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2. Einstein problem - Wikipedia

   en.wikipedia.org/wiki/Einstein_problem

   Aperiodic tiling with "Tile(1,1)". The tiles are colored according to their rotational orientation modulo 60 degrees. ( Smith, Myers, Kaplan, and Goodman-Strauss) In plane geometry, the einstein problem asks about the existence of a single prototile that by itself forms an aperiodic set of prototiles; that is, a shape that can tessellate space but only in a nonperiodic way.

3. Aperiodic tiling - Wikipedia

   en.wikipedia.org/wiki/Aperiodic_tiling

   An aperiodic tiling using a single shape and its reflection, discovered by David Smith. An aperiodic tiling is a non-periodic tiling with the additional property that it does not contain arbitrarily large periodic regions or patches. A set of tile-types (or prototiles) is aperiodic if copies of these tiles can form only non- periodic tilings.

4. Cairo pentagonal tiling - Wikipedia

   en.wikipedia.org/wiki/Cairo_pentagonal_tiling

   Cairo pentagonal tiling. In geometry, a Cairo pentagonal tiling is a tessellation of the Euclidean plane by congruent convex pentagons, formed by overlaying two tessellations of the plane by hexagons and named for its use as a paving design in Cairo. It is also called MacMahon's net [1] after Percy Alexander MacMahon, who depicted it in his ...

5. Toynbee tiles - Wikipedia

   en.wikipedia.org/wiki/Toynbee_tiles

   These tiles were glued with a thicker layer of asphalt glue or sealant than older ones. [citation needed] Usage Deployment. Toynbee-tile enthusiast Justin Duerr claims to have once found and examined a newly installed tile. This new tile was wrapped in tar paper and placed on a busy street early in the morning. From this find and other evidence ...

6. Wang tile - Wikipedia

   en.wikipedia.org/wiki/Wang_tile

   Wang tiles (or Wang dominoes ), first proposed by mathematician, logician, and philosopher Hao Wang in 1961, are a class of formal systems. They are modelled visually by square tiles with a color on each side. A set of such tiles is selected, and copies of the tiles are arranged side by side with matching colors, without rotating or reflecting ...

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   Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!