Acronym tetal tetdip Name tet atop dual tetdip Circumradius sqrt(7/8) = 0.935414 Confer general polytopal classes: segmentoexa

Incidence matrix according to Dynkin symbol

```xo3oo3ox ox3oo3oo&#x   → height = 1/sqrt(8) = 0.353553
(tet || dual tetdip)

o.3o.3o. o.3o.3o.    | 4  * | 3 12  0  0 | 3 24 12 18  0  0  0 | 1 12 12 36  4 18 12 0  0  0 0 | 4 18 18 24  6 12  3 0  0 0 | 6 12 12  6  4  3 0 0 | 4 3 3 1 0
.o3.o3.o .o3.o3.o    | * 16 | 0  3  3  3 | 0  3  6  9  3  9  3 | 0  1  3  9  3 18  9 1  9  9 1 | 1  3  9  9  9 18  3 3  9 3 | 3  3  9  3  9  6 3 3 | 3 1 3 3 1
---------------------+------+------------+---------------------+-------------------------------+----------------------------+----------------------+----------
x. .. .. .. .. ..    | 2  0 | 6  *  *  * | 2  8  0  0  0  0  0 | 1  8  4 12  0  0  0 0  0  0 0 | 4 12  6  8  0  0  0 0  0 0 | 6  8  4  2  0  0 0 0 | 4 2 1 0 0
oo3oo3oo oo3oo3oo&#x | 1  1 | * 48  *  * | 0  2  2  3  0  0  0 | 0  1  2  6  1  6  3 0  0  0 0 | 1  3  6  6  3  6  1 0  0 0 | 3  3  6  2  3  2 0 0 | 3 1 2 1 0
.. .. .x .. .. ..    | 0  2 | *  * 24  * | 0  0  2  0  2  3  0 | 0  0  1  0  2  6  0 1  6  3 0 | 1  0  3  0  6  6  0 3  6 1 | 3  0  3  0  6  2 3 2 | 3 0 1 2 1
.. .. .. .x .. ..    | 0  2 | *  *  * 24 | 0  0  0  3  0  3  2 | 0  0  0  3  0  6  6 0  3  6 1 | 0  1  3  6  3 12  3 1  6 3 | 1  2  6  3  6  6 2 3 | 2 1 3 3 1
---------------------+------+------------+---------------------+-------------------------------+----------------------------+----------------------+----------
x.3o. .. .. .. ..    | 3  0 | 3  0  0  0 | 4  *  *  *  *  *  * | 1  4  0  0  0  0  0 0  0  0 0 | 4  6  0  0  0  0  0 0  0 0 | 6  4  0  0  0  0 0 0 | 4 1 0 0 0
xo .. .. .. .. ..&#x | 2  1 | 1  2  0  0 | * 48  *  *  *  *  * | 0  1  1  3  0  0  0 0  0  0 0 | 1  3  3  3  0  0  0 0  0 0 | 3  3  3  1  0  0 0 0 | 3 1 1 0 0
.. .. ox .. .. ..&#x | 1  2 | 0  2  1  0 | *  * 48  *  *  *  * | 0  0  1  0  1  3  0 0  0  0 0 | 1  0  3  0  3  3  0 0  0 0 | 3  0  3  0  3  1 0 0 | 3 0 1 1 0
.. .. .. ox .. ..&#x | 1  2 | 0  2  0  1 | *  *  * 72  *  *  * | 0  0  0  2  0  2  2 0  0  0 0 | 0  1  2  4  1  4  1 0  0 0 | 1  2  4  2  2  2 0 0 | 2 1 2 1 0
.. .o3.x .. .. ..    | 0  3 | 0  0  3  0 | *  *  *  * 16  *  * | 0  0  0  0  1  0  0 1  3  0 0 | 1  0  0  0  3  0  0 3  3 0 | 3  0  0  0  3  0 3 1 | 3 0 0 1 1
.. .. .x .x .. ..    | 0  4 | 0  0  2  2 | *  *  *  *  * 36  * | 0  0  0  0  0  2  0 0  2  2 0 | 0  0  1  0  2  4  0 1  4 1 | 1  0  2  0  4  2 2 2 | 2 0 1 2 1
.. .. .. .x3.o ..    | 0  3 | 0  0  0  3 | *  *  *  *  *  * 16 | 0  0  0  0  0  0  3 0  0  3 1 | 0  0  0  3  0  6  3 0  3 3 | 0  1  3  3  3  6 1 3 | 1 1 3 3 1
---------------------+------+------------+---------------------+-------------------------------+----------------------------+----------------------+----------
x.3o.3o. .. .. ..    ♦ 4  0 | 6  0  0  0 | 4  0  0  0  0  0  0 | 1  *  *  *  *  *  * *  *  * * | 4  0  0  0  0  0  0 0  0 0 | 6  0  0  0  0  0 0 0 | 4 0 0 0 0
xo3oo .. .. .. ..&#x ♦ 3  1 | 3  3  0  0 | 1  3  0  0  0  0  0 | * 16  *  *  *  *  * *  *  * * | 1  3  0  0  0  0  0 0  0 0 | 3  3  0  0  0  0 0 0 | 3 1 0 0 0
xo .. ox .. .. ..&#x ♦ 2  2 | 1  4  1  0 | 0  2  2  0  0  0  0 | *  * 24  *  *  *  * *  *  * * | 1  0  3  0  0  0  0 0  0 0 | 3  0  3  0  0  0 0 0 | 3 0 1 0 0
xo .. .. ox .. ..&#x ♦ 2  2 | 1  4  0  1 | 0  2  0  2  0  0  0 | *  *  * 72  *  *  * *  *  * * | 0  1  1  2  0  0  0 0  0 0 | 1  2  2  1  0  0 0 0 | 2 1 1 0 0
.. oo3ox .. .. ..&#x ♦ 1  3 | 0  3  3  0 | 0  0  3  0  1  0  0 | *  *  *  * 16  *  * *  *  * * | 1  0  0  0  3  0  0 0  0 0 | 3  0  0  0  3  0 0 0 | 3 0 0 1 0
.. .. ox ox .. ..&#x ♦ 1  4 | 0  4  2  2 | 0  0  2  2  0  1  0 | *  *  *  *  * 72  * *  *  * * | 0  0  1  0  1  2  0 0  0 0 | 1  0  2  0  2  1 0 0 | 2 0 1 1 0
.. .. .. ox3oo ..&#x ♦ 1  3 | 0  3  0  3 | 0  0  0  3  0  0  1 | *  *  *  *  *  * 48 *  *  * * | 0  0  0  2  0  2  1 0  0 0 | 0  1  2  2  1  2 0 0 | 1 1 2 1 0
.o3.o3.x .. .. ..    ♦ 0  4 | 0  0  6  0 | 0  0  0  0  4  0  0 | *  *  *  *  *  *  * 4  *  * * | 1  0  0  0  0  0  0 3  0 0 | 3  0  0  0  0  0 3 0 | 3 0 0 0 1
.. .o3.x .x .. ..    ♦ 0  6 | 0  0  6  3 | 0  0  0  0  2  3  0 | *  *  *  *  *  *  * * 24  * * | 0  0  0  0  1  0  0 1  2 0 | 1  0  0  0  2  0 2 1 | 2 0 0 1 1
.. .. .x .x3.o ..    ♦ 0  6 | 0  0  3  6 | 0  0  0  0  0  3  2 | *  *  *  *  *  *  * *  * 24 * | 0  0  0  0  0  2  0 0  2 1 | 0  0  1  0  2  2 1 2 | 1 0 1 2 1
.. .. .. .x3.o3.o    ♦ 0  4 | 0  0  0  6 | 0  0  0  0  0  0  4 | *  *  *  *  *  *  * *  *  * 4 | 0  0  0  0  0  0  3 0  0 3 | 0  0  0  3  0  6 0 3 | 0 1 3 3 1
---------------------+------+------------+---------------------+-------------------------------+----------------------------+----------------------+----------
xo3oo3ox .. .. ..&#x ♦ 4  4 | 6 12  6  0 | 4 12 12  0  4  0  0 | 1  4  6  0  4  0  0 1  0  0 0 | 4  *  *  *  *  *  * *  * * | 3  0  0  0  0  0 0 0 | 3 0 0 0 0
xo3oo .. ox .. ..&#x ♦ 3  2 | 3  6  0  1 | 1  6  0  3  0  0  0 | 0  2  0  3  0  0  0 0  0  0 0 | * 24  *  *  *  *  * *  * * | 1  2  0  0  0  0 0 0 | 2 1 0 0 0
xo .. ox ox .. ..&#x ♦ 2  4 | 1  8  2  2 | 0  4  4  4  0  1  0 | 0  0  2  2  0  2  0 0  0  0 0 | *  * 36  *  *  *  * *  * * | 1  0  2  0  0  0 0 0 | 2 0 1 0 0
xo .. .. ox3oo ..&#x ♦ 2  3 | 1  6  0  3 | 0  3  0  6  0  0  1 | 0  0  0  3  0  0  2 0  0  0 0 | *  *  * 48  *  *  * *  * * | 0  1  1  1  0  0 0 0 | 1 1 1 0 0
.. oo3ox ox .. ..&#x ♦ 1  6 | 0  6  6  3 | 0  0  6  3  2  3  0 | 0  0  0  0  2  3  0 0  1  0 0 | *  *  *  * 24  *  * *  * * | 1  0  0  0  2  0 0 0 | 2 0 0 1 0
.. .. ox ox3oo ..&#x ♦ 1  6 | 0  6  3  6 | 0  0  3  6  0  3  2 | 0  0  0  0  0  3  2 0  0  1 0 | *  *  *  *  * 48  * *  * * | 0  0  1  0  1  1 0 0 | 1 0 1 1 0
.. .. .. ox3oo3oo&#x ♦ 1  4 | 0  4  0  6 | 0  0  0  6  0  0  4 | 0  0  0  0  0  0  4 0  0  0 1 | *  *  *  *  *  * 12 *  * * | 0  0  0  2  0  2 0 0 | 0 1 2 1 0
.o3.o3.x .x .. ..    ♦ 0  8 | 0  0 12  4 | 0  0  0  0  8  6  0 | 0  0  0  0  0  0  0 2  4  0 0 | *  *  *  *  *  *  * 6  * * | 1  0  0  0  0  0 2 0 | 2 0 0 0 1
.. .o3.x .x3.o ..    ♦ 0  9 | 0  0  9  9 | 0  0  0  0  3  9  3 | 0  0  0  0  0  0  0 0  3  3 0 | *  *  *  *  *  *  * * 16 * | 0  0  0  0  1  0 1 1 | 1 0 0 1 1
.. .. .x .x3.o3.o    ♦ 0  8 | 0  0  4 12 | 0  0  0  0  0  6  8 | 0  0  0  0  0  0  0 0  0  4 2 | *  *  *  *  *  *  * *  * 6 | 0  0  0  0  0  2 0 2 | 0 0 1 2 1
---------------------+------+------------+---------------------+-------------------------------+----------------------------+----------------------+----------
xo3oo3ox ox .. ..&#x ♦ 4  8 | 6 24 12  4 | 4 24 24 12  8  6  0 | 1  8 12 12  8 12  0 2  4  0 0 | 2  4  6  0  4  0  0 1  0 0 | 6  *  *  *  *  * * * | 2 0 0 0 0
xo3oo .. ox3oo ..&#x ♦ 3  3 | 3  9  0  3 | 1  9  0  9  0  0  1 | 0  3  0  9  0  0  3 0  0  0 0 | 0  3  0  3  0  0  0 0  0 0 | * 16  *  *  *  * * * | 1 1 0 0 0
xo .. ox ox3oo ..&#x ♦ 2  6 | 1 12  3  6 | 0  6  6 12  0  3  2 | 0  0  3  6  0  6  4 0  0  1 0 | 0  0  3  2  0  2  0 0  0 0 | *  * 24  *  *  * * * | 1 0 1 0 0
xo .. .. ox3oo3oo&#x ♦ 2  4 | 1  8  0  6 | 0  4  0 12  0  0  4 | 0  0  0  6  0  0  8 0  0  0 1 | 0  0  0  4  0  0  2 0  0 0 | *  *  * 12  *  * * * | 0 1 1 0 0
.. oo3ox ox3oo ..&#x ♦ 1  9 | 0  9  9  9 | 0  0  9  9  3  9  3 | 0  0  0  0  3  9  3 0  3  3 0 | 0  0  0  0  3  3  0 0  1 0 | *  *  *  * 16  * * * | 1 0 0 1 0
.. .. ox ox3oo3oo&#x ♦ 1  8 | 0  8  4 12 | 0  0  4 12  0  6  8 | 0  0  0  0  0  6  8 0  0  4 2 | 0  0  0  0  0  4  2 0  0 1 | *  *  *  *  * 12 * * | 0 0 1 1 0
.o3.o3.x .x3.o ..    ♦ 0 12 | 0  0 18 12 | 0  0  0  0 12 18  4 | 0  0  0  0  0  0  0 3 12  6 0 | 0  0  0  0  0  0  0 3  4 0 | *  *  *  *  *  * 4 * | 1 0 0 0 1
.. .o3.x .x3.o3.o    ♦ 0 12 | 0  0 12 18 | 0  0  0  0  4 18 12 | 0  0  0  0  0  0  0 0  6 12 3 | 0  0  0  0  0  0  0 0  4 3 | *  *  *  *  *  * * 4 | 0 0 0 1 1
---------------------+------+------------+---------------------+-------------------------------+----------------------------+----------------------+----------
xo3oo3ox ox3oo ..&#x ♦ 4 12 | 6 36 18 12 | 4 36 36 36 12 18  4 | 1 12 18 36 12 36 12 3 12  6 0 | 3 12 18 12 12 12  0 3  4 0 | 3  4  6  0  4  0 1 0 | 4 * * * *
xo3oo .. ox3oo3oo&#x ♦ 3  4 | 3 12  0  6 | 1 12  0 18  0  0  4 | 0  4  0 18  0  0 12 0  0  0 1 | 0  6  0 12  0  0  3 0  0 0 | 0  4  0  3  0  0 0 0 | * 4 * * *
xo .. ox ox3oo3oo&#x ♦ 2  8 | 1 16  4 12 | 0  8  8 24  0  6  8 | 0  0  4 12  0 12 16 0  0  4 2 | 0  0  6  8  0  8  4 0  0 1 | 0  0  4  2  0  2 0 0 | * * 6 * *
.. oo3ox ox3oo3oo&#x ♦ 1 12 | 0 12 12 18 | 0  0 12 18  4 18 12 | 0  0  0  0  4 18 12 0  6 12 3 | 0  0  0  0  6 12  3 0  4 3 | 0  0  0  0  4  3 0 1 | * * * 4 *
.o3.o3.x .x3.o3.o    ♦ 0 16 | 0  0 24 24 | 0  0  0  0 16 36 16 | 0  0  0  0  0  0  0 4 24 24 4 | 0  0  0  0  0  0  0 6 16 6 | 0  0  0  0  0  0 4 4 | * * * * 1
```