Acronym tettut
Name (tetrahedron,truncated-tetrahedron)-duoprism
Circumradius sqrt(7)/2 = 1.322876
Confer
general polytopal classes:
segmentopeta  

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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