Acronym ... Name hyperbolic prismated order 5 dodecahedral tesselation,hyperbolic runcinated order 5 dodecahedral tesselation Circumradius sqrt[-(1+sqrt(5))/2] = 1.272020 i Vertex figure ` ©`

Incidence matrix according to Dynkin symbol

```x5o3o5x   (N → ∞)

. . . . | 20N |   3   3 |   3   6   3 | 1  3  3 1
--------+-----+---------+-------------+----------
x . . . |   2 | 30N   * |   2   2   0 | 1  2  1 0
. . . x |   2 |   * 30N |   0   2   2 | 0  1  2 1
--------+-----+---------+-------------+----------
x5o . . |   5 |   5   0 | 12N   *   * | 1  1  0 0
x . . x |   4 |   2   2 |   * 30N   * | 0  1  1 0
. . o5x |   5 |   0   5 |   *   * 12N | 0  0  1 1
--------+-----+---------+-------------+----------
x5o3o . ♦  20 |  30   0 |  12   0   0 | N  *  * *
x5o . x ♦  10 |  10   5 |   2   5   0 | * 6N  * *
x . o5x ♦  10 |   5  10 |   0   5   2 | *  * 6N *
. o3o5x ♦  20 |   0  30 |   0   0  12 | *  *  * N
```
```or
. . . .    | 10N |   6 |   6   6 | 2  6
-----------+-----+-----+---------+-----
x . . .  & |   2 | 30N |   2   2 | 1  3
-----------+-----+-----+---------+-----
x5o . .  & |   5 |   5 | 12N   * | 1  1
x . . x    |   4 |   4 |   * 15N | 0  2
-----------+-----+-----+---------+-----
x5o3o .  & ♦  20 |  30 |  12   0 | N  *
x5o . x  & ♦  10 |  15 |   2   5 | * 6N
```