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- Einstein_problem abstract "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. Such a shape is called an "einstein", a play on the German words ein stein, meaning one tile. Depending on the particular definitions of nonperiodicity and the specifications of what sets may qualify as tiles and what types of matching rules are permitted, the problem is either open or solved. The einstein problem can be seen as a natural extension of the second part of Hilbert's eighteenth problem, which asks for a single polyhedron that tiles Euclidean 3-space, but such that no tessellation by this polyhedron is isohedral. Such anisohedral tiles were found by Karl Reinhardt in 1928, but these anisohedral tiles all tile space periodically.".
- Einstein_problem thumbnail Socolar-Taylor_tile.svg?width=300.
- Einstein_problem wikiPageID "43542926".
- Einstein_problem wikiPageLength "4921".
- Einstein_problem wikiPageOutDegree "20".
- Einstein_problem wikiPageRevisionID "677273597".
- Einstein_problem wikiPageWikiLink Anisohedral_tiling.
- Einstein_problem wikiPageWikiLink Aperiodic_set_of_prototiles.
- Einstein_problem wikiPageWikiLink Aperiodic_tiling.
- Einstein_problem wikiPageWikiLink Category:Aperiodic_tilings.
- Einstein_problem wikiPageWikiLink Category:Unsolved_problems_in_mathematics.
- Einstein_problem wikiPageWikiLink Convex_set.
- Einstein_problem wikiPageWikiLink Cyclic_group.
- Einstein_problem wikiPageWikiLink Euclidean_group.
- Einstein_problem wikiPageWikiLink Euclidean_motion.
- Einstein_problem wikiPageWikiLink Euclidean_plane.
- Einstein_problem wikiPageWikiLink Hilberts_eighteenth_problem.
- Einstein_problem wikiPageWikiLink Infinite_cyclic_group.
- Einstein_problem wikiPageWikiLink Isohedral.
- Einstein_problem wikiPageWikiLink Isohedral_figure.
- Einstein_problem wikiPageWikiLink John_Horton_Conway.
- Einstein_problem wikiPageWikiLink Karl_Reinhardt_(mathematician).
- Einstein_problem wikiPageWikiLink Prototile.
- Einstein_problem wikiPageWikiLink Schmitt–Conway–Danzer_tile.
- Einstein_problem wikiPageWikiLink Screw_axis.
- Einstein_problem wikiPageWikiLink Socolar–Taylor_tile.
- Einstein_problem wikiPageWikiLink Tessellation.
- Einstein_problem wikiPageWikiLink Translation_(geometry).
- Einstein_problem wikiPageWikiLink Two-dimensional_space.
- Einstein_problem wikiPageWikiLink File:Socolar-Taylor_tile.svg.
- Einstein_problem wikiPageWikiLinkText "einstein problem".
- Einstein_problem wikiPageWikiLinkText "einstein".
- Einstein_problem hasPhotoCollection Einstein_problem.
- Einstein_problem wikiPageUsesTemplate Template:Reflist.
- Einstein_problem wikiPageUsesTemplate Template:Tessellation.
- Einstein_problem subject Category:Aperiodic_tilings.
- Einstein_problem subject Category:Unsolved_problems_in_mathematics.
- Einstein_problem comment "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. Such a shape is called an "einstein", a play on the German words ein stein, meaning one tile. Depending on the particular definitions of nonperiodicity and the specifications of what sets may qualify as tiles and what types of matching rules are permitted, the problem is either open or solved.".
- Einstein_problem label "Einstein problem".
- Einstein_problem sameAs m.011ljg7g.
- Einstein_problem sameAs Q18204561.
- Einstein_problem sameAs Q18204561.
- Einstein_problem wasDerivedFrom Einstein_problem?oldid=677273597.
- Einstein_problem depiction Socolar-Taylor_tile.svg.
- Einstein_problem isPrimaryTopicOf Einstein_problem.