Acronym recto Name rectified octeract,rectified hexadecazetton Circumradius sqrt(7/2) = 1.870829 Inradiuswrt. oca 7/4 = 1.75 Inradiuswrt. rasa 1/sqrt(2) = 0.707107 Coordinates (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0)   & all permutations, all changes of sign Volume 40319/2520 = 15.999603 Dihedral angles at hop between oca and rasa:   arccos[-1/sqrt(8)] = 110.704811° at rax between rasa and rasa:   90° Confer analogs: rectified hypercube rCn Externallinks

Incidence matrix according to Dynkin symbol

```o3o3o3o3o3o3x4o

. . . . . . . . | 1024 |   14 |    42    7 |    70   21 |    70   35 |   42  35 |   14  21 |   2  7
----------------+------+------+------------+------------+------------+----------+----------+-------
. . . . . . x . |    2 | 7168 |     6    1 |    15    6 |    20   15 |   15  20 |    6  15 |   1  6
----------------+------+------+------------+------------+------------+----------+----------+-------
. . . . . o3x . |    3 |    3 | 14336    * |     5    1 |    10    5 |   10  10 |    5  10 |   1  5
. . . . . . x4o |    4 |    4 |     * 1792 ♦     0    6 |     0   15 |    0  20 |    0  15 |   0  6
----------------+------+------+------------+------------+------------+----------+----------+-------
. . . . o3o3x . ♦    4 |    6 |     4    0 | 17920    * |     4    1 |    6   4 |    4   6 |   1  4
. . . . . o3x4o ♦   12 |   24 |     8    6 |     * 1792 ♦     0    5 |    0  10 |    0  10 |   0  5
----------------+------+------+------------+------------+------------+----------+----------+-------
. . . o3o3o3x . ♦    5 |   10 |    10    0 |     5    0 | 14336    * |    3   1 |    3   3 |   1  3
. . . . o3o3x4o ♦   32 |   96 |    64   24 |    16    8 |     * 1120 ♦    0   4 |    0   6 |   0  4
----------------+------+------+------------+------------+------------+----------+----------+-------
. . o3o3o3o3x . ♦    6 |   15 |    20    0 |    15    0 |     6    0 | 7168   * |    2   1 |   1  2
. . . o3o3o3x4o ♦   80 |  320 |   320   80 |   160   40 |    32   10 |    * 448 |    0   3 |   0  3
----------------+------+------+------------+------------+------------+----------+----------+-------
. o3o3o3o3o3x . ♦    7 |   21 |    35    0 |    35    0 |    21    0 |    7   0 | 2048   * |   1  1
. . o3o3o3o3x4o ♦  192 |  960 |  1280  240 |   960  160 |   384   60 |   64  12 |    * 112 |   0  2
----------------+------+------+------------+------------+------------+----------+----------+-------
o3o3o3o3o3o3x . ♦    8 |   28 |    56    0 |    70    0 |    56    0 |   28   0 |    8   0 | 256  *
. o3o3o3o3o3x4o ♦  448 | 2688 |  4480  672 |  4480  560 |  2688  280 |  896  84 |  128  14 |   * 16
```

```x3o3x *b3o3o3o3o3o

. . .    . . . . . | 1024 |    7    7 |   21    7   21 |   21   35   35 |   35   35   35 |  35   21   21 |  21    7    7 |  7   1   1
-------------------+------+-----------+----------------+----------------+----------------+---------------+---------------+-----------
x . .    . . . . . |    2 | 3584    * |    6    1    0 |    6   15    0 |   15   20    0 |  20   15    0 |  15    6    0 |  6   1   0
. . x    . . . . . |    2 |    * 3584 |    0    1    6 |    6    0   15 |   15    0   20 |  20    0   15 |  15    0    6 |  6   0   1
-------------------+------+-----------+----------------+----------------+----------------+---------------+---------------+-----------
x3o .    . . . . . |    3 |    3    0 | 7168    *    * |    1    5    0 |    5   10    0 |  10   10    0 |  10    5    0 |  5   1   0
x . x    . . . . . |    4 |    2    2 |    * 1792    * ♦    6    0    0 |   15    0    0 |  20    0    0 |  15    0    0 |  6   0   0
. o3x    . . . . . |    3 |    0    3 |    *    * 7168 |    1    0    5 |    5    0   10 |  10    0   10 |  10    0    5 |  5   0   1
-------------------+------+-----------+----------------+----------------+----------------+---------------+---------------+-----------
x3o3x    . . . . . ♦   12 |   12   12 |    4    6    4 | 1792    *    * ♦    5    0    0 |  10    0    0 |  10    0    0 |  5   0   0
x3o . *b3o . . . . ♦    4 |    6    0 |    4    0    0 |    * 8960    * |    1    4    0 |   4    6    0 |   6    4    0 |  4   1   0
. o3x *b3o . . . . ♦    4 |    0    6 |    0    0    4 |    *    * 8960 |    1    0    4 |   4    0    6 |   6    0    4 |  4   0   1
-------------------+------+-----------+----------------+----------------+----------------+---------------+---------------+-----------
x3o3x *b3o . . . . ♦   32 |   48   48 |   32   24   32 |    8    8    8 | 1120    *    * ♦   4    0    0 |   6    0    0 |  4   0   0
x3o . *b3o3o . . . ♦    5 |   10    0 |   10    0    0 |    0    5    0 |    * 7168    * |   1    3    0 |   3    3    0 |  3   1   0
. o3x *b3o3o . . . ♦    5 |    0   10 |    0    0   10 |    0    0    5 |    *    * 7168 |   1    0    3 |   3    0    3 |  3   0   1
-------------------+------+-----------+----------------+----------------+----------------+---------------+---------------+-----------
x3o3x *b3o3o . . . ♦   80 |  160  160 |  160   80  160 |   40   80   80 |   10   16   16 | 448    *    * |   3    0    0 |  3   0   0
x3o . *b3o3o3o . . ♦    6 |   15    0 |   20    0    0 |    0   15    0 |    0    6    0 |   * 3584    * |   1    2    0 |  2   1   0
. o3x *b3o3o3o . . ♦    6 |    0   15 |    0    0   20 |    0    0   15 |    0    0    6 |   *    * 3584 |   1    0    2 |  2   0   1
-------------------+------+-----------+----------------+----------------+----------------+---------------+---------------+-----------
x3o3x *b3o3o3o . . ♦  192 |  480  480 |  640  240  640 |  160  480  480 |   60  192  192 |  12   32   32 | 112    *    * |  2   0   0
x3o . *b3o3o3o3o . ♦    7 |   21    0 |   35    0    0 |    0   35    0 |    0   21    0 |   0    7    0 |   * 1024    * |  1   1   0
. o3x *b3o3o3o3o . ♦    7 |    0   21 |    0    0   35 |    0    0   35 |    0    0   21 |   0    0    7 |   *    * 1024 |  1   0   1
-------------------+------+-----------+----------------+----------------+----------------+---------------+---------------+-----------
x3o3x *b3o3o3o3o . ♦  448 | 1344 1344 | 2240  672 2240 |  560 2240 2240 |  280 1344 1344 |  84  448  448 |  14   64   64 | 16   *   *
x3o . *b3o3o3o3o3o ♦    8 |   28    0 |   56    0    0 |    0   70    0 |    0   56    0 |   0   28    0 |   0    8    0 |  * 128   *
. o3x *b3o3o3o3o3o ♦    8 |    0   28 |    0    0   56 |    0    0   70 |    0    0   56 |   0    0   28 |   0    0    8 |  *   * 128
```