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Three-dimensional edge-matching puzzle

A three-dimensional edge-matching puzzle is a type of edge-matching puzzle or tiling puzzle involving tiling a three-dimensional area with (typically regular) polygonal pieces whose edges are distinguished with colors or patterns, in such a way that the edges of adjacent pieces match. Edge-matching puzzles are known to be NP-complete, and capable of conversion to and from equivalent jigsaw puzzles and polyomino packing puzzle.[1]

Three-dimensional edge-matching puzzles are not currently under direct U.S. patent protection, since the 1892 patent by E. L. Thurston has expired.[2]

Current examples of commercial three-dimensional edge-matching puzzles include the Dodek Duo, The Enigma, Mental Misery,[3] and Kadon Enterprises' range of three-dimensional edge-matching puzzles.[4]

See alsoEdit


  1. ^ Erik D. Demaine, Martin L. Demaine. "Jigsaw Puzzles, Edge Matching, and Polyomino Packing: Connections and Complexity" (PDF). Retrieved 2007-08-12.
  2. ^ "Rob's puzzle page: Edge Matching". Retrieved 2007-08-12.
  3. ^ "Rob's puzzle page: Pattern Puzzles". Retrieved 2009-06-22.
  4. ^ "Kadon Enterprises, More About Edgematching". Retrieved 2009-06-22.

External linksEdit