Acronym triddippy Name trigonal-duoprismatic pyramid,vertex pyramid of the dodecateron Circumradius sqrt(3)/2 = 0.866025 Confer uniform relative: dot   general polytopal classes: segmentotera   lace simplices

Incidence matrix according to Dynkin symbol

```ox3oo ox3oo&#x   → height = 1/sqrt(3) = 0.577350
(pt || triddip)

o.3o. o.3o.    | 1 * ♦ 9 0 0 | 9 9 0 0 0 | 3 9 3 0 0 | 3 3 0
.o3.o .o3.o    | * 9 | 1 2 2 | 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1
---------------+-----+-------+-----------+-----------+------
oo3oo oo3oo&#x | 1 1 | 9 * * ♦ 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0
.x .. .. ..    | 0 2 | * 9 * | 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1
.. .. .x ..    | 0 2 | * * 9 | 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1
---------------+-----+-------+-----------+-----------+------
ox .. .. ..&#x | 1 2 | 2 1 0 | 9 * * * * | 1 2 0 0 0 | 2 1 0
.. .. ox ..&#x | 1 2 | 2 0 1 | * 9 * * * | 0 2 1 0 0 | 1 2 0
.x3.o .. ..    | 0 3 | 0 3 0 | * * 3 * * | 1 0 0 2 0 | 2 0 1
.x .. .x ..    | 0 4 | 0 2 2 | * * * 9 * | 0 1 0 1 1 | 1 1 1
.. .. .x3.o    | 0 3 | 0 0 3 | * * * * 3 | 0 0 1 0 2 | 0 2 1
---------------+-----+-------+-----------+-----------+------
ox3oo .. ..&#x ♦ 1 3 | 3 3 0 | 3 0 1 0 0 | 3 * * * * | 2 0 0
ox .. ox ..&#x ♦ 1 4 | 4 2 2 | 2 2 0 1 0 | * 9 * * * | 1 1 0
.. .. ox3oo&#x ♦ 1 3 | 3 0 3 | 0 3 0 0 1 | * * 3 * * | 0 2 0
.x3.o .x ..    ♦ 0 6 | 0 6 3 | 0 0 2 3 0 | * * * 3 * | 1 0 1
.x .. .x3.o    ♦ 0 6 | 0 3 6 | 0 0 0 3 2 | * * * * 3 | 0 1 1
---------------+-----+-------+-----------+-----------+------
ox3oo ox ..&#x ♦ 1 6 | 6 6 3 | 6 3 2 3 0 | 2 3 0 1 0 | 3 * *
ox .. ox3oo&#x ♦ 1 6 | 6 3 6 | 3 6 0 3 2 | 0 3 2 0 1 | * 3 *
.x3.o .x3.o    ♦ 0 9 | 0 9 9 | 0 0 3 9 3 | 0 0 0 3 3 | * * 1
```
```or
o.3o. o.3o.      | 1 * ♦ 9  0 | 18 0 0 | 6 9 0 | 6 0
.o3.o .o3.o      | * 9 | 1  4 |  4 2 4 | 2 4 4 | 4 1
-----------------+-----+------+--------+-------+----
oo3oo oo3oo&#x   | 1 1 | 9  * ♦  4 0 0 | 2 4 0 | 4 0
.x .. .. ..    & | 0 2 | * 18 |  1 1 2 | 1 2 3 | 3 1
-----------------+-----+------+--------+-------+----
ox .. .. ..&#x & | 1 2 | 2  1 | 18 * * | 1 2 0 | 3 0
.x3.o .. ..    & | 0 3 | 0  3 |  * 6 * | 1 0 2 | 2 1
.x .. .x ..      | 0 4 | 0  4 |  * * 9 | 0 1 2 | 2 1
-----------------+-----+------+--------+-------+----
ox3oo .. ..&#x & ♦ 1 3 | 3  3 |  3 1 0 | 6 * * | 2 0
ox .. ox ..&#x   ♦ 1 4 | 4  4 |  4 0 1 | * 9 * | 2 0
.x3.o .x ..    & ♦ 0 6 | 0  9 |  0 2 3 | * * 6 | 1 1
-----------------+-----+------+--------+-------+----
ox3oo ox ..&#x & ♦ 1 6 | 6  9 |  9 2 3 | 2 3 1 | 6 *
.x3.o .x3.o      ♦ 0 9 | 0 18 |  0 6 9 | 0 0 6 | * 1
```

```oox ooo3oxx&#x   → height(1,2) = sqrt(2/3) = 0.816497
height(1,3) = sqrt(5/12) = 0.645497
height(2,3) = sqrt(3)/2 = 0.866025

o.. o..3o..    | 1 * * ♦ 3 6 0 0 0 0 | 3 3 6 6 0 0 0 0 0 | 1 3 2 3 6 0 0 0 | 1 3 2 0
.o. .o.3.o.    | * 3 * | 1 0 2 2 0 0 | 2 0 0 2 1 1 4 0 0 | 1 0 0 1 4 2 2 0 | 0 2 2 1
..o ..o3..o    | * * 6 | 0 1 0 1 1 2 | 0 1 2 1 0 1 2 2 1 | 0 2 1 1 2 2 1 1 | 1 2 1 1
---------------+-------+-------------+-------------------+-----------------+--------
oo. oo.3oo.&#x | 1 1 0 | 3 * * * * * ♦ 2 0 0 2 0 0 0 0 0 | 1 0 0 1 4 0 0 0 | 0 2 2 0
o.o o.o3o.o&#x | 1 0 1 | * 6 * * * * ♦ 0 1 2 2 0 0 0 0 0 | 0 2 1 1 2 0 0 0 | 1 2 1 0
... ... .x.    | 0 2 0 | * * 3 * * * | 1 0 0 0 1 0 2 0 0 | 1 0 0 0 2 1 2 0 | 0 1 2 1
.oo .oo3.oo&#x | 0 1 1 | * * * 6 * * | 0 0 0 1 0 1 2 0 0 | 0 0 0 1 2 2 1 0 | 0 2 1 1
..x ... ...    | 0 0 2 | * * * * 3 * | 0 1 0 0 0 1 0 2 0 | 0 2 0 1 0 2 0 1 | 1 2 0 1
... ... ..x    | 0 0 2 | * * * * * 6 | 0 0 1 0 0 0 1 1 1 | 0 1 1 0 1 1 1 1 | 1 1 1 1
---------------+-------+-------------+-------------------+-----------------+--------
... ... ox.&#x | 1 2 0 | 2 0 1 0 0 0 | 3 * * * * * * * * | 1 0 0 0 2 0 0 0 | 0 1 2 0
o.x ... ...&#x | 1 0 2 | 0 2 0 0 1 0 | * 3 * * * * * * * | 0 2 0 1 0 0 0 0 | 1 2 0 0
... ... o.x&#x | 1 0 2 | 0 2 0 0 0 1 | * * 6 * * * * * * | 0 1 1 0 1 0 0 0 | 1 1 1 0
ooo ooo3ooo&#x | 1 1 1 | 1 1 0 1 0 0 | * * * 6 * * * * * | 0 0 0 1 2 0 0 0 | 0 2 1 0
... .o.3.x.    | 0 3 0 | 0 0 3 0 0 0 | * * * * 1 * * * * | 1 0 0 0 0 0 2 0 | 0 0 2 1
.ox ... ...&#x | 0 1 2 | 0 0 0 2 1 0 | * * * * * 3 * * * | 0 0 0 1 0 2 0 0 | 0 2 0 1
... ... .xx&#x | 0 2 2 | 0 0 1 2 0 1 | * * * * * * 6 * * | 0 0 0 0 1 1 1 0 | 0 1 1 1
..x ... ..x    | 0 0 4 | 0 0 0 0 2 2 | * * * * * * * 3 * | 0 1 0 0 0 1 0 1 | 1 1 0 1
... ..o3..x    | 0 0 3 | 0 0 0 0 0 3 | * * * * * * * * 2 | 0 0 1 0 0 0 1 1 | 1 0 1 1
---------------+-------+-------------+-------------------+-----------------+--------
... oo.3ox.&#x ♦ 1 3 0 | 3 0 3 0 0 0 | 3 0 0 0 1 0 0 0 0 | 1 * * * * * * * | 0 0 2 0
o.x ... o.x&#x ♦ 1 0 4 | 0 4 0 0 2 2 | 0 2 2 0 0 0 0 1 0 | * 3 * * * * * * | 1 1 0 0
... o.o3o.x&#x ♦ 1 0 3 | 0 3 0 0 0 3 | 0 0 3 0 0 0 0 0 1 | * * 2 * * * * * | 1 0 1 0
oox ... ...&#x ♦ 1 1 2 | 1 2 0 2 1 0 | 0 1 0 2 0 1 0 0 0 | * * * 3 * * * * | 0 2 0 0
... ... oxx&#x ♦ 1 2 2 | 2 2 1 2 0 1 | 1 0 1 2 0 0 1 0 0 | * * * * 6 * * * | 0 1 1 0
.ox ... .xx&#x ♦ 0 2 4 | 0 0 1 4 2 2 | 0 0 0 0 0 2 2 1 0 | * * * * * 3 * * | 0 1 0 1
... .oo3.xx&#x ♦ 0 3 3 | 0 0 3 3 0 3 | 0 0 0 0 1 0 3 0 1 | * * * * * * 2 * | 0 0 1 1
..x ..o3..x    ♦ 0 0 6 | 0 0 0 0 3 6 | 0 0 0 0 0 0 0 3 2 | * * * * * * * 1 | 1 0 0 1
---------------+-------+-------------+-------------------+-----------------+--------
o.x o.o3o.x&#x ♦ 1 0 6 | 0 6 0 0 3 6 | 0 3 6 0 0 0 0 3 2 | 0 3 2 0 0 0 0 1 | 1 * * *
oox ... oxx&#x ♦ 1 2 4 | 2 4 1 4 2 2 | 1 2 2 4 0 2 2 1 0 | 0 1 0 2 2 1 0 0 | * 3 * *
... ooo3oxx&#x ♦ 1 3 3 | 3 3 3 3 0 3 | 3 0 3 3 1 0 3 0 1 | 1 0 1 0 3 0 1 0 | * * 2 *
.ox .oo3.xx&#x ♦ 0 3 6 | 0 0 3 6 3 6 | 0 0 0 0 1 3 6 3 2 | 0 0 0 0 0 3 2 1 | * * * 1
```

```oooo3oxxx&#x   → height(1,2) = height(1,3) = height(1,4) = sqrt(2/3) = 0.816497
height(2,3) = height(2,4) = height(3,4) = 1

o...3o...    | 1 * * * ♦ 3 3 3 0 0 0 0 0 0 | 3 3 3 3 3 3 0 0 0 0 0 0 0 | 1 3 3 3 1 3 1 0 0 0 0 | 1 3 1 1 0
.o..3.o..    | * 3 * * | 1 0 0 2 1 1 0 0 0 | 2 1 1 0 0 0 1 2 1 2 0 0 0 | 1 2 1 2 0 0 0 1 2 1 0 | 1 2 1 0 1
..o.3..o.    | * * 3 * | 0 1 0 0 1 0 2 1 0 | 0 1 0 2 1 0 0 2 1 0 1 2 0 | 0 2 1 0 1 2 0 1 2 0 1 | 1 2 0 1 1
...o3...o    | * * * 3 | 0 0 1 0 0 1 0 1 2 | 0 0 1 0 1 2 0 0 1 2 0 2 1 | 0 0 1 2 0 2 1 0 2 1 1 | 0 2 1 1 1
-------------+---------+-------------------+---------------------------+-----------------------+----------
oo..3oo..&#x | 1 1 0 0 | 3 * * * * * * * * ♦ 2 1 1 0 0 0 0 0 0 0 0 0 0 | 1 2 1 2 0 0 0 0 0 0 0 | 1 2 1 0 0
o.o.3o.o.&#x | 1 0 1 0 | * 3 * * * * * * * ♦ 0 1 0 2 1 0 0 0 0 0 0 0 0 | 0 2 1 0 1 2 0 0 0 0 0 | 1 2 0 1 0
o..o3o..o&#x | 1 0 0 1 | * * 3 * * * * * * ♦ 0 0 1 0 1 2 0 0 0 0 0 0 0 | 0 0 1 2 0 2 1 0 0 0 0 | 0 2 1 1 0
.... .x..    | 0 2 0 0 | * * * 3 * * * * * | 1 0 0 0 0 0 1 1 0 1 0 0 0 | 1 1 0 1 0 0 0 1 1 1 0 | 1 1 1 0 1
.oo.3.oo.&#x | 0 1 1 0 | * * * * 3 * * * * | 0 1 0 0 0 0 0 2 1 0 0 0 0 | 0 2 1 0 0 0 0 1 2 0 0 | 1 2 0 0 1
.o.o3.o.o&#x | 0 1 0 1 | * * * * * 3 * * * | 0 0 1 0 0 0 0 0 1 2 0 0 0 | 0 0 1 2 0 0 0 0 2 1 0 | 0 2 1 0 1
.... ..x.    | 0 0 2 0 | * * * * * * 3 * * | 0 0 0 1 0 0 0 1 0 0 1 1 0 | 0 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1
..oo3..oo&#x | 0 0 1 1 | * * * * * * * 3 * | 0 0 0 0 1 0 0 0 1 0 0 2 0 | 0 0 1 0 0 2 0 0 2 0 1 | 0 2 0 1 1
.... ...x    | 0 0 0 2 | * * * * * * * * 3 | 0 0 0 0 0 1 0 0 0 1 0 1 1 | 0 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1
-------------+---------+-------------------+---------------------------+-----------------------+----------
.... ox..&#x | 1 2 0 0 | 2 0 0 1 0 0 0 0 0 | 3 * * * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 | 1 1 1 0 0
ooo.3ooo.&#x | 1 1 1 0 | 1 1 0 0 1 0 0 0 0 | * 3 * * * * * * * * * * * | 0 2 1 0 0 0 0 0 0 0 0 | 1 2 0 0 0
oo.o3oo.o&#x | 1 1 0 1 | 1 0 1 0 0 1 0 0 0 | * * 3 * * * * * * * * * * | 0 0 1 2 0 0 0 0 0 0 0 | 0 2 1 0 0
.... o.x.&#x | 1 0 2 0 | 0 2 0 0 0 0 1 0 0 | * * * 3 * * * * * * * * * | 0 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0
o.oo3o.oo&#x | 1 0 1 1 | 0 1 1 0 0 0 0 1 0 | * * * * 3 * * * * * * * * | 0 0 1 0 0 2 0 0 0 0 0 | 0 2 0 1 0
.... o..x&#x | 1 0 0 2 | 0 0 2 0 0 0 0 0 1 | * * * * * 3 * * * * * * * | 0 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0
.o..3.x..    | 0 3 0 0 | 0 0 0 3 0 0 0 0 0 | * * * * * * 1 * * * * * * | 1 0 0 0 0 0 0 1 0 1 0 | 1 0 1 0 1
.... .xx.&#x | 0 2 2 0 | 0 0 0 1 2 0 1 0 0 | * * * * * * * 3 * * * * * | 0 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1
.ooo3.ooo&#x | 0 1 1 1 | 0 0 0 0 1 1 0 1 0 | * * * * * * * * 3 * * * * | 0 0 1 0 0 0 0 0 2 0 0 | 0 2 0 0 1
.... .x.x&#x | 0 2 0 2 | 0 0 0 1 0 2 0 0 1 | * * * * * * * * * 3 * * * | 0 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1
..o.3..x.    | 0 0 3 0 | 0 0 0 0 0 0 3 0 0 | * * * * * * * * * * 1 * * | 0 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1
.... ..xx&#x | 0 0 2 2 | 0 0 0 0 0 0 1 2 1 | * * * * * * * * * * * 3 * | 0 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
...o3...x    | 0 0 0 3 | 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * 1 | 0 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
-------------+---------+-------------------+---------------------------+-----------------------+----------
oo..3ox..&#x ♦ 1 3 0 0 | 3 0 0 3 0 0 0 0 0 | 3 0 0 0 0 0 1 0 0 0 0 0 0 | 1 * * * * * * * * * * | 1 0 1 0 0
.... oxx.&#x ♦ 1 2 2 0 | 2 2 0 1 2 0 1 0 0 | 1 2 0 1 0 0 0 1 0 0 0 0 0 | * 3 * * * * * * * * * | 1 1 0 0 0
oooo3oooo&#x ♦ 1 1 1 1 | 1 1 1 0 1 1 0 1 0 | 0 1 1 0 1 0 0 0 1 0 0 0 0 | * * 3 * * * * * * * * | 0 2 0 0 0
.... ox.x&#x ♦ 1 2 0 2 | 2 0 2 1 0 2 0 0 1 | 1 0 2 0 0 1 0 0 0 1 0 0 0 | * * * 3 * * * * * * * | 0 1 1 0 0
o.o.3o.x.&#x ♦ 1 0 3 0 | 0 3 0 0 0 0 3 0 0 | 0 0 0 3 0 0 0 0 0 0 1 0 0 | * * * * 1 * * * * * * | 1 0 0 1 0
.... o.xx&#x ♦ 1 0 2 2 | 0 2 2 0 0 0 1 2 1 | 0 0 0 1 2 1 0 0 0 0 0 1 0 | * * * * * 3 * * * * * | 0 1 0 1 0
o..o3o..x&#x ♦ 1 0 0 3 | 0 0 3 0 0 0 0 0 3 | 0 0 0 0 0 3 0 0 0 0 0 0 1 | * * * * * * 1 * * * * | 0 0 1 1 0
.oo.3.xx.&#x ♦ 0 3 3 0 | 0 0 0 3 3 0 3 0 0 | 0 0 0 0 0 0 1 3 0 0 1 0 0 | * * * * * * * 1 * * * | 1 0 0 0 1
.... .xxx&#x ♦ 0 2 2 2 | 0 0 0 1 2 2 1 2 1 | 0 0 0 0 0 0 0 1 2 1 0 1 0 | * * * * * * * * 3 * * | 0 1 0 0 1
.o.o3.x.x&#x ♦ 0 3 0 3 | 0 0 0 3 0 3 0 0 3 | 0 0 0 0 0 0 1 0 0 3 0 0 1 | * * * * * * * * * 1 * | 0 0 1 0 1
..oo3..xx&#x ♦ 0 0 3 3 | 0 0 0 0 0 0 3 3 3 | 0 0 0 0 0 0 0 0 0 0 1 3 1 | * * * * * * * * * * 1 | 0 0 0 1 1
-------------+---------+-------------------+---------------------------+-----------------------+----------
ooo.3oxx.&#x ♦ 1 3 3 0 | 3 3 0 3 3 0 3 0 0 | 3 3 0 3 0 0 1 3 0 0 1 0 0 | 1 3 0 0 1 0 0 1 0 0 0 | 1 * * * *
.... oxxx&#x ♦ 1 2 2 2 | 2 2 2 1 2 2 1 2 1 | 1 2 2 1 2 1 0 1 2 1 0 1 0 | 0 1 2 1 0 1 0 0 1 0 0 | * 3 * * *
oo.o3ox.x&#x ♦ 1 3 0 3 | 3 0 3 3 0 3 0 0 3 | 3 0 3 0 0 3 1 0 0 3 0 0 1 | 1 0 0 3 0 0 1 0 0 1 0 | * * 1 * *
o.oo3o.xx&#x ♦ 1 0 3 3 | 0 3 3 0 0 0 3 3 3 | 0 0 0 3 3 3 0 0 0 0 1 3 1 | 0 0 0 0 1 3 1 0 0 0 1 | * * * 1 *
.ooo3.xxx&#x ♦ 0 3 3 3 | 0 0 0 3 3 3 3 3 3 | 0 0 0 0 0 0 1 3 3 3 1 3 1 | 0 0 0 0 0 0 0 1 3 1 1 | * * * * 1
```