Acronym ocat Name hyperbolic order 3 octagonal tiling ` ©` Circumradius sqrt[-3-3 sqrt(2)]/2 = 1.345608 i Vertex figure [83] Dual x3o8o Confer general polytopal classes: regular   noble polytopes Externallinks

The right picture shows a regular modwrap of this tiling, corresponding to N=2 in the below matrix. It can be considered to be a tiling of the 2 hole torus.

Incidence matrix according to Dynkin symbol

```o3o8x   (N → ∞)

. . . | 8N |   3 |  3
------+----+-----+---
. . x |  2 | 12N |  2
------+----+-----+---
. o8x |  8 |   8 | 3N

snubbed forms: o3o8s
```

```x4x8o   (N → ∞)

. . . | 8N |  1  2 |  2 1
------+----+-------+-----
x . . |  2 | 4N  * |  2 0
. x . |  2 |  * 8N |  1 1
------+----+-------+-----
x4x . |  8 |  4  4 | 2N *
. x8o |  8 |  0  8 |  * N

snubbed forms: s4s8o
```

```x4x4x4*a   (N → ∞)

. . .    | 8N |  1  1  1 | 1 1 1
---------+----+----------+------
x . .    |  2 | 4N  *  * | 1 1 0
. x .    |  2 |  * 4N  * | 1 0 1
. . x    |  2 |  *  * 4N | 0 1 1
---------+----+----------+------
x4x .    |  8 |  4  4  0 | N * *
x . x4*a |  8 |  4  0  4 | * N *
. x4x    |  8 |  0  4  4 | * * N

snubbed forms: s4s4s4*a
```

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