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- Equidissection abstract "In geometry, an equidissection is a polygon that has been cut up into triangles of equal area. The study of equidissections began in the late 1960s with Monsky's theorem, which states that a square cannot be equidissected into an odd number of triangles. In fact, most polygons cannot be equidissected at all.Much of the literature is aimed at generalizing Monsky's theorem to broader classes of polygons. The general question is: Which polygons can be equidissected into how many pieces? Particular attention has been given to trapezoids, kites, regular polygons, centrally symmetric polygons, polyominos, and hypercubes.Equidissections do not have many direct applications. They are considered interesting because the results are counterintuitive at first, and for a geometry problem with such a simple definition, the theory requires some surprisingly sophisticated algebraic tools. Many of the results rely upon extending p-adic valuations to the real numbers and extending Sperner's lemma to more general colored graphs.".
- Equidissection thumbnail Square_dissected_into_6_equal_area_triangles_no_border.svg?width=300.
- Equidissection wikiPageExternalLink abstract9874.shtml.
- Equidissection wikiPageExternalLink table_contents_view.php?Len=&idx=33.
- Equidissection wikiPageExternalLink dissecting-trapezoids-into-triangles-of-equal-area.
- Equidissection wikiPageExternalLink tiling.ps.
- Equidissection wikiPageExternalLink schmitt_100130_1.pdf.
- Equidissection wikiPageExternalLink HMMT.pdf.
- Equidissection wikiPageExternalLink 1102734132.
- Equidissection wikiPageExternalLink purl?GDZPPN000364096.
- Equidissection wikiPageExternalLink purl?GDZPPN002438194.
- Equidissection wikiPageExternalLink v18i1p137.
- Equidissection wikiPageExternalLink 6480704.html.
- Equidissection wikiPageExternalLink 7006509.html.
- Equidissection wikiPageExternalLink 7841242.html.
- Equidissection wikiPageExternalLink 7841243.html.
- Equidissection wikiPageExternalLink 6984918.html.
- Equidissection wikiPageExternalLink tileiiserfinal.pdf.
- Equidissection wikiPageExternalLink Jepsen-equidissections-of-trapezoids.pdf.
- Equidissection wikiPageExternalLink Jepsen-kite-dissection.pdf.
- Equidissection wikiPageExternalLink Monsky-Jepsen-equidissections.pdf.
- Equidissection wikiPageExternalLink IJCCGGT(Sakai)f.pdf.
- Equidissection wikiPageExternalLink 982070.pdf.
- Equidissection wikiPageID "36643448".
- Equidissection wikiPageRevisionID "581689359".
- Equidissection hasPhotoCollection Equidissection.
- Equidissection subject Category:Affine_geometry.
- Equidissection subject Category:Discrete_geometry.
- Equidissection subject Category:Geometric_dissection.
- Equidissection comment "In geometry, an equidissection is a polygon that has been cut up into triangles of equal area. The study of equidissections began in the late 1960s with Monsky's theorem, which states that a square cannot be equidissected into an odd number of triangles. In fact, most polygons cannot be equidissected at all.Much of the literature is aimed at generalizing Monsky's theorem to broader classes of polygons.".
- Equidissection label "Equidissection".
- Equidissection label "Zerlegung in flächengleiche Dreiecke".
- Equidissection label "Équidissection".
- Equidissection sameAs Zerlegung_in_flächengleiche_Dreiecke.
- Equidissection sameAs Équidissection.
- Equidissection sameAs m.0klvvvt.
- Equidissection sameAs Q3589442.
- Equidissection sameAs Q3589442.
- Equidissection wasDerivedFrom Equidissection?oldid=581689359.
- Equidissection depiction Square_dissected_into_6_equal_area_triangles_no_border.svg.
- Equidissection isPrimaryTopicOf Equidissection.
