Acronym squaco Name square-cuboctahedron duoprism Circumradius sqrt(3/2) = 1.224745 Confer n,co-dip

Incidence matrix according to Dynkin symbol

```x4o o3x4o

. . . . . | 48 |  2  4 |  1  8  2  2 |  4  4  4 1 | 2 2 2
----------+----+-------+-------------+------------+------
x . . . . |  2 | 48  * |  1  4  0  0 |  4  2  2 0 | 2 2 1
. . . x . |  2 |  * 96 |  0  2  1  1 |  1  2  2 1 | 1 1 2
----------+----+-------+-------------+------------+------
x4o . . . |  4 |  4  0 | 12  *  *  * |  4  0  0 0 | 2 2 0
x . . x . |  4 |  2  2 |  * 96  *  * |  1  1  1 0 | 1 1 1
. . o3x . |  3 |  0  3 |  *  * 32  * |  0  2  0 1 | 1 0 2
. . . x4o |  4 |  0  4 |  *  *  * 24 |  0  0  2 1 | 0 1 2
----------+----+-------+-------------+------------+------
x4o . x . ♦  8 |  8  4 |  2  4  0  0 | 24  *  * * | 1 1 0
x . o3x . ♦  6 |  3  6 |  0  3  2  0 |  * 32  * * | 1 0 1
x . . x4o ♦  8 |  4  8 |  0  4  0  2 |  *  * 24 * | 0 1 1
. . o3x4o ♦ 12 |  0 24 |  0  0  8  6 |  *  *  * 4 | 0 0 2
----------+----+-------+-------------+------------+------
x4o o3x . ♦ 12 | 12 12 |  3 12  4  0 |  3  4  0 0 | 8 * *
x4o . x4o ♦ 16 | 16 16 |  4 16  0  4 |  4  0  4 0 | * 6 *
x . o3x4o ♦ 24 | 12 48 |  0 24 16 12 |  0  8  6 2 | * * 4
```

```x x o3x4o

. . . . . | 48 |  1  1  4 |  1  4  4  2  2 |  4  2  2  2  2 1 | 2 2 1 1
----------+----+----------+----------------+------------------+--------
x . . . . |  2 | 24  *  * |  1  4  0  0  0 |  4  2  2  0  0 0 | 2 2 1 0
. x . . . |  2 |  * 24  * |  1  0  4  0  0 |  4  0  0  2  2 0 | 2 2 0 1
. . . x . |  2 |  *  * 96 |  0  1  1  1  1 |  1  1  1  1  1 1 | 1 1 1 1
----------+----+----------+----------------+------------------+--------
x x . . . |  4 |  2  2  0 | 12  *  *  *  * |  4  0  0  0  0 0 | 2 2 0 0
x . . x . |  4 |  2  0  2 |  * 48  *  *  * |  1  1  1  0  0 0 | 1 1 1 0
. x . x . |  4 |  0  2  2 |  *  * 48  *  * |  1  0  0  1  1 0 | 1 1 0 1
. . o3x . |  3 |  0  0  3 |  *  *  * 32  * |  0  1  0  1  0 1 | 1 0 1 1
. . . x4o |  4 |  0  0  4 |  *  *  *  * 24 |  0  0  1  0  1 1 | 0 1 1 1
----------+----+----------+----------------+------------------+--------
x x . x . ♦  8 |  4  4  4 |  2  2  2  0  0 | 24  *  *  *  * * | 1 1 0 0
x . o3x . ♦  6 |  3  0  6 |  0  3  0  2  0 |  * 16  *  *  * * | 1 0 1 0
x . . x4o ♦  8 |  4  0  8 |  0  4  0  0  2 |  *  * 12  *  * * | 0 1 1 0
. x o3x . ♦  6 |  0  3  6 |  0  0  3  2  0 |  *  *  * 16  * * | 1 0 0 1
. x . x4o ♦  8 |  0  4  8 |  0  0  4  0  2 |  *  *  *  * 12 * | 0 1 0 1
. . o3x4o ♦ 12 |  0  0 24 |  0  0  0  8  6 |  *  *  *  *  * 4 | 0 0 1 1
----------+----+----------+----------------+------------------+--------
x x o3x . ♦ 12 |  6  6 12 |  3  6  6  4  0 |  3  2  0  2  0 0 | 8 * * *
x x . x4o ♦ 16 |  8  8 16 |  4  8  8  0  4 |  4  0  2  0  2 0 | * 6 * *
x . o3x4o ♦ 24 | 12  0 48 |  0 24  0 16 12 |  0  8  6  0  0 2 | * * 2 *
. x o3x4o ♦ 24 |  0 12 48 |  0  0 24 16 12 |  0  0  0  8  6 2 | * * * 2
```

```x4o x3o3x

. . . . . | 48 |  2  2  2 |  1  4  4  1  2  1 |  2  2  2  4  2 1 | 1 2 1 2
----------+----+----------+-------------------+------------------+--------
x . . . . |  2 | 48  *  * |  1  2  2  0  0  0 |  2  2  1  4  1 0 | 1 2 1 1
. . x . . |  2 |  * 48  * |  0  2  0  1  1  0 |  1  0  2  2  0 1 | 1 1 0 2
. . . . x |  2 |  *  * 48 |  0  0  2  0  1  1 |  0  1  0  2  2 1 | 0 1 1 2
----------+----+----------+-------------------+------------------+--------
x4o . . . |  4 |  4  0  0 | 12  *  *  *  *  * |  2  2  0  0  0 0 | 1 2 1 0
x . x . . |  4 |  2  2  0 |  * 48  *  *  *  * |  1  0  1  1  0 0 | 1 1 0 1
x . . . x |  4 |  2  0  2 |  *  * 48  *  *  * |  0  1  0  1  1 0 | 0 1 1 1
. . x3o . |  3 |  0  3  0 |  *  *  * 16  *  * |  0  0  2  0  0 1 | 1 0 0 2
. . x . x |  4 |  0  2  2 |  *  *  *  * 24  * |  0  0  0  2  0 1 | 0 1 0 2
. . . o3x |  3 |  0  0  3 |  *  *  *  *  * 16 |  0  0  0  0  2 1 | 0 0 1 2
----------+----+----------+-------------------+------------------+--------
x4o x . . ♦  8 |  8  4  0 |  2  4  0  0  0  0 | 12  *  *  *  * * | 1 1 0 0
x4o . . x ♦  8 |  8  0  4 |  2  0  4  0  0  0 |  * 12  *  *  * * | 0 1 1 0
x . x3o . ♦  6 |  3  6  0 |  0  3  0  2  0  0 |  *  * 16  *  * * | 1 0 0 1
x . x . x ♦  8 |  4  4  4 |  0  2  2  0  2  0 |  *  *  * 24  * * | 0 1 0 1
x . . o3x ♦  6 |  3  0  6 |  0  0  3  0  0  2 |  *  *  *  * 16 * | 0 0 1 1
. . x3o3x ♦ 12 |  0 12 12 |  0  0  0  4  6  4 |  *  *  *  *  * 4 | 0 0 0 2
----------+----+----------+-------------------+------------------+--------
x4o x3o . ♦ 12 | 12 12  0 |  3 12  0  4  0  0 |  3  0  4  0  0 0 | 4 * * *
x4o x . x ♦ 16 | 16  8  8 |  4  8  8  0  4  0 |  2  2  0  4  0 0 | * 6 * *
x4o . o3x ♦ 12 | 12  0 12 |  3  0 12  0  0  4 |  0  3  0  0  4 0 | * * 4 *
x . x3o3x ♦ 24 | 12 24 24 |  0 12 12  8 12  8 |  0  0  4  6  4 2 | * * * 4
```

```x x x3o3x

. . . . . | 48 |  1  1  2  2 |  1  2  2  2  2  1  2  1 |  2  2 1  2 1 1  2 1 1 | 1 2 1 1 1
----------+----+-------------+-------------------------+-----------------------+----------
x . . . . |  2 | 24  *  *  * |  1  2  2  0  0  0  0  0 |  2  2 1  2 1 0  0 0 0 | 1 2 1 1 0
. x . . . |  2 |  * 24  *  * |  1  0  0  2  2  0  0  0 |  2  2 0  0 0 1  2 1 0 | 1 2 1 0 1
. . x . . |  2 |  *  * 48  * |  0  1  0  1  0  1  1  0 |  1  0 1  1 0 1  1 0 1 | 1 1 0 1 1
. . . . x |  2 |  *  *  * 48 |  0  0  1  0  1  0  1  1 |  0  1 0  1 1 0  1 1 1 | 0 1 1 1 1
----------+----+-------------+-------------------------+-----------------------+----------
x x . . . |  4 |  2  2  0  0 | 12  *  *  *  *  *  *  * |  2  2 0  0 0 0  0 0 0 | 1 2 1 0 0
x . x . . |  4 |  2  0  2  0 |  * 24  *  *  *  *  *  * |  1  0 1  1 0 0  0 0 0 | 1 1 0 1 0
x . . . x |  4 |  2  0  0  2 |  *  * 24  *  *  *  *  * |  0  1 0  1 1 0  0 0 0 | 0 1 1 1 0
. x x . . |  4 |  0  2  2  0 |  *  *  * 24  *  *  *  * |  1  0 0  0 0 1  1 0 0 | 1 1 0 0 1
. x . . x |  4 |  0  2  0  2 |  *  *  *  * 24  *  *  * |  0  1 0  0 0 0  1 1 0 | 0 1 1 0 1
. . x3o . |  3 |  0  0  3  0 |  *  *  *  *  * 16  *  * |  0  0 1  0 0 1  0 0 1 | 1 0 0 1 1
. . x . x |  4 |  0  0  2  2 |  *  *  *  *  *  * 24  * |  0  0 0  1 0 0  1 0 1 | 0 1 0 1 1
. . . o3x |  3 |  0  0  0  3 |  *  *  *  *  *  *  * 16 |  0  0 0  0 1 0  0 1 1 | 0 0 1 1 1
----------+----+-------------+-------------------------+-----------------------+----------
x x x . . ♦  8 |  4  4  4  0 |  2  2  0  2  0  0  0  0 | 12  * *  * * *  * * * | 1 1 0 0 0
x x . . x ♦  8 |  4  4  0  4 |  2  0  2  0  2  0  0  0 |  * 12 *  * * *  * * * | 0 1 1 0 0
x . x3o . ♦  6 |  3  0  6  0 |  0  3  0  0  0  2  0  0 |  *  * 8  * * *  * * * | 1 0 0 1 0
x . x . x ♦  8 |  4  0  4  4 |  0  2  2  0  0  0  2  0 |  *  * * 12 * *  * * * | 0 1 0 1 0
x . . o3x ♦  6 |  3  0  0  6 |  0  0  3  0  0  0  0  2 |  *  * *  * 8 *  * * * | 0 0 1 1 0
. x x3o . ♦  6 |  0  3  6  0 |  0  0  0  3  0  2  0  0 |  *  * *  * * 8  * * * | 1 0 0 0 1
. x x . x ♦  8 |  0  4  4  4 |  0  0  0  2  2  0  2  0 |  *  * *  * * * 12 * * | 0 1 0 0 1
. x . o3x ♦  6 |  0  3  0  6 |  0  0  0  0  3  0  0  2 |  *  * *  * * *  * 8 * | 0 0 1 0 1
. . x3o3x ♦ 12 |  0  0 12 12 |  0  0  0  0  0  4  6  4 |  *  * *  * * *  * * 4 | 0 0 0 1 1
----------+----+-------------+-------------------------+-----------------------+----------
x x x3o . ♦ 12 |  6  6 12  0 |  3  6  0  6  0  4  0  0 |  3  0 2  0 0 2  0 0 0 | 4 * * * *
x x x . x ♦ 16 |  8  8  8  8 |  4  4  4  4  4  0  4  0 |  2  2 0  2 0 0  2 0 0 | * 6 * * *
x x . o3x ♦ 12 |  6  6  0 12 |  3  0  6  0  6  0  0  4 |  0  3 0  0 2 0  0 2 0 | * * 4 * *
x . x3o3x ♦ 24 | 12  0 24 24 |  0 12 12  0  0  8 12  8 |  0  0 4  6 4 0  0 0 2 | * * * 2 *
. x x3o3x ♦ 24 |  0 12 24 24 |  0  0  0 12 12  8 12  8 |  0  0 0  0 0 4  6 4 2 | * * * * 2
```