Acronym raffixthi Name retrofrustic hexacositrishecatonicosachoron Cross sections ` ©` Circumradius sqrt(5) = 2.236068 Colonel of regiment affixthi Externallinks

As abstract polytope raffixthi is isomorphic to affixthi, thereby interchanging the roles of pentagrams and pentagons, and replacing decagons by decagrams, resp. replacing sidditdid by gidditdid and saddid by gaddid. – As such raffixthi is a lieutenant.

Incidence matrix according to Dynkin symbol

```x3o5/3x5o3/2*a5*c

. .   . .         | 3600 |    4    4 |    2    4    2    2    2 |   2   1   2   1
------------------+------+-----------+--------------------------+----------------
x .   . .         |    2 | 7200    * |    1    1    1    0    0 |   1   1   1   0
. .   x .         |    2 |    * 7200 |    0    1    0    1    1 |   1   0   1   1
------------------+------+-----------+--------------------------+----------------
x3o   . .         |    3 |    3    0 | 2400    *    *    *    * |   1   1   0   0
x .   x .   *a5*c |   10 |    5    5 |    * 1440    *    *    * |   1   0   1   0
x .   . o3/2*a    |    3 |    3    0 |    *    * 2400    *    * |   0   1   1   0
. o5/3x .         |    5 |    0    5 |    *    *    * 1440    * |   1   0   0   1
. .   x5o         |    5 |    0    5 |    *    *    *    * 1440 |   0   0   1   1
------------------+------+-----------+--------------------------+----------------
x3o5/3x .   *a5*c ♦   60 |   60   60 |   20   12    0   12    0 | 120   *   *   *
x3o   . o3/2*a    ♦    6 |   12    0 |    4    0    4    0    0 |   * 600   *   *
x .   x5o3/2*a5*c ♦   60 |   60   60 |    0   12   20    0   12 |   *   * 120   *
. o5/3x5o         ♦   30 |    0   60 |    0    0    0   12   12 |   *   *   * 120
```

```x3o5/3x5/4o3*a5*c

. .   .   .       | 3600 |    4    4 |    2    4    2    2    2 |   2   1   2   1
------------------+------+-----------+--------------------------+----------------
x .   .   .       |    2 | 7200    * |    1    1    1    0    0 |   1   1   1   0
. .   x   .       |    2 |    * 7200 |    0    1    0    1    1 |   1   0   1   1
------------------+------+-----------+--------------------------+----------------
x3o   .   .       |    3 |    3    0 | 2400    *    *    *    * |   1   1   0   0
x .   x   . *a5*c |   10 |    5    5 |    * 1440    *    *    * |   1   0   1   0
x .   .   o3*a    |    3 |    3    0 |    *    * 2400    *    * |   0   1   1   0
. o5/3x   .       |    5 |    0    5 |    *    *    * 1440    * |   1   0   0   1
. .   x5/4o       |    5 |    0    5 |    *    *    *    * 1440 |   0   0   1   1
------------------+------+-----------+--------------------------+----------------
x3o5/3x   . *a5*c ♦   60 |   60   60 |   20   12    0   12    0 | 120   *   *   *
x3o   .   o3*a    ♦    6 |   12    0 |    4    0    4    0    0 |   * 600   *   *
x .   x5/4o3*a5*c ♦   60 |   60   60 |    0   12   20    0   12 |   *   * 120   *
. o5/3x5/4o       ♦   30 |    0   60 |    0    0    0   12   12 |   *   *   * 120
```

```x3/2o5/2x5o3/2*a5*c

.   .   . .         | 3600 |    4    4 |    2    4    2    2    2 |   2   1   2   1
--------------------+------+-----------+--------------------------+----------------
x   .   . .         |    2 | 7200    * |    1    1    1    0    0 |   1   1   1   0
.   .   x .         |    2 |    * 7200 |    0    1    0    1    1 |   1   0   1   1
--------------------+------+-----------+--------------------------+----------------
x3/2o   . .         |    3 |    3    0 | 2400    *    *    *    * |   1   1   0   0
x   .   x .   *a5*c |   10 |    5    5 |    * 1440    *    *    * |   1   0   1   0
x   .   . o3/2*a    |    3 |    3    0 |    *    * 2400    *    * |   0   1   1   0
.   o5/2x .         |    5 |    0    5 |    *    *    * 1440    * |   1   0   0   1
.   .   x5o         |    5 |    0    5 |    *    *    *    * 1440 |   0   0   1   1
--------------------+------+-----------+--------------------------+----------------
x3/2o5/2x .   *a5*c ♦   60 |   60   60 |   20   12    0   12    0 | 120   *   *   *
x3/2o   . o3/2*a    ♦    6 |   12    0 |    4    0    4    0    0 |   * 600   *   *
x   .   x5o3/2*a5*c ♦   60 |   60   60 |    0   12   20    0   12 |   *   * 120   *
.   o5/2x5o         ♦   30 |    0   60 |    0    0    0   12   12 |   *   *   * 120
```

```x3/2o5/2x5/4o3*a5*c

.   .   .   .       | 3600 |    4    4 |    2    4    2    2    2 |   2   1   2   1
--------------------+------+-----------+--------------------------+----------------
x   .   .   .       |    2 | 7200    * |    1    1    1    0    0 |   1   1   1   0
.   .   x   .       |    2 |    * 7200 |    0    1    0    1    1 |   1   0   1   1
--------------------+------+-----------+--------------------------+----------------
x3/2o   .   .       |    3 |    3    0 | 2400    *    *    *    * |   1   1   0   0
x   .   x   . *a5*c |   10 |    5    5 |    * 1440    *    *    * |   1   0   1   0
x   .   .   o3*a    |    3 |    3    0 |    *    * 2400    *    * |   0   1   1   0
.   o5/2x   .       |    5 |    0    5 |    *    *    * 1440    * |   1   0   0   1
.   .   x5/4o       |    5 |    0    5 |    *    *    *    * 1440 |   0   0   1   1
--------------------+------+-----------+--------------------------+----------------
x3/2o5/2x   . *a5*c ♦   60 |   60   60 |   20   12    0   12    0 | 120   *   *   *
x3/2o   .   o3*a    ♦    6 |   12    0 |    4    0    4    0    0 |   * 600   *   *
x   .   x5/4o3*a5*c ♦   60 |   60   60 |    0   12   20    0   12 |   *   * 120   *
.   o5/2x5/4o       ♦   30 |    0   60 |    0    0    0   12   12 |   *   *   * 120
```