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 |
|
External links |
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 srothat 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
© 2004-2024 | top of page |