Acronym rittip Name rectified-tesseract prism Circumradius sqrt(7)/2 = 1.322876 Coordinates (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 1/2)   & all permutations in all but last coord., all changes of sign

Incidence matrix according to Dynkin symbol

```x o3o3x4o

. . . . . | 64 |  1   6 |  6   6  3 |  6  3  2  3 |  2 3 1
----------+----+--------+-----------+-------------+-------
x . . . . |  2 | 32   * ♦  6   0  0 |  6  3  0  0 |  2 3 0
. . . x . |  2 |  * 192 |  1   2  1 |  2  1  1  2 |  1 2 1
----------+----+--------+-----------+-------------+-------
x . . x . |  4 |  2   2 | 96   *  * |  2  1  0  0 |  1 2 0
. . o3x . |  3 |  0   3 |  * 128  * |  1  0  1  1 |  1 1 1
. . . x4o |  4 |  0   4 |  *   * 48 |  0  1  0  2 |  0 2 1
----------+----+--------+-----------+-------------+-------
x . o3x . ♦  6 |  3   6 |  3   2  0 | 64  *  *  * |  1 1 0
x . . x4o ♦  8 |  4   8 |  4   0  2 |  * 24  *  * |  0 2 0
. o3o3x . ♦  4 |  0   6 |  0   4  0 |  *  * 32  * |  1 0 1
. . o3x4o ♦ 12 |  0  24 |  0   8  6 |  *  *  * 16 |  0 1 1
----------+----+--------+-----------+-------------+-------
x o3o3x . ♦  8 |  4  12 |  6   8  0 |  4  0  2  0 | 16 * *
x . o3x4o ♦ 24 | 12  48 | 24  16 12 |  8  6  0  2 |  * 8 *
. o3o3x4o ♦ 32 |  0  96 |  0  64 24 |  0  0 16  8 |  * * 2
```

```x x3o3x *c3o

. . . .    . | 64 |  1  3  3 |  3  3  3  3  3 |  3  3  3  3  1  1 | 3 1 1 1
-------------+----+----------+----------------+-------------------+--------
x . . .    . |  2 | 32  *  * ♦  3  3  0  0  0 |  3  3  3  0  0  0 | 3 1 1 0
. x . .    . |  2 |  * 96  * |  1  0  2  1  0 |  2  1  0  2  1  0 | 2 1 0 1
. . . x    . |  2 |  *  * 96 |  0  1  0  1  2 |  0  1  2  2  0  1 | 2 0 1 1
-------------+----+----------+----------------+-------------------+--------
x x . .    . |  4 |  2  2  0 | 48  *  *  *  * |  2  1  0  0  0  0 | 2 1 0 0
x . . x    . |  4 |  2  0  2 |  * 48  *  *  * |  0  1  2  0  0  0 | 2 0 1 0
. x3o .    . |  3 |  0  3  0 |  *  * 64  *  * |  1  0  0  1  1  0 | 1 1 0 1
. x . x    . |  4 |  0  2  2 |  *  *  * 48  * |  0  1  0  2  0  0 | 2 0 0 1
. . o3x    . |  3 |  0  0  3 |  *  *  *  * 64 |  0  0  1  1  0  1 | 1 0 1 1
-------------+----+----------+----------------+-------------------+--------
x x3o .    . ♦  6 |  3  6  0 |  3  0  2  0  0 | 32  *  *  *  *  * | 1 1 0 0
x x . x    . ♦  8 |  4  4  4 |  2  2  0  2  0 |  * 24  *  *  *  * | 2 0 0 0
x . o3x    . ♦  6 |  3  0  6 |  0  3  0  0  2 |  *  * 32  *  *  * | 1 0 1 0
. x3o3x    . ♦ 12 |  0 12 12 |  0  0  4  6  4 |  *  *  * 16  *  * | 1 0 0 1
. x3o . *c3o ♦  4 |  0  6  0 |  0  0  4  0  0 |  *  *  *  * 16  * | 0 1 0 1
. . o3x *c3o ♦  4 |  0  0  6 |  0  0  0  0  4 |  *  *  *  *  * 16 | 0 0 1 1
-------------+----+----------+----------------+-------------------+--------
x x3o3x    . ♦ 24 | 12 24 24 | 12 12  8 12  8 |  4  6  4  2  0  0 | 8 * * *
x x3o . *c3o ♦  8 |  4 12  0 |  6  0  8  0  0 |  4  0  0  0  2  0 | * 8 * *
x . o3x *c3o ♦  8 |  4  0 12 |  0  6  0  0  8 |  0  0  4  0  0  2 | * * 8 *
. x3o3x *c3o ♦ 32 |  0 48 48 |  0  0 32 24 32 |  0  0  0  8  8  8 | * * * 2
```