About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 58. Chapters: Squaring the square, Wang tile, Quasicrystal, Prototile, Penrose tiling, List of aperiodic sets of tiles, Aperiodic tiling, Uniform tiling, Tessellation, Mathematical tile, Triangle group, List of isotoxal polyhedra and tilings, Tiling by regular polygons, Hexagonal tiling, Honeycomb, Ammann-Beenker tiling, Girih tiles, Substitution tiling, Spherical polyhedron, Pinwheel tiling, (2,3,7) triangle group, Anisohedral tiling, Uniform tessellation, Rhombille tiling, Dissection puzzle, Order-3 heptagonal tiling, Bisected hexagonal tiling, Heesch's problem, List of uniform tilings, Triangular tiling, Uniform tilings in hyperbolic plane, Square tiling, Order-7 triangular tiling, Domino problem, Harmonious set, Snub square tiling, Hosohedron, Trihexagonal tiling, Pentagon tiling, Truncated trihexagonal tiling, Order-3 bisected heptagonal tiling, Truncated hexagonal tiling, Rhombitrihexagonal tiling, Truncated square tiling, Rhombitriheptagonal tiling, Order-4 pentagonal tiling, Order-3 truncated heptagonal tiling, Cairo pentagonal tiling, Floret pentagonal tiling, Snub hexagonal tiling, Truncated triheptagonal tiling, Order-3 snub heptagonal tiling, Deltoidal trihexagonal tiling, Tetrakis square tiling, Triakis triangular tiling, Regular grid, Order-7 truncated triangular tiling, Elongated triangular tiling, Smoothed octagon, Hilbert's eighteenth problem, Order-5 square tiling, Corner-point grid, Uniform coloring, 4-5 kisrhombille, Unstructured grid, Regular Division of the Plane, Prismatic pentagonal tiling, Darb-e Imam, Quaquaversal tiling, Tiling with rectangles, Quasiperiodic tiling. Excerpt: A Penrose tiling is a non-periodic tiling generated by an aperiodic set of prototiles named after Sir Roger Penrose, who investigated these sets in the 1970s. The aperiodicity of the Penrose prototiles implies that a shifted copy...
