Acronym bitapech Name hyperbolic bitruncated alternated order-5 cubic honeycomb,runcicantic order-5 cubic honeycomb Circumradius sqrt[-(27+17 sqrt(5))/8] = 2.850727 i Vertex figure ` ©` Externallinks

Incidence matrix according to Dynkin symbol

```x3x3o *b5x   (N → ∞)

. . .    . | 60N |   1   2   1 |   2   1   1   2 |  1 2 1
-----------+-----+-------------+-----------------+-------
x . .    . |   2 | 30N   *   * |   2   1   0   0 |  1 2 0
. x .    . |   2 |   * 60N   * |   1   0   1   1 |  1 1 1
. . .    x |   2 |   *   * 30N |   0   1   0   2 |  0 2 1
-----------+-----+-------------+-----------------+-------
x3x .    . |   6 |   3   3   0 | 20N   *   *   * |  1 1 0
x . .    x |   4 |   2   0   2 |   * 15N   *   * |  0 2 0
. x3o    . |   3 |   0   3   0 |   *   * 20N   * |  1 0 1
. x . *b5x |  10 |   0   5   5 |   *   *   * 12N |  0 1 1
-----------+-----+-------------+-----------------+-------
x3x3o    . ♦  12 |   6  12   0 |   4   0   4   0 | 5N * *
x3x . *b5x ♦ 120 |  60  60  60 |  20  30   0  12 |  * N *
. x3o *b5x ♦  60 |   0  60  30 |   0   0  20  12 |  * * N
```

```s4o3x5x   (N → ∞)

demi( . . . . ) | 60N |   2   1   1 |   1   2   1   2 | 1  1 2
----------------+-----+-------------+-----------------+-------
demi( . . x . ) |   2 | 60N   *   * |   1   1   0   1 | 1  1 1
demi( . . . x ) |   2 |   * 30N   * |   0   2   1   0 | 1  0 2
s4o . .   |   2 |   *   * 30N |   0   0   1   2 | 0  1 2
----------------+-----+-------------+-----------------+-------
demi( . o3x . ) |   3 |   3   0   0 | 20N   *   *   * | 1  1 0
demi( . . x5x ) |  10 |   5   5   0 |   * 12N   *   * | 1  0 1
s4o 2 x   |   4 |   0   2   2 |   *   * 15N   * | 0  0 2
sefa( s4o3x . ) |   6 |   3   0   3 |   *   *   * 20N | 0  1 1
----------------+-----+-------------+-----------------+-------
demi( . o3x5x ) ♦  60 |  60  30   0 |  20  12   0   0 | N  * *
s4o3x .   ♦  12 |  12   0   6 |   4   0   0   4 | * 5N *
sefa( s4o3x5x ) ♦ 120 |  60  60  60 |   0  12  30  20 | *  * N

starting figure: x4o3x5x
```