Acronym thocto
Name truncated hemiocteract,
cantic octeract
wrt. toc
9/4 = 2.25
wrt. roc
5/2 = 2.5
wrt. thesa
3/sqrt(8) = 1.060660
Lace city
in approx. ASCII-art
 ``` ©   ``` ```t u U T -- x3x3o *b3o3o3o3o (thesa) u d D U -- u3o3x *b3o3o3o3o ((u,x)-rasa) U D d u -- x3o3u *b3o3o3o3o ((x,u)-rasa) T U u t -- o3x3x *b3o3o3o3o (gyro thesa) where: t = x3x3o *b3o3o3o (thax) T = o3x3x *b3o3o3o (gyro thax) u = u3o3x *b3o3o3o ((u,x)-rax) U = x3o3u *b3o3o3o ((x,u)-rax) d = d3o3o *b3o3o3o (d-hax) D = o3o3d *b3o3o3o (gyro d-hax) ```
Dihedral angles
(at margins)
• at hop between roc and toc:   arccos(-3/4) = 138.590378°
• at ril between roc and thesa:   arccos[-1/sqrt(8)] = 110.704811°
• at til between thesa and toc:   arccos[-1/sqrt(8)] = 110.704811°
• at thax between thesa and thesa:   90°
Confer
analogs:
truncated demihypercube tDn
External

Incidence matrix according to Dynkin symbol

```x3x3o *b3o3o3o3o3o

. . .    . . . . . | 3584 |    1    12 |   12    6    30 |    6   30   15    40 |   15   40   20    30 |  20   30   15   12 |  15   12    6    2 |  6   2   1
-------------------+------+------------+-----------------+----------------------+----------------------+--------------------+--------------------+-----------
x . .    . . . . . |    2 | 1792     * ♦   12    0     0 |    6   30    0     0 |   15   40    0     0 |  20   30    0    0 |  15   12    0    0 |  6   2   0
. x .    . . . . . |    2 |    * 21504 |    1    1     5 |    1    5    5    10 |    5   10   10    10 |  10   10   10    5 |  10    5    5    1 |  5   1   1
-------------------+------+------------+-----------------+----------------------+----------------------+--------------------+--------------------+-----------
x3x .    . . . . . |    6 |    3     3 | 7168    *     * |    1    5    0     0 |    5   10    0     0 |  10   10    0    0 |  10    5    0    0 |  5   1   0
. x3o    . . . . . |    3 |    0     3 |    * 7168     * |    1    0    5     0 |    5    0   10     0 |  10    0   10    0 |  10    0    5    0 |  5   0   1
. x . *b3o . . . . |    3 |    0     3 |    *    * 35840 |    0    1    1     4 |    1    4    4     6 |   4    6    6    4 |   6    4    4    1 |  4   1   1
-------------------+------+------------+-----------------+----------------------+----------------------+--------------------+--------------------+-----------
x3x3o    . . . . . ♦   12 |    6    12 |    4    4     0 | 1792    *    *     * ♦    5    0    0     0 |  10    0    0    0 |  10    0    0    0 |  5   0   0
x3x . *b3o . . . . ♦   12 |    6    12 |    4    0     4 |    * 8960    *     * |    1    4    0     0 |   4    6    0    0 |   6    4    0    0 |  4   1   0
. x3o *b3o . . . . ♦    6 |    0    12 |    0    4     4 |    *    * 8960     * |    1    0    4     0 |   4    0    6    0 |   6    0    4    0 |  4   0   1
. x . *b3o3o . . . ♦    4 |    0     6 |    0    0     4 |    *    *    * 35840 |    0    1    1     3 |   1    3    3    3 |   3    3    3    1 |  3   1   1
-------------------+------+------------+-----------------+----------------------+----------------------+--------------------+--------------------+-----------
x3x3o *b3o . . . . ♦   48 |   24    96 |   32   32    32 |    8    8    8     0 | 1120    *    *     * ♦   4    0    0    0 |   6    0    0    0 |  4   0   0
x3x . *b3o3o . . . ♦   20 |   10    30 |   10    0    20 |    0    5    0     5 |    * 7168    *     * |   1    3    0    0 |   3    3    0    0 |  3   1   0
. x3o *b3o3o . . . ♦   10 |    0    30 |    0   10    20 |    0    0    5     5 |    *    * 7168     * |   1    0    3    0 |   3    0    3    0 |  3   0   1
. x . *b3o3o3o . . ♦    5 |    0    10 |    0    0    10 |    0    0    0     5 |    *    *    * 21504 |   0    1    1    2 |   1    2    2    1 |  2   1   1
-------------------+------+------------+-----------------+----------------------+----------------------+--------------------+--------------------+-----------
x3x3o *b3o3o . . . ♦  160 |   80   480 |  160  160   320 |   40   80   80    80 |   10   16   16     0 | 448    *    *    * |   3    0    0    0 |  3   0   0
x3x . *b3o3o3o . . ♦   30 |   15    60 |   20    0    60 |    0   15    0    30 |    0    6    0     6 |   * 3584    *    * |   1    2    0    0 |  2   1   0
. x3o *b3o3o3o . . ♦   15 |    0    60 |    0   20    60 |    0    0   15    30 |    0    0    6     6 |   *    * 3584    * |   1    0    2    0 |  2   0   1
. x . *b3o3o3o3o . ♦    6 |    0    15 |    0    0    20 |    0    0    0    15 |    0    0    0     6 |   *    *    * 7168 |   0    1    1    1 |  1   1   1
-------------------+------+------------+-----------------+----------------------+----------------------+--------------------+--------------------+-----------
x3x3o *b3o3o3o . . ♦  480 |  240  1920 |  640  640  1920 |  160  480  480   960 |   60  192  192   192 |  12   32   32    0 | 112    *    *    * |  2   0   0
x3x . *b3o3o3o3o . ♦   42 |   21   105 |   35    0   140 |    0   35    0   105 |    0   21    0    42 |   0    7    0    7 |   * 1024    *    * |  1   1   0
. x3o *b3o3o3o3o . ♦   21 |    0   105 |    0   35   140 |    0    0   35   105 |    0    0   21    42 |   0    0    7    7 |   *    * 1024    * |  1   0   1
. x . *b3o3o3o3o3o ♦    7 |    0    21 |    0    0    35 |    0    0    0    35 |    0    0    0    21 |   0    0    0    7 |   *    *    * 1024 |  0   1   1
-------------------+------+------------+-----------------+----------------------+----------------------+--------------------+--------------------+-----------
x3x3o *b3o3o3o3o . ♦ 1344 |  672  6720 | 2240 2240  8960 |  560 2240 2240  6720 |  280 1344 1344  2688 |  84  448  448  448 |  14   64   64    0 | 16   *   *
x3x . *b3o3o3o3o3o ♦   56 |   28   168 |   56    0   280 |    0   70    0   280 |    0   56    0   168 |   0   28    0   56 |   0    8    0    8 |  * 128   *
. x3o *b3o3o3o3o3o ♦   28 |    0   168 |    0   56   280 |    0    0   70   280 |    0    0   56   168 |   0    0   28   56 |   0    0    8    8 |  *   * 128
```