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- Heeschs_problem abstract "In geometry, the Heesch number of a shape is the maximum number of layers of copies of the same shape that can surround it. Heesch's problem is the problem of determining the set of numbers that can be Heesch numbers. Both are named for geometer Heinrich Heesch, who found a tile with Heesch number 1 (the union of a square, equilateral triangle, and 30-60-90 right triangle) and proposed the more general problem.For example, a square may be surrounded by infinitely many layers of congruent squares in the square tiling, while a circle cannot be surrounded by even a single layer of congruent circles without leaving some gaps. The Heesch number of the square is infinite and the Heesch number of the circle is zero. In more complicated examples, such as the one shown in the illustration, a polygonal tile can be surrounded by several layers, but not by infinitely many; the maximum number of layers is the tile's Heesch number.".
- Heeschs_problem thumbnail Heesch-5.svg?width=300.
- Heeschs_problem wikiPageExternalLink heesch.
- Heeschs_problem wikiPageExternalLink heesch.html.
- Heeschs_problem wikiPageID "1561945".
- Heeschs_problem wikiPageLength "6336".
- Heeschs_problem wikiPageOutDegree "13".
- Heeschs_problem wikiPageRevisionID "649580312".
- Heeschs_problem wikiPageWikiLink Category:Tessellation.
- Heeschs_problem wikiPageWikiLink Congruence_(geometry).
- Heeschs_problem wikiPageWikiLink Geometry.
- Heeschs_problem wikiPageWikiLink Heinrich_Heesch.
- Heeschs_problem wikiPageWikiLink Hyperbolic_geometry.
- Heeschs_problem wikiPageWikiLink Hyperbolic_plane.
- Heeschs_problem wikiPageWikiLink Kxc3xb6nigs_lemma.
- Heeschs_problem wikiPageWikiLink Polygon.
- Heeschs_problem wikiPageWikiLink Polyomino.
- Heeschs_problem wikiPageWikiLink Robert_Ammann.
- Heeschs_problem wikiPageWikiLink Simply_connected.
- Heeschs_problem wikiPageWikiLink Simply_connected_space.
- Heeschs_problem wikiPageWikiLink Square_tiling.
- Heeschs_problem wikiPageWikiLink Tessellation.
- Heeschs_problem wikiPageWikiLink File:Heesch-5.svg.
- Heeschs_problem wikiPageWikiLinkText "Heesch's problem".
- Heeschs_problem hasPhotoCollection Heeschs_problem.
- Heeschs_problem id "HeeschNumber".
- Heeschs_problem title "Heesch Number".
- Heeschs_problem wikiPageUsesTemplate Template:Cite_web.
- Heeschs_problem wikiPageUsesTemplate Template:Harvtxt.
- Heeschs_problem wikiPageUsesTemplate Template:Mathworld.
- Heeschs_problem wikiPageUsesTemplate Template:Reflist.
- Heeschs_problem wikiPageUsesTemplate Template:Tessellation.
- Heeschs_problem subject Category:Tessellation.
- Heeschs_problem hypernym Number.
- Heeschs_problem comment "In geometry, the Heesch number of a shape is the maximum number of layers of copies of the same shape that can surround it. Heesch's problem is the problem of determining the set of numbers that can be Heesch numbers.".
- Heeschs_problem label "Heesch's problem".
- Heeschs_problem sameAs m.05bktn.
- Heeschs_problem sameAs Q17022147.
- Heeschs_problem sameAs Q17022147.
- Heeschs_problem wasDerivedFrom Heeschs_problemoldid=649580312.
- Heeschs_problem depiction Heesch-5.svg.
- Heeschs_problem isPrimaryTopicOf Heeschs_problem.