|
|
A268184
|
|
Number of n-isohedral edge-to-edge tilings of regular polygons.
|
|
2
|
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
An n-isohedral tiling has n transitivity classes (or "orbits") of faces with respect to the symmetry group of the tiling.
|
|
LINKS
|
D. Chavey, Tiling by Regular Polygons II: A Catalog of Tilings, Computers & Mathematics with Applications, Volume 17, Issues 1-3, 1989, Pages 147-165, illustrates 27 of the 29 3-isohedral edge-to-edge tilings of regular polygons, but classifies one (3^3.4^2; 3^2.4.3.4)2 on page 152 as 6-isohedral.
|
|
EXAMPLE
|
The three 1-isohedral tilings are the regular tilings (triangles, squares, hexagons). Of the 13 2-isohedral tilings, there are three with triangles and squares, eight with triangles and hexagons, one with triangles and dodecagons, and one with squares and octagons.
|
|
CROSSREFS
|
Analogous to the n-uniform edge-to-edge tilings, which has n orbits of vertices, as opposed to faces (A068599).
|
|
KEYWORD
|
hard,more,nice,nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|