Acronym ... Name hyperbolic birectified order 5 hecatonicosachoric tetracomb Circumradius sqrt[-sqrt(5)]/2 = 0.747674 i Confer general polytopal classes: noble polytopes

Incidence matrix according to Dynkin symbol

```o5o3x3o5o   (N → ∞)

. . . . . | 144N ♦    25 |    25    25 |   5   25   5 | 5 5
----------+------+-------+-------------+--------------+----
. . x . . |    2 | 1800N |     2     2 |   1    4   1 | 2 2
----------+------+-------+-------------+--------------+----
. o3x . . |    3 |     3 | 1200N     * |   1    2   0 | 2 1
. . x3o . |    3 |     3 |     * 1200N |   0    2   1 | 1 2
----------+------+-------+-------------+--------------+----
o5o3x . . ♦   12 |    30 |    20     0 | 60N    *   * | 2 0
. o3x3o . ♦    6 |    12 |     4     4 |   * 600N   * | 1 1
. . x3o5o ♦   12 |    30 |     0    20 |   *    * 60N | 0 2
----------+------+-------+-------------+--------------+----
o5o3x3o . ♦  720 |  3600 |  2400  1200 | 120  600   0 | N *
. o3x3o5o ♦  720 |  3600 |  1200  2400 |   0  600 120 | * N
```
```or
. . . . .   | 72N ♦   25 |    50 |  10   25 | 10
------------+-----+------+-------+----------+---
. . x . .   |   2 | 900N |     4 |   2    4 |  4
------------+-----+------+-------+----------+---
. o3x . . & |   3 |    3 | 1200N |   1    2 |  3
------------+-----+------+-------+----------+---
o5o3x . . & ♦  12 |   30 |    20 | 60N    * |  2
. o3x3o .   ♦   6 |   12 |     8 |   * 300N |  2
------------+-----+------+-------+----------+---
o5o3x3o . & ♦ 720 | 3600 |  3600 | 120  600 |  N
```