Acronym sirgashia Name small rhombated grand stellated hecatonicosachoron alterprism Circumradius (1+sqrt(5))/2 = 1.618034 Confer general polytopal classes: segmentotera   scaliform

As abstract polytope sirgashia is isomorphic to sirghia, thereby interchanging pentagons and pentagrams resp. replacing stips by pips and interchanging paps with staps, as well as replacing sirgashis by sirghis and stafes by pafs.

Incidence matrix according to Dynkin symbol

```xo5/2ox5xo5/2ox&#x   → height = sqrt[10 sqrt(5)-22] = 0.600566
(sirgashi || inv sirgashi)

o.5/2o.5o.5/2o.    & | 7200 |    2     4     4 |    1    4    2    2     6     6 |   2    2   1    4    5    2    2 | 1   3    3
---------------------+------+------------------+---------------------------------+----------------------------------+-----------
x.   .. ..   ..    & |    2 | 7200     *     * |    1    2    0    0     2     0 |   2    1   0    2    2    1    0 | 1   2    2
..   .. x.   ..    & |    2 |    * 14400     * |    0    1    1    1     0     1 |   1    1   1    1    1    0    1 | 1   2    1
oo5/2oo5oo5/2oo&#x   |    2 |    *     * 14400 |    0    0    0    0     2     2 |   0    0   0    2    2    1    1 | 0   2    2
---------------------+------+------------------+---------------------------------+----------------------------------+-----------
x.5/2o. ..   ..    & |    5 |    5     0     0 | 1440    *    *    *     *     * |   2    0   0    2    0    0    0 | 1   2    1
x.   .. x.   ..    & |    4 |    2     2     0 |    * 7200    *    *     *     * |   1    1   0    0    1    0    0 | 1   1    1
..   o.5x.   ..    & |    5 |    0     5     0 |    *    * 2880    *     *     * |   1    0   1    0    0    0    1 | 1   2    0
..   .. x.5/2o.    & |    5 |    0     5     0 |    *    *    * 2880     *     * |   0    1   1    1    0    0    0 | 1   1    1
xo   .. ..   ..&#x & |    3 |    1     0     2 |    *    *    *    * 14400     * |   0    0   0    1    1    1    0 | 0   1    2
..   ox ..   ..&#x & |    3 |    0     1     2 |    *    *    *    *     * 14400 |   0    0   0    1    1    0    1 | 0   2    1
---------------------+------+------------------+---------------------------------+----------------------------------+-----------
x.5/2o.5x.   ..    & ♦   60 |   60    60     0 |   12   30   12    0     0     0 | 240    *   *    *    *    *    * | 1   1    0
x.   .. x.5/2o.    & ♦   10 |    5    10     0 |    0    5    0    2     0     0 |   * 1440   *    *    *    *    * | 1   0    1
..   o.5x.5/2o.    & ♦   30 |    0    60     0 |    0    0   12   12     0     0 |   *    * 240    *    *    *    * | 1   1    0
xo5/2ox ..   ..&#x & ♦   10 |    5     5    10 |    1    0    0    1     5     5 |   *    *   * 2880    *    *    * | 0   1    1
xo   .. xo   ..&#x & ♦    5 |    2     2     4 |    0    1    0    0     2     2 |   *    *   *    * 7200    *    * | 0   1    1
xo   .. ..   ox&#x   ♦    4 |    2     0     4 |    0    0    0    0     4     0 |   *    *   *    *    * 3600    * | 0   0    2
..   ox5xo   ..&#x   ♦   10 |    0    10    10 |    0    0    2    0     0    10 |   *    *   *    *    *    * 1440 | 0   2    0
---------------------+------+------------------+---------------------------------+----------------------------------+-----------
x.5/2o.5x.5/2o.    & ♦ 3600 | 3600  7200     0 |  720 3600 1440 1440     0     0 | 120  720 120    0    0    0    0 | 2   *    *
xo5/2ox5xo   ..&#x & ♦   90 |   60   120   120 |   12   30   24   12    60   120 |   1    0   1   12   30    0   12 | * 240    *
xo5/2ox ..   ox&#x & ♦   15 |   10    10    20 |    1    5    0    2    20    10 |   0    1   0    2    5    5    0 | *   * 1440
```

 © 2004-2019 top of page