 15 30 | 5 30 30 | 10 30 15 | 10 15 3 | 5 3 0 | 6 * x . x3o3o3o3o ♦ 12 | 6 30 | 0 15 40 | 0 20 30 | 0 15 12 | 0 6 2 | * 3
ox xx3oo3oo3oo3oo&#x → height = sqrt(3)/2 = 0.866025
(hix || hixip)
o. o.3o.3o.3o.3o. | 6 * | 5 2 0 0 | 10 1 10 0 0 | 10 5 20 0 0 | 5 10 20 0 0 | 1 10 10 0 0 | 5 2 0
.o .o3.o3.o3.o3.o | * 12 | 0 1 1 5 | 0 1 5 5 10 | 0 5 10 10 10 | 0 10 10 10 5 | 0 10 5 5 1 | 5 1 1
---------------------+------+------------+---------------+----------------+---------------+-------------+------
.. x. .. .. .. .. | 2 0 | 15 * * * | 4 0 2 0 0 | 6 1 8 0 0 | 4 4 12 0 0 | 1 6 8 0 0 | 4 2 0
oo oo3oo3oo3oo3oo&#x | 1 1 | * 12 * * | 0 1 5 0 0 | 0 5 10 0 0 | 0 10 10 0 0 | 0 10 5 0 0 | 5 1 0
.x .. .. .. .. .. | 0 2 | * * 6 * | 0 1 0 5 0 | 0 5 0 10 0 | 0 10 0 10 0 | 0 10 0 5 0 | 5 0 1
.. .x .. .. .. .. | 0 2 | * * * 30 | 0 0 1 1 4 | 0 1 4 4 6 | 0 4 6 6 4 | 0 6 4 4 1 | 4 1 1
---------------------+------+------------+---------------+----------------+---------------+-------------+------
.. x.3o. .. .. .. | 3 0 | 3 0 0 0 | 20 * * * * | 3 0 2 0 0 | 3 1 6 0 0 | 1 3 6 0 0 | 3 2 0
ox .. .. .. .. ..&#x | 1 2 | 0 2 1 0 | * 6 * * * ♦ 0 5 0 0 0 | 0 10 0 0 0 | 0 10 0 0 0 | 5 0 0
.. xx .. .. .. ..&#x | 2 2 | 1 2 0 1 | * * 30 * * | 0 1 4 0 0 | 0 4 6 0 0 | 0 6 4 0 0 | 4 1 0
.x .x .. .. .. .. | 0 4 | 0 0 2 2 | * * * 15 * | 0 1 0 4 0 | 0 4 0 6 0 | 0 6 0 4 0 | 4 0 1
.. .x3.o .. .. .. | 0 3 | 0 0 0 3 | * * * * 40 | 0 0 1 1 3 | 0 1 3 3 3 | 0 3 3 3 1 | 3 1 1
---------------------+------+------------+---------------+----------------+---------------+-------------+------
.. x.3o.3o. .. .. ♦ 4 0 | 6 0 0 0 | 4 0 0 0 0 | 15 * * * * | 2 0 2 0 0 | 1 1 4 0 0 | 2 2 0
ox xx .. .. .. ..&#x ♦ 2 4 | 1 4 2 2 | 0 2 2 1 0 | * 15 * * * ♦ 0 4 0 0 0 | 0 6 0 0 0 | 4 0 0
.. xx3oo .. .. ..&#x ♦ 3 3 | 3 3 0 3 | 1 0 3 0 1 | * * 40 * * | 0 1 3 0 0 | 0 3 3 0 0 | 3 1 0
.x .x3.o .. .. .. ♦ 0 6 | 0 0 3 6 | 0 0 0 3 2 | * * * 20 * | 0 1 0 3 0 | 0 3 0 3 0 | 3 0 1
.. .x3.o3.o .. .. ♦ 0 4 | 0 0 0 6 | 0 0 0 0 4 | * * * * 30 | 0 0 1 1 2 | 0 1 2 2 1 | 2 1 1
---------------------+------+------------+---------------+----------------+---------------+-------------+------
.. x.3o.3o.3o. .. ♦ 5 0 | 10 0 0 0 | 10 0 0 0 0 | 5 0 0 0 0 | 6 * * * * | 1 0 2 0 0 | 1 2 0
ox xx3oo .. .. ..&#x ♦ 3 6 | 3 6 3 6 | 1 3 6 3 2 | 0 3 2 1 0 | * 20 * * * | 0 3 0 0 0 | 3 0 0
.. xx3oo3oo .. ..&#x ♦ 4 4 | 6 4 0 6 | 4 0 6 0 4 | 1 0 4 0 1 | * * 30 * * | 0 1 2 0 0 | 2 1 0
.x .x3.o3.o .. .. ♦ 0 8 | 0 0 4 12 | 0 0 0 6 8 | 0 0 0 4 2 | * * * 15 * | 0 1 0 2 0 | 2 0 1
.. .x3.o3.o3.o .. ♦ 0 5 | 0 0 0 10 | 0 0 0 0 10 | 0 0 0 0 5 | * * * * 12 | 0 0 1 1 1 | 1 1 1
---------------------+------+------------+---------------+----------------+---------------+-------------+------
.. x.3o.3o.3o.3o. ♦ 6 0 | 15 0 0 0 | 20 0 0 0 0 | 15 0 0 0 0 | 6 0 0 0 0 | 1 * * * * | 0 2 0
ox xx3oo3oo .. ..&#x ♦ 4 8 | 6 8 4 12 | 4 4 12 6 8 | 1 6 8 4 2 | 0 4 2 1 0 | * 15 * * * | 2 0 0
.. xx3oo3oo3oo ..&#x ♦ 5 5 | 10 5 0 10 | 10 0 10 0 10 | 5 0 10 0 5 | 1 0 5 0 1 | * * 12 * * | 1 1 0
.x .x3.o3.o3.o .. ♦ 0 10 | 0 0 5 20 | 0 0 0 10 20 | 0 0 0 10 10 | 0 0 0 5 2 | * * * 6 * | 1 0 1
.. .x3.o3.o3.o3.o ♦ 0 6 | 0 0 0 15 | 0 0 0 0 20 | 0 0 0 0 15 | 0 0 0 0 6 | * * * * 2 | 0 1 1
---------------------+------+------------+---------------+----------------+---------------+-------------+------
ox xx3oo3oo3oo ..&#x ♦ 5 10 | 10 10 5 20 | 10 5 20 10 20 | 5 10 20 10 10 | 1 10 10 5 2 | 0 5 2 1 0 | 6 * *
.. xx3oo3oo3oo3oo&#x ♦ 6 6 | 15 6 0 15 | 20 0 15 0 20 | 15 0 20 0 15 | 6 0 15 0 6 | 1 0 6 0 1 | * 2 *
.x .x3.o3.o3.o3.o ♦ 0 12 | 0 0 6 30 | 0 0 0 15 40 | 0 0 0 20 30 | 0 0 0 15 12 | 0 0 0 6 2 | * * 1
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