Acronym | tettut |
Name | (tetrahedron,truncated-tetrahedron)-duoprism |
Circumradius | sqrt(7)/2 = 1.322876 |
Volume | 23/72 = 0.319444 |
Face vector | 48, 144, 188, 136, 56, 12 |
Confer |
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Incidence matrix according to Dynkin symbol
x3x3o x3o3o o3o3o o3o3o | 48 | 1 2 3 | 2 3 1 6 3 | 1 6 3 3 6 1 | 3 6 1 3 2 | 3 2 1 ------------+----+----------+----------------+------------------+--------------+------ x . . . . . | 2 | 24 * * | 2 3 0 0 0 | 1 6 3 0 0 0 | 3 6 1 0 0 | 3 2 0 . x . . . . | 2 | * 48 * | 1 0 1 3 0 | 1 3 0 3 3 0 | 3 3 0 3 1 | 3 1 1 . . . x . . | 2 | * * 72 | 0 1 0 2 2 | 0 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1 ------------+----+----------+----------------+------------------+--------------+------ x3x . . . . | 6 | 3 3 0 | 16 * * * * | 1 3 0 0 0 0 | 3 3 0 0 0 | 3 1 0 x . . x . . | 4 | 2 0 2 | * 36 * * * | 0 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0 . x3o . . . | 3 | 0 3 0 | * * 16 * * | 1 0 0 3 0 0 | 3 0 0 3 0 | 3 0 1 . x . x . . | 4 | 0 2 2 | * * * 72 * | 0 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1 . . . x3o . | 3 | 0 0 3 | * * * * 48 | 0 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1 ------------+----+----------+----------------+------------------+--------------+------ x3x3o . . . ♦ 12 | 6 12 0 | 4 0 4 0 0 | 4 * * * * * | 3 0 0 0 0 | 3 0 0 x3x . x . . ♦ 12 | 6 6 6 | 2 3 0 3 0 | * 24 * * * * | 1 2 0 0 0 | 2 1 0 x . . x3o . ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 24 * * * | 0 2 1 0 0 | 1 2 0 . x3o x . . ♦ 6 | 0 6 3 | 0 0 2 3 0 | * * * 24 * * | 1 0 0 2 0 | 2 0 1 . x . x3o . ♦ 6 | 0 3 6 | 0 0 0 3 2 | * * * * 48 * | 0 1 0 1 1 | 1 1 1 . . . x3o3o ♦ 4 | 0 0 6 | 0 0 0 0 4 | * * * * * 12 | 0 0 1 0 2 | 0 2 1 ------------+----+----------+----------------+------------------+--------------+------ x3x3o x . . ♦ 24 | 12 24 12 | 8 6 8 12 0 | 2 4 0 4 0 0 | 6 * * * * | 2 0 0 x3x . x3o . ♦ 18 | 9 9 18 | 3 9 0 9 6 | 0 3 3 0 3 0 | * 16 * * * | 1 1 0 x . . x3o3o ♦ 8 | 4 0 12 | 0 6 0 0 8 | 0 0 4 0 0 2 | * * 6 * * | 0 2 0 . x3o x3o . ♦ 9 | 0 9 9 | 0 0 3 9 3 | 0 0 0 3 3 0 | * * * 16 * | 1 0 1 . x . x3o3o ♦ 8 | 0 4 12 | 0 0 0 6 8 | 0 0 0 0 4 2 | * * * * 12 | 0 1 1 ------------+----+----------+----------------+------------------+--------------+------ x3x3o x3o . ♦ 36 | 18 36 36 | 12 18 12 36 12 | 3 12 6 12 12 0 | 3 4 0 4 0 | 4 * * x3x . x3o3o ♦ 24 | 12 12 36 | 4 18 0 18 24 | 0 6 12 0 12 6 | 0 4 3 0 3 | * 4 * . x3o x3o3o ♦ 12 | 0 12 18 | 0 0 4 18 12 | 0 0 0 6 12 3 | 0 0 0 4 3 | * * 4
xx3xx3oo ox3oo&#x → height = sqrt(2/3) = 0.816497
(tut || tratut)
o.3o.3o. o.3o. | 12 * | 1 2 3 0 0 0 | 2 1 3 6 3 0 0 0 0 0 | 1 6 3 3 6 1 0 0 0 0 0 | 3 6 1 3 2 0 0 0 | 3 2 1 0
.o3.o3.o .o3.o | * 36 | 0 0 1 1 2 2 | 0 0 1 2 2 2 2 1 4 1 | 0 2 2 1 4 1 1 4 1 2 2 | 1 4 1 2 2 2 2 1 | 2 2 1 1
------------------+-------+------------------+-----------------------------+-------------------------------+--------------------+--------
x. .. .. .. .. | 2 0 | 6 * * * * * | 2 0 3 0 0 0 0 0 0 0 | 1 6 3 0 0 0 0 0 0 0 0 | 3 6 1 0 0 0 0 0 | 3 2 0 0
.. x. .. .. .. | 2 0 | * 12 * * * * | 1 1 0 3 0 0 0 0 0 0 | 1 3 0 3 3 0 0 0 0 0 0 | 3 3 0 3 1 0 0 0 | 3 1 1 0
oo3oo3oo oo3oo&#x | 1 1 | * * 36 * * * | 0 0 1 2 2 0 0 0 0 0 | 0 2 2 1 4 1 0 0 0 0 0 | 1 4 1 2 2 0 0 0 | 2 2 1 0
.x .. .. .. .. | 0 2 | * * * 18 * * | 0 0 1 0 0 2 2 0 0 0 | 0 2 2 0 0 0 1 4 1 0 0 | 1 4 1 0 0 2 2 0 | 2 2 0 1
.. .x .. .. .. | 0 2 | * * * * 36 * | 0 0 0 1 0 1 0 1 2 0 | 0 1 0 1 2 0 1 2 0 2 1 | 1 2 0 2 1 2 1 1 | 2 1 1 1
.. .. .. .x .. | 0 2 | * * * * * 36 | 0 0 0 0 1 0 1 0 2 1 | 0 0 1 0 2 1 0 2 1 1 2 | 0 2 1 1 2 1 2 1 | 1 2 1 1
------------------+-------+------------------+-----------------------------+-------------------------------+--------------------+--------
x.3x. .. .. .. | 6 0 | 3 3 0 0 0 0 | 4 * * * * * * * * * | 1 3 0 0 0 0 0 0 0 0 0 | 3 3 0 0 0 0 0 0 | 3 1 0 0
.. x.3o. .. .. | 3 0 | 0 3 0 0 0 0 | * 4 * * * * * * * * | 1 0 0 3 0 0 0 0 0 0 0 | 3 0 0 3 0 0 0 0 | 3 0 1 0
xx .. .. .. ..&#x | 2 2 | 1 0 2 1 0 0 | * * 18 * * * * * * * | 0 2 2 0 0 0 0 0 0 0 0 | 1 4 1 0 0 0 0 0 | 2 2 0 0
.. xx .. .. ..&#x | 2 2 | 0 1 2 0 1 0 | * * * 36 * * * * * * | 0 1 0 1 2 0 0 0 0 0 0 | 1 2 0 2 1 0 0 0 | 2 1 1 0
.. .. .. ox ..&#x | 1 2 | 0 0 2 0 0 1 | * * * * 36 * * * * * | 0 0 1 0 2 1 0 0 0 0 0 | 0 2 1 1 2 0 0 0 | 1 2 1 0
.x3.x .. .. .. | 0 6 | 0 0 0 3 3 0 | * * * * * 12 * * * * | 0 1 0 0 0 0 1 2 0 0 0 | 1 2 0 0 0 2 1 0 | 2 1 0 1
.x .. .. .x .. | 0 4 | 0 0 0 2 0 2 | * * * * * * 18 * * * | 0 0 1 0 0 0 0 2 1 0 0 | 0 2 1 0 0 1 2 0 | 1 2 0 1
.. .x3.o .. .. | 0 3 | 0 0 0 0 3 0 | * * * * * * * 12 * * | 0 0 0 1 0 0 1 0 0 2 0 | 1 0 0 2 0 2 0 1 | 2 0 1 1
.. .x .. .x .. | 0 4 | 0 0 0 0 2 2 | * * * * * * * * 36 * | 0 0 0 0 1 0 0 1 0 1 1 | 0 1 0 1 1 1 1 1 | 1 1 1 1
.. .. .. .x3.o | 0 3 | 0 0 0 0 0 3 | * * * * * * * * * 12 | 0 0 0 0 0 1 0 0 1 0 2 | 0 0 1 0 2 0 2 1 | 0 2 1 1
------------------+-------+------------------+-----------------------------+-------------------------------+--------------------+--------
x.3x.3o. .. .. ♦ 12 0 | 6 12 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * | 3 0 0 0 0 0 0 0 | 3 0 0 0
xx3xx .. .. ..&#x ♦ 6 6 | 3 3 6 3 3 0 | 1 0 3 3 0 1 0 0 0 0 | * 12 * * * * * * * * * | 1 2 0 0 0 0 0 0 | 2 1 0 0
xx .. .. ox ..&#x ♦ 2 4 | 1 0 4 2 0 2 | 0 0 2 0 2 0 1 0 0 0 | * * 18 * * * * * * * * | 0 2 1 0 0 0 0 0 | 1 2 0 0
.. xx3oo .. ..&#x ♦ 3 3 | 0 3 3 0 3 0 | 0 1 0 3 0 0 0 1 0 0 | * * * 12 * * * * * * * | 1 0 0 2 0 0 0 0 | 2 0 1 0
.. xx .. ox ..&#x ♦ 2 4 | 0 1 4 0 2 2 | 0 0 0 2 2 0 0 0 1 0 | * * * * 36 * * * * * * | 0 1 0 1 1 0 0 0 | 1 1 1 0
.. .. .. ox3oo&#x ♦ 1 3 | 0 0 3 0 0 3 | 0 0 0 0 3 0 0 0 0 1 | * * * * * 12 * * * * * | 0 0 1 0 2 0 0 0 | 0 2 1 0
.x3.x3.o .. .. ♦ 0 12 | 0 0 0 6 12 0 | 0 0 0 0 0 4 0 4 0 0 | * * * * * * 3 * * * * | 1 0 0 0 0 2 0 0 | 2 0 0 1
.x3.x .. .x .. ♦ 0 12 | 0 0 0 6 6 6 | 0 0 0 0 0 2 3 0 3 0 | * * * * * * * 12 * * * | 0 1 0 0 0 1 1 0 | 1 1 0 1
.x .. .. .x3.o ♦ 0 6 | 0 0 0 3 0 6 | 0 0 0 0 0 0 3 0 0 2 | * * * * * * * * 6 * * | 0 0 1 0 0 0 2 0 | 0 2 0 1
.. .x3.o .x .. ♦ 0 6 | 0 0 0 0 6 3 | 0 0 0 0 0 0 0 2 3 0 | * * * * * * * * * 12 * | 0 0 0 1 0 1 0 1 | 1 0 1 1
.. .x .. .x3.o ♦ 0 6 | 0 0 0 0 3 6 | 0 0 0 0 0 0 0 0 3 2 | * * * * * * * * * * 12 | 0 0 0 0 1 0 1 1 | 0 1 1 1
------------------+-------+------------------+-----------------------------+-------------------------------+--------------------+--------
xx3xx3oo .. ..&#x ♦ 12 12 | 6 12 12 6 12 0 | 4 4 6 12 0 4 0 4 0 0 | 1 4 0 4 0 0 1 0 0 0 0 | 3 * * * * * * * | 2 0 0 0
xx3xx .. ox ..&#x ♦ 6 12 | 3 3 12 6 6 6 | 1 0 6 6 6 2 3 0 3 0 | 0 2 3 0 3 0 0 1 0 0 0 | * 12 * * * * * * | 1 1 0 0
xx .. .. ox3oo&#x ♦ 2 6 | 1 0 6 3 0 6 | 0 0 3 0 6 0 3 0 0 2 | 0 0 3 0 0 2 0 0 1 0 0 | * * 6 * * * * * | 0 2 0 0
.. xx3oo ox ..&#x ♦ 3 6 | 0 3 6 0 6 3 | 0 1 0 6 3 0 0 2 3 0 | 0 0 0 2 3 0 0 0 0 1 0 | * * * 12 * * * * | 1 0 1 0
.. xx .. ox3oo&#x ♦ 2 6 | 0 1 6 0 3 6 | 0 0 0 3 6 0 0 0 3 2 | 0 0 0 0 3 2 0 0 0 0 1 | * * * * 12 * * * | 0 1 1 0
.x3.x3.o .x .. ♦ 0 24 | 0 0 0 12 24 12 | 0 0 0 0 0 8 6 8 12 0 | 0 0 0 0 0 0 2 4 0 4 0 | * * * * * 3 * * | 1 0 0 1
.x3.x .. .x3.o ♦ 0 18 | 0 0 0 9 9 18 | 0 0 0 0 0 3 9 0 9 6 | 0 0 0 0 0 0 0 3 3 0 3 | * * * * * * 4 * | 0 1 0 1
.. .x3.o .x3.o ♦ 0 9 | 0 0 0 0 9 9 | 0 0 0 0 0 0 0 3 9 3 | 0 0 0 0 0 0 0 0 0 3 3 | * * * * * * * 4 | 0 0 1 1
------------------+-------+------------------+-----------------------------+-------------------------------+--------------------+--------
xx3xx3oo ox ..&#x ♦ 12 24 | 6 12 24 12 24 12 | 4 4 12 24 12 8 6 8 12 0 | 1 8 6 8 12 0 2 4 0 4 0 | 2 1 0 4 0 1 0 0 | 3 * * *
xx3xx .. ox3oo&#x ♦ 6 18 | 3 3 18 9 9 18 | 1 0 9 9 18 3 9 0 9 6 | 0 3 9 0 9 6 0 3 3 0 3 | 0 3 3 0 3 0 1 0 | * 4 * *
.. xx3oo ox3oo&#x ♦ 3 9 | 0 3 9 0 9 9 | 0 1 0 9 9 0 0 3 9 3 | 0 0 0 3 9 3 0 0 0 3 3 | 0 0 0 3 3 0 0 1 | * * 4 *
.x3.x3.o .x3.o ♦ 0 36 | 0 0 0 18 36 36 | 0 0 0 0 0 12 18 12 36 12 | 0 0 0 0 0 0 3 12 6 12 12 | 0 0 0 0 0 3 4 4 | * * * 1
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