page_title: Pentomino
section_title: Architecture
hierarchical_section_title: Pentomino / Architecture
caption_attribution_description: English: Plattenbau building decorated with Pentomino tiles, Varna, Bulgaria Български: Външна декорация на едропанелен жилищен блок с мотив от пентамина.
context_page_description: A pentomino is a polyomino of order 5, that is, a polygon in the plane made of 5 equal-sized squares connected edge-to-edge. When rotations and reflections are not considered to be distinct shapes, there are 12 different free pentominoes. When reflections are considered distinct, there are 18 one-sided pentominoes. When rotations are also considered distinct, there are 63 fixed pentominoes.
  Pentomino tiling puzzles and games are popular in recreational mathematics. Usually, video games such as Tetris imitations and Rampart consider mirror reflections to be distinct, and thus use the full set of 18 one-sided pentominoes.
  Each of the twelve pentominoes satisfies the Conway criterion; hence every pentomino is capable of tiling the plane. Each chiral pentomino can tile the plane without being reflected.
context_section_description: On several occasions, pentominoes had been used as decoration elements for outer walls of Plattenbau buildings, mainly in Eastern Europe. The patterns used were based on solutions of the 6×10 case puzzle.
caption: Plattenbau building decorated with Pentomino tiles, Varna, Bulgaria
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