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2. Isohedral figure - Wikipedia

   en.wikipedia.org/wiki/Isohedral_figure

   Similarly, a k-isohedral tiling has k separate symmetry orbits (it may contain m different face shapes, for m = k, or only for some m < k). [ 6 ] ("1-isohedral" is the same as "isohedral".) A monohedral polyhedron or monohedral tiling ( m = 1) has congruent faces, either directly or reflectively, which occur in one or more symmetry positions.

3. Category:Isohedral tilings - Wikipedia

   en.wikipedia.org/wiki/Category:Isohedral_tilings

   Pages in category "Isohedral tilings" The following 76 pages are in this category, out of 76 total. ... Octagonal tiling; Order-1 digonal tiling; Order-2 apeirogonal ...

4. List of isotoxal polyhedra and tilings - Wikipedia

   en.wikipedia.org/wiki/List_of_isotoxal_polyhedra...

   The dual of a non-convex polyhedron is also a non-convex polyhedron. [2] ( By contraposition.) There are ten non-convex isotoxal polyhedra based on the quasiregular octahedron, cuboctahedron, and icosidodecahedron: the five (quasiregular) hemipolyhedra based on the quasiregular octahedron, cuboctahedron, and icosidodecahedron, and their five (infinite) duals:

5. Tilings and patterns - Wikipedia

   en.wikipedia.org/wiki/Tilings_and_patterns

   §2.1 Uniform tiling, Archimedean tiling, elongated triangular tiling, snub square tiling, truncated square tiling, truncated hexagonal tiling, trihexagonal tiling, snub trihexagonal tiling, rhombitrihexagonal tiling, §2.2 list of k-uniform tilings, demiregular tiling, 3-4-3-12 tiling, 3-4-6-12 tiling, 33344-33434 tiling, §2.3 k-isotoxal ...

6. Isogonal figure - Wikipedia

   en.wikipedia.org/wiki/Isogonal_figure

   A polytope or tiling may be called k-isogonal if its vertices form k transitivity classes. A more restrictive term, k-uniform is defined as a k-isogonal figure constructed only from regular polygons. They can be represented visually with colors by different uniform colorings.

7. Pentagonal tiling - Wikipedia

   en.wikipedia.org/wiki/Pentagonal_tiling

   All four tilings are 2-isohedral. The chiral pairs of tiles are colored in yellow and green for one isohedral set, and two shades of blue for the other set. The pgg symmetry is reduced to p2 when the chiral pairs are considered distinct. The tiling by type 9 tiles is edge-to-edge, but the others are not. Each primitive unit contains eight tiles.