Acronym squarat Name square rectified-triacontiditeron duoprism Circumradius 1 Confer uniform relative: barz   general polytopal classes: segmentoexa

Incidence matrix according to Dynkin symbol

```x4o o3x3o3o4o

. . . . . . . | 160 |   2  12 |  1  12   6   24 |  12  12   48  12  16 |  6  24  24  32   8  2 | 12  16  16  4 1 |  8  2 2
--------------+-----+---------+-----------------+----------------------+-----------------------+-----------------+--------
x . . . . . . |   2 | 160   * |  1  12   0    0 |  12   6   24   0   0 |  6  24  12  16   0  0 | 12  16   8  2 0 |  8  2 1
. . . x . . . |   2 |   * 960 |  0   2   1    4 |   1   2    8   4   4 |  1   4   8   8   4  1 |  4   4   8  2 1 |  4  1 2
--------------+-----+---------+-----------------+----------------------+-----------------------+-----------------+--------
x4o . . . . . |   4 |   4   0 | 40   *   *    * ♦  12   0    0   0   0 |  6  24   0   0   0  0 | 12  16   0  0 0 |  8  2 0
x . . x . . . |   4 |   2   2 |  * 960   *    * |   1   1    4   0   0 |  1   4   4   4   0  0 |  4   4   4  1 0 |  4  1 1
. . o3x . . . |   3 |   0   3 |  *   * 320    * |   0   2    0   4   0 |  1   0   8   0   4  0 |  4   0   8  0 1 |  4  0 2
. . . x3o . . |   3 |   0   3 |  *   *   * 1280 |   0   0    2   1   2 |  0   1   2   4   2  1 |  1   2   4  2 1 |  2  1 2
--------------+-----+---------+-----------------+----------------------+-----------------------+-----------------+--------
x4o . x . . . ♦   8 |   8   4 |  2   4   0    0 | 240   *    *   *   * ♦  1   4   0   0   0  0 |  4   4   0  0 0 |  4  1 0
x . o3x . . . ♦   6 |   3   6 |  0   3   2    0 |   * 320    *   *   * |  1   0   4   0   0  0 |  4   0   4  0 0 |  4  0 1
x . . x3o . . ♦   6 |   3   6 |  0   3   0    2 |   *   * 1280   *   * |  0   1   1   2   0  0 |  1   2   2  1 0 |  2  1 1
. . o3x3o . . ♦   6 |   0  12 |  0   0   4    4 |   *   *    * 320   * |  0   0   2   0   2  0 |  1   0   4  0 1 |  2  0 2
. . . x3o3o . ♦   4 |   0   6 |  0   0   0    4 |   *   *    *   * 640 |  0   0   0   2   1  1 |  0   1   2  2 1 |  1  1 2
--------------+-----+---------+-----------------+----------------------+-----------------------+-----------------+--------
x4o o3x . . . ♦  12 |  12  12 |  3  12   4    0 |   3   4    0   0   0 | 80   *   *   *   *  * |  4   0   0  0 0 |  4  0 0
x4o . x3o . . ♦  12 |  12  12 |  3  12   0    4 |   3   0    4   0   0 |  * 320   *   *   *  * |  1   2   0  0 0 |  2  1 0
x . o3x3o . . ♦  12 |   6  24 |  0  12   8    8 |   0   4    4   2   0 |  *   * 320   *   *  * |  1   0   2  0 0 |  2  0 1
x . . x3o3o . ♦   8 |   4  12 |  0   6   0    8 |   0   0    4   0   2 |  *   *   * 640   *  * |  0   1   1  1 0 |  1  1 1
. . o3x3o3o . ♦  10 |   0  30 |  0   0  10   20 |   0   0    0   5   5 |  *   *   *   * 128  * |  0   0   2  0 1 |  1  0 2
. . . x3o3o4o ♦   8 |   0  24 |  0   0   0   32 |   0   0    0   0  16 |  *   *   *   *   * 40 |  0   0   0  2 1 |  0  1 2
--------------+-----+---------+-----------------+----------------------+-----------------------+-----------------+--------
x4o o3x3o . . ♦  24 |  24  48 |  6  48  16   16 |  12  16   16   4   0 |  4   4   4   0   0  0 | 80   *   *  * * |  2  0 0
x4o . x3o3o . ♦  16 |  16  24 |  4  24   0   16 |   6   0   16   0   4 |  0   4   0   4   0  0 |  * 160   *  * * |  1  1 0
x . o3x3o3o . ♦  20 |  10  60 |  0  30  20   40 |   0  10   20  10  10 |  0   0   5   5   2  0 |  *   * 128  * * |  1  0 1
x . . x3o3o4o ♦  16 |   8  48 |  0  24   0   64 |   0   0   32   0  32 |  0   0   0  16   0  2 |  *   *   * 40 * |  0  1 1
. . o3x3o3o4o ♦  40 |   0 240 |  0   0  80  320 |   0   0    0  80 160 |  0   0   0   0  32 10 |  *   *   *  * 4 |  0  0 2
--------------+-----+---------+-----------------+----------------------+-----------------------+-----------------+--------
x4o o3x3o3o . ♦  40 |  40 120 | 10 120  40   80 |  30  40   80  20  20 | 10  20  20  20   4  0 |  5   5   4  0 0 | 32  * *
x4o . x3o3o4o ♦  32 |  32  96 |  8  96   0  128 |  24   0  128   0  64 |  0  32   0  64   0  4 |  0  16   0  4 0 |  * 10 *
x . o3x3o3o4o ♦  80 |  40 480 |  0 240 160  640 |   0  80  320 160 320 |  0   0  80 160  64 20 |  0   0  32 10 2 |  *  * 4
```

```xx oo3xx3oo3oo4oo&#x   → height = 1
(ratip || ratip)

o. o.3o.3o.3o.4o.    & | 160 |  1  12  1 |  12   6   24  1  12 |   6  24  12  16  12   6  24 |  12  16   8  2  6  24  12  16 |  8  2 1 12  16  8  2 | 1  8  2 1
-----------------------+-----+-----------+---------------------+-----------------------------+-------------------------------+----------------------+----------
x. .. .. .. .. ..    & |   2 | 80   *  * |  12   0    0  1   0 |   6  24   0   0  12   0   0 |  12  16   0  0  6  24   0   0 |  8  2 0 12  16  0  0 | 1  8  2 0
.. .. x. .. .. ..    & |   2 |  * 960  * |   1   1    4  0   1 |   1   4   4   4   1   1   4 |   4   4   4  1  1   4   4   4 |  4  1 1  4   4  4  1 | 1  4  1 1
oo oo3oo3oo3oo4oo&#x   |   2 |  *   * 80 |   0   0    0  1  12 |   0   0   0   0  12   6  24 |   0   0   0  0  6  24  12  16 |  0  0 0 12  16  8  2 | 0  8  2 1
-----------------------+-----+-----------+---------------------+-----------------------------+-------------------------------+----------------------+----------
x. .. x. .. .. ..    & |   4 |  2   2  0 | 480   *    *  *   * |   1   4   0   0   1   0   0 |   4   4   0  0  1   4   0   0 |  4  1 0  4   4  0  0 | 1  4  1 0
.. o.3x. .. .. ..    & |   3 |  0   3  0 |   * 320    *  *   * |   1   0   4   0   0   1   0 |   4   0   4  0  1   0   4   0 |  4  0 1  4   0  4  0 | 1  4  0 1
.. .. x.3o. .. ..    & |   3 |  0   3  0 |   *   * 1280  *   * |   0   1   1   2   0   0   1 |   1   2   2  1  0   1   1   2 |  2  1 1  1   2  2  1 | 1  2  1 1
xx .. .. .. .. ..&#x   |   4 |  2   0  2 |   *   *    * 40   * ♦   0   0   0   0  12   0   0 |   0   0   0  0  6  24   0   0 |  0  0 0 12  16  0  0 | 0  8  2 0
.. .. xx .. .. ..&#x   |   4 |  0   2  2 |   *   *    *  * 480 |   0   0   0   0   1   1   4 |   0   0   0  0  1   4   4   4 |  0  0 0  4   4  4  1 | 0  4  1 1
-----------------------+-----+-----------+---------------------+-----------------------------+-------------------------------+----------------------+----------
x. o.3x. .. .. ..    & ♦   6 |  3   6  0 |   3   2    0  0   0 | 160   *   *   *   *   *   * |   4   0   0  0  1   0   0   0 |  4  0 0  4   0  0  0 | 1  4  0 0
x. .. x.3o. .. ..    & ♦   6 |  3   6  0 |   3   0    2  0   0 |   * 640   *   *   *   *   * |   1   2   0  0  0   1   0   0 |  2  1 0  1   2  0  0 | 1  2  1 0
.. o.3x.3o. .. ..    & ♦   6 |  0  12  0 |   0   4    4  0   0 |   *   * 320   *   *   *   * |   1   0   2  0  0   0   1   0 |  2  0 1  1   0  2  0 | 1  2  0 1
.. .. x.3o.3o. ..    & ♦   4 |  0   6  0 |   0   0    4  0   0 |   *   *   * 640   *   *   * |   0   1   1  1  0   0   0   1 |  1  1 1  0   1  1  1 | 1  1  1 1
xx .. xx .. .. ..&#x   ♦   8 |  4   4  4 |   2   0    0  2   2 |   *   *   *   * 240   *   * ♦   0   0   0  0  1   4   0   0 |  0  0 0  4   4  0  0 | 0  4  1 0
.. oo3xx .. .. ..&#x   ♦   6 |  0   6  3 |   0   2    0  0   3 |   *   *   *   *   * 160   * |   0   0   0  0  1   0   4   0 |  0  0 0  4   0  4  0 | 0  4  0 1
.. .. xx3oo .. ..&#x   ♦   6 |  0   6  3 |   0   0    2  0   3 |   *   *   *   *   *   * 640 |   0   0   0  0  0   1   1   2 |  0  0 0  1   2  2  1 | 0  2  1 1
-----------------------+-----+-----------+---------------------+-----------------------------+-------------------------------+----------------------+----------
x. o.3x.3o. .. ..    & ♦  12 |  6  24  0 |  12   8    8  0   0 |   4   4   2   0   0   0   0 | 160   *   *  *  *   *   *   * |  2  0 0  1   0  0  0 | 1  2  0 0
x. .. x.3o.3o. ..    & ♦   8 |  4  12  0 |   6   0    8  0   0 |   0   4   0   2   0   0   0 |   * 320   *  *  *   *   *   * |  1  1 0  0   1  0  0 | 1  1  1 0
.. o.3x.3o.3o. ..    & ♦  10 |  0  30  0 |   0  10   20  0   0 |   0   0   5   5   0   0   0 |   *   * 128  *  *   *   *   * |  1  0 1  0   0  1  0 | 1  1  0 1
.. .. x.3o.3o.4o.    & ♦   8 |  0  24  0 |   0   0   32  0   0 |   0   0   0  16   0   0   0 |   *   *   * 40  *   *   *   * |  0  1 1  0   0  0  1 | 1  0  1 1
xx oo3xx .. .. ..&#x   ♦  12 |  6  12  6 |   6   4    0  3   6 |   2   0   0   0   3   2   0 |   *   *   *  * 80   *   *   * |  0  0 0  4   0  0  0 | 0  4  0 0
xx .. xx3oo .. ..&#x   ♦  12 |  6  12  6 |   6   0    4  3   6 |   0   2   0   0   3   0   2 |   *   *   *  *  * 320   *   * |  0  0 0  1   2  0  0 | 0  2  1 0
.. oo3xx3oo .. ..&#x   ♦  12 |  0  24  6 |   0   8    8  0  12 |   0   0   2   0   0   4   4 |   *   *   *  *  *   * 160   * |  0  0 0  1   0  2  0 | 0  2  0 1
.. .. xx3oo3oo ..&#x   ♦   8 |  0  12  4 |   0   0    8  0   6 |   0   0   0   2   0   0   4 |   *   *   *  *  *   *   * 320 |  0  0 0  0   1  1  1 | 0  1  1 1
-----------------------+-----+-----------+---------------------+-----------------------------+-------------------------------+----------------------+----------
x. o.3x.3o.3o. ..    & ♦  20 | 10  60  0 |  30  20   40  0   0 |  10  20  10  10   0   0   0 |   5   5   2  0  0   0   0   0 | 64  * *  *   *  *  * | 1  1  0 0
x. .. x.3o.3o.4o.    & ♦  16 |  8  48  0 |  24   0   64  0   0 |   0  32   0  32   0   0   0 |   0  16   0  2  0   0   0   0 |  * 20 *  *   *  *  * | 1  0  1 0
.. o.3x.3o.3o.4o.    & ♦  40 |  0 240  0 |   0  80  320  0   0 |   0   0  80 160   0   0   0 |   0   0  32 10  0   0   0   0 |  *  * 4  *   *  *  * | 1  0  0 1
xx oo3xx3oo .. ..&#x   ♦  24 | 12  48 12 |  24  16   16  6  24 |   8   8   4   0  12   8   8 |   2   0   0  0  4   4   2   0 |  *  * * 80   *  *  * | 0  2  0 0
xx .. xx3oo3oo ..&#x   ♦  16 |  8  24  8 |  12   0   16  4  12 |   0   8   0   4   6   0   8 |   0   2   0  0  0   4   0   2 |  *  * *  * 160  *  * | 0  1  1 0
.. oo3xx3oo3oo ..&#x   ♦  20 |  0  60 10 |   0  20   40  0  30 |   0   0  10  10   0  10  20 |   0   0   2  0  0   0   5   5 |  *  * *  *   * 64  * | 0  1  0 1
.. .. xx3oo3oo3oo&#x   ♦  16 |  0  48  8 |   0   0   64  0  24 |   0   0   0  32   0   0  32 |   0   0   0  2  0   0   0  16 |  *  * *  *   *  * 20 | 0  0  1 1
-----------------------+-----+-----------+---------------------+-----------------------------+-------------------------------+----------------------+----------
x. o.3x.3o.3o.4o.    & ♦  80 | 40 480  0 | 240 160  640  0   0 |  80 320 160 320   0   0   0 |  80 160  64 20  0   0   0   0 | 32 10 2  0   0  0  0 | 2  *  * *
xx oo3xx3oo3oo ..&#x   ♦  40 | 20 120 20 |  60  40   80 10  60 |  20  40  20  20  30  20  40 |  10  10   4  0 10  20  10  10 |  2  0 0  5   5  2  0 | * 32  * *
xx .. xx3oo3oo3oo&#x   ♦  32 | 16  96 16 |  48   0  128  8  48 |   0  64   0  64  24   0  64 |   0  32   0  4  0  32   0  32 |  0  2 0  0  16  0  2 | *  * 10 *
.. oo3xx3oo3oo3oo&#x   ♦  80 |  0 480 40 |   0 160  640  0 240 |   0   0 160 320   0  80 320 |   0   0  64 20  0   0  80 160 |  0  0 2  0   0 32 10 | *  *  * 2
```