page_title: Pinwheel tiling
section_title: Generalizations
hierarchical_section_title: Pinwheel tiling / Generalizations
caption_attribution_description: English: Fractal based on Conway's pinwheel tile.
context_page_description: In geometry, pinwheel tilings are non-periodic tilings defined by Charles Radin and based on a construction due to John Conway.
  They are the first known non-periodic tilings to each have the property that their tiles appear in infinitely many orientations.
context_section_description: Radin and Conway proposed a three-dimensional analogue which was dubbed the quaquaversal tiling. There are other variants and generalizations of the original idea.
  One gets a fractal by iteratively dividing  in five isometrics copies, following the Conway construction, and discarding the middle triangle (ad infinitum). This "pinwheel fractal" has Hausdorff dimension .
caption: Pinwheel fractal
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