Acronym ticot Name truncated icositetrachoric tetracomb Confer general polytopal classes: partial Stott expansions Externallinks

Incidence matrix according to Dynkin symbol

```x3x4o3o3o   (N → ∞)

. . . . . | 48N |   1   4 |   4   6 |   6   4 | 4  1
----------+-----+---------+---------+---------+-----
x . . . . |   2 | 24N   * ♦   4   0 |   6   0 | 4  0
. x . . . |   2 |   * 96N |   1   3 |   3   3 | 3  1
----------+-----+---------+---------+---------+-----
x3x . . . |   6 |   3   3 | 32N   * |   3   0 | 3  0
. x4o . . |   4 |   0   4 |   * 72N |   1   2 | 2  1
----------+-----+---------+---------+---------+-----
x3x4o . . ♦  24 |  12  24 |   8   6 | 12N   * | 2  0
. x4o3o . ♦   8 |   0  12 |   0   6 |   * 24N | 1  1
----------+-----+---------+---------+---------+-----
x3x4o3o . ♦ 192 |  96 288 |  96 144 |  24  24 | N  *
. x4o3o3o ♦  16 |   0  32 |   0  24 |   0   8 | * 3N

snubbed forms: s3s4o3o3o
```

```o3o4x3x3x   (N → ∞)

. . . . . | 192N |    3   1   1 |    3   3    3   1 |   1   3   3   3 | 1   1  3
----------+------+--------------+-------------------+-----------------+---------
. . x . . |    2 | 288N   *   * |    2   1    1   0 |   1   2   2   1 | 1   1  2
. . . x . |    2 |    * 96N   * ♦    0   3    0   1 |   0   3   0   3 | 1   0  3
. . . . x |    2 |    *   * 96N |    0   0    3   1 |   0   0   3   3 | 0   1  3
----------+------+--------------+-------------------+-----------------+---------
. o4x . . |    4 |    4   0   0 | 144N   *    *   * |   1   1   1   0 | 1   1  1
. . x3x . |    6 |    3   3   0 |    * 96N    *   * |   0   2   0   1 | 1   0  2
. . x . x |    4 |    2   0   2 |    *   * 144N   * |   0   0   2   1 | 0   1  2
. . . x3x |    6 |    0   3   3 |    *   *    * 32N |   0   0   0   3 | 0   0  3
----------+------+--------------+-------------------+-----------------+---------
o3o4x . . ♦    8 |   12   0   0 |    6   0    0   0 | 24N   *   *   * | 1   1  0
. o4x3x . ♦   24 |   24  12   0 |    6   8    0   0 |   * 24N   *   * | 1   0  1
. o4x . x ♦    8 |    8   0   4 |    2   0    4   0 |   *   * 72N   * | 0   1  1
. . x3x3x ♦   24 |   12  12  12 |    0   4    6   4 |   *   *   * 24N | 0   0  2
----------+------+--------------+-------------------+-----------------+---------
o3o4x3x . ♦  192 |  288  96   0 |  144  96    0   0 |  24  24   0   0 | N   *  *
o3o4x . x ♦   16 |   24   0   8 |   12   0   12   0 |   2   0   6   0 | * 12N  *
. o4x3x3x ♦  192 |  192  96  96 |   48  64   96  32 |   0   8  24  16 | *   * 3N

snubbed forms: o3o4s3s3s
```

```o4x3x3x4o   (N → ∞)

. . . . . | 96N |   2   1   2 |   1   2   4   2   1 |  1   2   4   2  1 | 2  1 2
----------+-----+-------------+---------------------+-------------------+-------
. x . . . |   2 | 96N   *   * |   1   1   2   0   0 |  1   2   2   1  0 | 2  1 1
. . x . . |   2 |   * 48N   * ♦   0   2   0   2   0 |  1   0   4   0  1 | 2  0 2
. . . x . |   2 |   *   * 96N |   0   0   2   1   1 |  0   1   2   2  1 | 1  1 2
----------+-----+-------------+---------------------+-------------------+-------
o4x . . . |   4 |   4   0   0 | 24N   *   *   *   * |  1   2   0   0  0 | 2  1 0
. x3x . . |   6 |   3   3   0 |   * 32N   *   *   * |  1   0   2   0  0 | 2  0 1
. x . x . |   4 |   2   0   2 |   *   * 96N   *   * |  0   1   1   1  0 | 1  1 1
. . x3x . |   6 |   0   3   3 |   *   *   * 32N   * |  0   0   2   0  1 | 1  0 2
. . . x4o |   4 |   0   0   4 |   *   *   *   * 24N |  0   0   0   2  1 | 0  1 2
----------+-----+-------------+---------------------+-------------------+-------
o4x3x . . ♦  24 |  24  12   0 |   6   8   0   0   0 | 4N   *   *   *  * | 2  0 0
o4x . x . ♦   8 |   8   0   4 |   2   0   4   0   0 |  * 24N   *   *  * | 1  1 0
. x3x3x . ♦  24 |  12  12  12 |   0   4   6   4   0 |  *   * 16N   *  * | 1  0 1
. x . x4o ♦   8 |   4   0   8 |   0   0   4   0   2 |  *   *   * 24N  * | 0  1 1
. . x3x4o ♦  24 |   0  12  24 |   0   0   0   8   6 |  *   *   *   * 4N | 0  0 2
----------+-----+-------------+---------------------+-------------------+-------
o4x3x3x . ♦ 192 | 192  96  96 |  48  64  96  32   0 |  8  24  16   0  0 | N  * *
o4x . x4o ♦  16 |  16   0  16 |   4   0  16   0   4 |  0   4   0   4  0 | * 6N *
. x3x3x4o ♦ 192 |  96  96 192 |   0  32  96  64  48 |  0   0  16  24  8 | *  * N

snubbed forms: o4s3s3s4o
```

```x3x3x *b3x4o   (N → ∞)

. . .    . . | 192N |   1   1   1    2 |   1   1   2   1   2   2   1 |  1   2   2   1   2  1   1 |  2 1   1 1
-------------+------+------------------+-----------------------------+---------------------------+-----------
x . .    . . |    2 | 96N   *   *    * |   1   1   2   0   0   0   0 |  1   2   2   1   0  0   0 |  2 1   1 0
. x .    . . |    2 |   * 96N   *    * ♦   1   0   0   1   2   0   0 |  1   2   0   0   2  1   0 |  2 1   0 1
. . x    . . |    2 |   *   * 96N    * |   0   1   0   1   0   2   0 |  1   0   2   0   2  0   1 |  2 0   1 1
. . .    x . |    2 |   *   *   * 192N |   0   0   1   0   1   1   1 |  0   1   1   1   1  1   1 |  1 1   1 1
-------------+------+------------------+-----------------------------+---------------------------+-----------
x3x .    . . |    6 |   3   3   0    0 | 32N   *   *   *   *   *   * |  1   2   0   0   0  0   0 |  2 1   0 0
x . x    . . |    4 |   2   0   2    0 |   * 48N   *   *   *   *   * |  1   0   2   0   0  0   0 |  2 0   1 0
x . .    x . |    4 |   2   0   0    2 |   *   * 96N   *   *   *   * |  0   1   1   1   0  0   0 |  1 1   1 0
. x3x    . . |    6 |   0   3   3    0 |   *   *   * 32N   *   *   * |  1   0   0   0   2  0   0 |  2 0   0 1
. x . *b3x . |    6 |   0   3   0    3 |   *   *   *   * 64N   *   * |  0   1   0   0   1  1   0 |  1 1   0 1
. . x    x . |    4 |   0   0   2    2 |   *   *   *   *   * 96N   * |  0   0   1   0   1  0   1 |  1 0   1 1
. . .    x4o |    4 |   0   0   0    4 |   *   *   *   *   *   * 48N |  0   0   0   1   0  1   1 |  0 1   1 1
-------------+------+------------------+-----------------------------+---------------------------+-----------
x3x3x    . . ♦   24 |  12  12  12    0 |   4   6   0   4   0   0   0 | 8N   *   *   *   *  *   * |  2 0   0 0
x3x . *b3x . ♦   24 |  12  12   0   12 |   4   0   6   0   4   0   0 |  * 16N   *   *   *  *   * |  1 1   0 0
x . x    x . ♦    8 |   4   0   4    4 |   0   2   2   0   0   2   0 |  *   * 48N   *   *  *   * |  1 0   1 0
x . .    x4o ♦    8 |   4   0   0    8 |   0   0   4   0   0   0   2 |  *   *   * 24N   *  *   * |  0 1   1 0
. x3x *b3x . ♦   24 |   0  12  12   12 |   0   0   0   4   4   6   0 |  *   *   *   * 16N  *   * |  1 0   0 1
. x . *b3x4o ♦   24 |   0  12   0   24 |   0   0   0   0   8   0   6 |  *   *   *   *   * 8N   * |  0 1   0 1
. . x    x4o ♦    8 |   0   0   4    8 |   0   0   0   0   0   4   2 |  *   *   *   *   *  * 24N |  0 0   1 1
-------------+------+------------------+-----------------------------+---------------------------+-----------
x3x3x *b3x . ♦  192 |  96  96  96   96 |  32  48  48  32  32  48   0 |  8   8  24   0   8  0   0 | 2N *   * *
x3x . *b3x4o ♦  192 |  96  96   0  192 |  32   0  96   0  64   0  48 |  0  16   0  24   0  8   0 |  * N   * *
x . x    x4o ♦   16 |   8   0   8   16 |   0   4   8   0   0   8   4 |  0   0   4   2   0  0   2 |  * * 12N *
. x3x *b3x4o ♦  192 |   0  96  96  192 |   0   0   0  32  64  96  48 |  0   0   0   0  16  8  24 |  * *   * N

snubbed forms: s3s3s *b3s4o
```

```x3x3x *b3x *b3x   (N → ∞)

. . .    .    . | 192N |   1   1   1   1   1 |   1   1   1   1   1   1   1   1   1   1 |  1  1  1   1   1   1  1  1  1   1 | 1 1 1   1 1
----------------+------+---------------------+-----------------------------------------+-----------------------------------+------------
x . .    .    . |    2 | 96N   *   *   *   * |   1   1   1   1   0   0   0   0   0   0 |  1  1  1   1   1   1  0  0  0   0 | 1 1 1   1 0
. x .    .    . |    2 |   * 96N   *   *   * ♦   1   0   0   0   1   1   1   0   0   0 |  1  1  1   0   0   0  1  1  1   0 | 1 1 1   0 1
. . x    .    . |    2 |   *   * 96N   *   * |   0   1   0   0   1   0   0   1   1   0 |  1  0  0   1   1   0  1  1  0   1 | 1 1 0   1 1
. . .    x    . |    2 |   *   *   * 96N   * |   0   0   1   0   0   1   0   1   0   1 |  0  1  0   1   0   1  1  0  1   1 | 1 0 1   1 1
. . .    .    x |    2 |   *   *   *   * 96N |   0   0   0   1   0   0   1   0   1   1 |  0  0  1   0   1   1  0  1  1   1 | 0 1 1   1 1
----------------+------+---------------------+-----------------------------------------+-----------------------------------+------------
x3x .    .    . |    6 |   3   3   0   0   0 | 32N   *   *   *   *   *   *   *   *   * |  1  1  1   0   0   0  0  0  0   0 | 1 1 1   0 0
x . x    .    . |    4 |   2   0   2   0   0 |   * 48N   *   *   *   *   *   *   *   * |  1  0  0   1   1   0  0  0  0   0 | 1 1 0   1 0
x . .    x    . |    4 |   2   0   0   2   0 |   *   * 48N   *   *   *   *   *   *   * |  0  1  0   1   0   1  0  0  0   0 | 1 0 1   1 0
x . .    .    x |    4 |   2   0   0   0   2 |   *   *   * 48N   *   *   *   *   *   * |  0  0  1   0   1   1  0  0  0   0 | 0 1 1   1 0
. x3x    .    . |    6 |   0   3   3   0   0 |   *   *   *   * 32N   *   *   *   *   * |  1  0  0   0   0   0  1  1  0   0 | 1 1 0   0 1
. x . *b3x    . |    6 |   0   3   0   3   0 |   *   *   *   *   * 32N   *   *   *   * |  0  1  0   0   0   0  1  0  1   0 | 1 0 1   0 1
. x .    . *b3x |    6 |   0   3   0   0   3 |   *   *   *   *   *   * 32N   *   *   * |  0  0  1   0   0   0  0  1  1   0 | 0 1 1   0 1
. . x    x    . |    4 |   0   0   2   2   0 |   *   *   *   *   *   *   * 48N   *   * |  0  0  0   1   0   0  1  0  0   1 | 1 0 0   1 1
. . x    .    x |    4 |   0   0   2   0   2 |   *   *   *   *   *   *   *   * 48N   * |  0  0  0   0   1   0  0  1  0   1 | 0 1 0   1 1
. . .    x    x |    4 |   0   0   0   2   2 |   *   *   *   *   *   *   *   *   * 48N |  0  0  0   0   0   1  0  0  1   1 | 0 0 1   1 1
----------------+------+---------------------+-----------------------------------------+-----------------------------------+------------
x3x3x    .    . ♦   24 |  12  12  12   0   0 |   4   6   0   0   4   0   0   0   0   0 | 8N  *  *   *   *   *  *  *  *   * | 1 1 0   0 0
x3x . *b3x    . ♦   24 |  12  12   0  12   0 |   4   0   6   0   0   4   0   0   0   0 |  * 8N  *   *   *   *  *  *  *   * | 1 0 1   0 0
x3x .    . *b3x ♦   24 |  12  12   0   0  12 |   4   0   0   6   0   0   4   0   0   0 |  *  * 8N   *   *   *  *  *  *   * | 0 1 1   0 0
x . x    x    . ♦    8 |   4   0   4   4   0 |   0   2   2   0   0   0   0   2   0   0 |  *  *  * 24N   *   *  *  *  *   * | 1 0 0   1 0
x . x    .    x ♦    8 |   4   0   4   0   4 |   0   2   0   2   0   0   0   0   2   0 |  *  *  *   * 24N   *  *  *  *   * | 0 1 0   1 0
x . .    x    x ♦    8 |   4   0   0   4   4 |   0   0   2   2   0   0   0   0   0   2 |  *  *  *   *   * 24N  *  *  *   * | 0 0 1   1 0
. x3x *b3x    . ♦   24 |   0  12  12  12   0 |   0   0   0   0   4   4   0   6   0   0 |  *  *  *   *   *   * 8N  *  *   * | 1 0 0   0 1
. x3x    . *b3x ♦   24 |   0  12  12   0  12 |   0   0   0   0   4   0   4   0   6   0 |  *  *  *   *   *   *  * 8N  *   * | 0 1 0   0 1
. x . *b3x *b3x ♦   24 |   0  12   0  12  12 |   0   0   0   0   0   4   4   0   0   6 |  *  *  *   *   *   *  *  * 8N   * | 0 0 1   0 1
. . x    x    x ♦    8 |   0   0   4   4   4 |   0   0   0   0   0   0   0   2   2   2 |  *  *  *   *   *   *  *  *  * 24N | 0 0 0   1 1
----------------+------+---------------------+-----------------------------------------+-----------------------------------+------------
x3x3x *b3x    . ♦  192 |  96  96  96  96   0 |  32  48  48   0  32  32   0  48   0   0 |  8  8  0  24   0   0  8  0  0   0 | N * *   * *
x3x3x    . *b3x ♦  192 |  96  96  96   0  96 |  32  48   0  48  32   0  32   0  48   0 |  8  0  8   0  24   0  0  8  0   0 | * N *   * *
x3x . *b3x *b3x ♦  192 |  96  96   0  96  96 |  32   0  48  48   0  32  32   0   0  48 |  0  8  8   0   0  24  0  0  8   0 | * * N   * *
x . x    x    x ♦   16 |   8   0   8   8   8 |   0   4   4   4   0   0   0   4   4   4 |  0  0  0   2   2   2  0  0  0   2 | * * * 12N *
. x3x *b3x *b3x ♦  192 |   0  96  96  96  96 |   0   0   0   0  32  32  32  48  48  48 |  0  0  0   0   0   0  8  8  8  24 | * * *   * N

snubbed forms: s3s3s *b3s *b3s
```