Acronym twacube Name dodecagon - cube duoprism Circumradius sqrt[11+4 sqrt(3)]/2 = 2.117085 Confer more general: n,cube-dip   n,m-dippip   general polytopal classes: segmentotera Externallinks

Incidence matrix according to Dynkin symbol

```x12o o3o4x

.  . . . . | 96 |  2   3 | 1   6  3 |  3  6  1 | 3  2
-----------+----+--------+----------+----------+-----
x  . . . . |  2 | 96   * | 1   3  0 |  3  3  0 | 3  1
.  . . . x |  2 |  * 144 | 0   2  2 |  1  4  1 | 2  2
-----------+----+--------+----------+----------+-----
x12o . . . | 12 | 12   0 | 8   *  * |  3  0  0 | 3  0
x  . . . x |  4 |  2   2 | * 144  * |  1  2  0 | 2  1
.  . . o4x |  4 |  0   4 | *   * 72 |  0  2  1 | 1  2
-----------+----+--------+----------+----------+-----
x12o . . x ♦ 24 | 24  12 | 2  12  0 | 12  *  * | 2  0
x  . . o4x ♦  8 |  4   8 | 0   4  2 |  * 72  * | 1  1
.  . o3o4x ♦  8 |  0  12 | 0   0  6 |  *  * 12 | 0  2
-----------+----+--------+----------+----------+-----
x12o . o4x ♦ 48 | 48  48 | 4  48 12 |  4 12  0 | 6  *
x  . o3o4x ♦ 16 |  8  24 | 0  12 12 |  0  6  2 | * 12
```

```x6x o3o4x

. . . . . | 96 |  1  1   3 | 1  3  3  3 |  3  3  3  1 | 3 1 1
----------+----+-----------+------------+-------------+------
x . . . . |  2 | 48  *   * | 1  3  0  0 |  3  3  0  0 | 3 1 0
. x . . . |  2 |  * 48   * | 1  0  3  0 |  3  0  3  0 | 3 0 1
. . . . x |  2 |  *  * 144 | 0  1  1  2 |  1  2  2  1 | 2 1 1
----------+----+-----------+------------+-------------+------
x6x . . . | 12 |  6  6   0 | 8  *  *  * |  3  0  0  0 | 3 0 0
x . . . x |  4 |  2  0   2 | * 72  *  * |  1  2  0  0 | 2 1 0
. x . . x |  4 |  0  2   2 | *  * 72  * |  1  0  2  0 | 2 0 1
. . . o4x |  4 |  0  0   4 | *  *  * 72 |  0  1  1  1 | 1 1 1
----------+----+-----------+------------+-------------+------
x6x . . x ♦ 24 | 12 12  12 | 2  6  6  0 | 12  *  *  * | 2 0 0
x . . o4x ♦  8 |  4  0   8 | 0  4  0  2 |  * 36  *  * | 1 1 0
. x . o4x ♦  8 |  0  4   8 | 0  0  4  2 |  *  * 36  * | 1 0 1
. . o3o4x ♦  8 |  0  0  12 | 0  0  0  6 |  *  *  * 12 | 0 1 1
----------+----+-----------+------------+-------------+------
x6x . o4x ♦ 48 | 24 24  48 | 4 24 24 12 |  4  6  6  0 | 6 * *
x . o3o4x ♦ 16 |  8  0  24 | 0 12  0 12 |  0  6  0  2 | * 6 *
. x o3o4x ♦ 16 |  0  8  24 | 0  0 12 12 |  0  0  6  2 | * * 6

snubbed forms: s6x2o3o4s
```

```x x4o x12o

. . . .  . | 96 |  1  2  2 |  2  2  1  4 1 |  1  4 1  2 2 |  2 2 1
-----------+----+----------+---------------+--------------+-------
x . . .  . |  2 | 48  *  * |  2  2  0  0 0 |  1  4 1  0 0 |  2 2 0
. x . .  . |  2 |  * 96  * |  1  0  1  2 0 |  1  2 0  2 1 |  2 1 1
. . . x  . |  2 |  *  * 96 |  0  1  0  2 1 |  0  2 1  1 2 |  1 2 1
-----------+----+----------+---------------+--------------+-------
x x . .  . |  4 |  2  2  0 | 48  *  *  * * |  1  2 0  0 0 |  2 1 0
x . . x  . |  4 |  2  0  2 |  * 48  *  * * |  0  2 1  0 0 |  1 2 0
. x4o .  . |  4 |  0  4  0 |  *  * 24  * * |  1  0 0  2 0 |  2 0 1
. x . x  . |  4 |  0  2  2 |  *  *  * 96 * |  0  1 0  1 1 |  1 1 1
. . . x12o | 12 |  0  0 12 |  *  *  *  * 8 |  0  0 1  0 2 |  0 2 1
-----------+----+----------+---------------+--------------+-------
x x4o .  . ♦  8 |  4  8  0 |  4  0  2  0 0 | 12  * *  * * |  2 0 0
x x . x  . ♦  8 |  4  4  4 |  2  2  0  2 0 |  * 48 *  * * |  1 1 0
x . . x12o ♦ 24 | 12  0 24 |  0 12  0  0 2 |  *  * 4  * * |  0 2 0
. x4o x  . ♦  8 |  0  8  4 |  0  0  2  4 0 |  *  * * 24 * |  1 0 1
. x . x12o ♦ 24 |  0 12 24 |  0  0  0 12 2 |  *  * *  * 8 |  0 1 1
-----------+----+----------+---------------+--------------+-------
x x4o x  . ♦ 16 |  8 16  8 |  8  4  4  8 0 |  2  4 0  2 0 | 12 * *
x x . x12o ♦ 48 | 24 24 48 | 12 24  0 24 4 |  0 12 2  0 2 |  * 4 *
. x4o x12o ♦ 48 |  0 48 48 |  0  0 12 48 4 |  0  0 0 12 4 |  * * 2
```