Acronym srothat (old: rothat) Name (small) rhombitrihexagonal tiling ` ©   ` Vertex figure [3,4,6,4] General of army (is itself convex) Colonel of regiment (is itself locally convex – other uniform tiling member: shothat ) Confer Grünbaumian relatives: 2rothat   uniform relative: trat   related CRF tilings: pextrat   pacrothat   general polytopal classes: partial Stott expansions Externallinks

This tiling allows for a consistent 3-coloring of the hexagons. When choosing 2 such colors, this would provide way for a partial (tripesic) Stott contraction, resulting in pacrothat.

As abstract polytope rothat is isomorphic to qrothat, therby making both the triangles and the hexagons retrograde.

Incidence matrix according to Dynkin symbol

```x3o6x   (N → ∞)

. . . | 6N |  2  2 |  1  2 1
------+----+-------+--------
x . . |  2 | 6N  * |  1  1 0
. . x |  2 |  * 6N |  0  1 1
------+----+-------+--------
x3o . |  3 |  3  0 | 2N  * *
x . x |  4 |  2  2 |  * 3N *
. o6x |  6 |  0  6 |  *  * N

snubbed forms: β3o6x, x3o6s
```

```x3/2o6/5x   (N → ∞)

.   .   . | 6N |  2  2 |  1  2 1
----------+----+-------+--------
x   .   . |  2 | 6N  * |  1  1 0
.   .   x |  2 |  * 6N |  0  1 1
----------+----+-------+--------
x3/2o   . |  3 |  3  0 | 2N  * *
x   .   x |  4 |  2  2 |  * 3N *
.   o6/5x |  6 |  0  6 |  *  * N
```

```s3s6x (N → ∞)

demi( . . . ) | 6N |  1  2  1 |  1 1  2
--------------+----+----------+--------
demi( . . x ) |  2 | 3N  *  * |  0 1  1
sefa( s3s . ) |  2 |  * 6N  * |  1 0  1
sefa( . s6x ) |  2 |  *  * 3N |  0 1  1
--------------+----+----------+--------
s3s .   ♦  3 |  0  3  0 | 2N *  *
. s6x   ♦  6 |  3  0  3 |  * N  *
sefa( s3s6x ) |  4 |  1  2  1 |  * * 3N

starting figure: x3x6x
```