Acronym sixhihy Name small hexacosihecatonicosihecatonicosachoron Cross sections ` ©` Circumradius 3+sqrt(5) = 5.236068 General of army sidpixhi Colonel of regiment sidpixhi Externallinks

As abstract polytope sixhihy is isomorphic to gixhihy, thereby replacing decagons by decagrams and pentagons by pentagrams, respectively replacing doe by gissid and saddid by gaddid. – It also is isomorphic to gidthixhi, thereby replacing only decagons by decagrams, respectively replacing saddid by gidditdid. – Finally it is isomorphic to sidthixhi, thereby replacing only pentagons by pentagrams, respectively replacing doe by gissid and saddid by sidditdid. – As such sixhihy is a lieutenant.

Incidence matrix according to Dynkin symbol

```o3o3x5x5/4*b

. . . .      | 2400 |    3    3 |    3    3   3 |   1   3   1
-------------+------+-----------+---------------+------------
. . x .      |    2 | 3600    * |    2    0   1 |   1   0   2
. . . x      |    2 |    * 3600 |    0    2   1 |   0   1   2
-------------+------+-----------+---------------+------------
. o3x .      |    3 |    3    0 | 2400    *   * |   1   0   1
. o . x5/4*b |    5 |    0    5 |    * 1440   * |   0   1   1
. . x5x      |   10 |    5    5 |    *    * 720 |   0   0   2
-------------+------+-----------+---------------+------------
o3o3x .      ♦    4 |    6    0 |    4    0   0 | 600   *   *
o3o . x5/4*b ♦   20 |    0   30 |    0   12   0 |   * 120   *
. o3x5x5/4*b ♦   60 |   60   60 |   20   12  12 |   *   * 120
```

```o3o3/2x5x5*b

. .   . .    | 2400 |    3    3 |    3    3   3 |   1   3   1
-------------+------+-----------+---------------+------------
. .   x .    |    2 | 3600    * |    2    0   1 |   1   0   2
. .   . x    |    2 |    * 3600 |    0    2   1 |   0   1   2
-------------+------+-----------+---------------+------------
. o3/2x .    |    3 |    3    0 | 2400    *   * |   1   0   1
. o   . x5*b |    5 |    0    5 |    * 1440   * |   0   1   1
. .   x5x    |   10 |    5    5 |    *    * 720 |   0   0   2
-------------+------+-----------+---------------+------------
o3o3/2x .    ♦    4 |    6    0 |    4    0   0 | 600   *   *
o3o   . x5*b ♦   20 |    0   30 |    0   12   0 |   * 120   *
. o3/2x5x5*b ♦   60 |   60   60 |   20   12  12 |   *   * 120
```

```o3/2o3x5x5/4*b

.   . . .      | 2400 |    3    3 |    3    3   3 |   1   3   1
---------------+------+-----------+---------------+------------
.   . x .      |    2 | 3600    * |    2    0   1 |   1   0   2
.   . . x      |    2 |    * 3600 |    0    2   1 |   0   1   2
---------------+------+-----------+---------------+------------
.   o3x .      |    3 |    3    0 | 2400    *   * |   1   0   1
.   o . x5/4*b |    5 |    0    5 |    * 1440   * |   0   1   1
.   . x5x      |   10 |    5    5 |    *    * 720 |   0   0   2
---------------+------+-----------+---------------+------------
o3/2o3x .      ♦    4 |    6    0 |    4    0   0 | 600   *   *
o3/2o . x5/4*b ♦   20 |    0   30 |    0   12   0 |   * 120   *
.   o3x5x5/4*b ♦   60 |   60   60 |   20   12  12 |   *   * 120
```

```o3/2o3/2x5x5*b

.   .   . .    | 2400 |    3    3 |    3    3   3 |   1   3   1
---------------+------+-----------+---------------+------------
.   .   x .    |    2 | 3600    * |    2    0   1 |   1   0   2
.   .   . x    |    2 |    * 3600 |    0    2   1 |   0   1   2
---------------+------+-----------+---------------+------------
.   o3/2x .    |    3 |    3    0 | 2400    *   * |   1   0   1
.   o   . x5*b |    5 |    0    5 |    * 1440   * |   0   1   1
.   .   x5x    |   10 |    5    5 |    *    * 720 |   0   0   2
---------------+------+-----------+---------------+------------
o3/2o3/2x .    ♦    4 |    6    0 |    4    0   0 | 600   *   *
o3/2o   . x5*b ♦   20 |    0   30 |    0   12   0 |   * 120   *
.   o3/2x5x5*b ♦   60 |   60   60 |   20   12  12 |   *   * 120
```