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- Maekawas_theorem abstract "Maekawa's theorem is a theorem in the mathematics of paper folding named after Jun Maekawa. It relates to flat-foldable origami crease patterns and states that at every vertex, the numbers of valley and mountain folds always differ by two in either direction. The same result was also discovered by Jacques Justin.One consequence of Maekawa's theorem is that the total number of folds at each vertex must be an even number. This implies (via a form of planar graph duality between Eulerian graphs and bipartite graphs) that, for any flat-foldable crease pattern, it is always possible to color the regions between the creases with two colors, such that each crease separates regions of differing colors. The same result can also be seen by considering which side of the sheet of paper is uppermost in each region of the folded shape.".
- Maekawas_theorem thumbnail Kawasakis_theorem.jpgwidth=300.
- Maekawas_theorem wikiPageID "39459296".
- Maekawas_theorem wikiPageLength "2304".
- Maekawas_theorem wikiPageOutDegree "16".
- Maekawas_theorem wikiPageRevisionID "671210184".
- Maekawas_theorem wikiPageWikiLink Bipartite_graph.
- Maekawas_theorem wikiPageWikiLink Category:Mathematical_theorems.
- Maekawas_theorem wikiPageWikiLink Category:Paper_folding.
- Maekawas_theorem wikiPageWikiLink Category:Recreational_mathematics.
- Maekawas_theorem wikiPageWikiLink Crease_pattern.
- Maekawas_theorem wikiPageWikiLink Dual_graph.
- Maekawas_theorem wikiPageWikiLink Eulerian_graph.
- Maekawas_theorem wikiPageWikiLink Eulerian_path.
- Maekawas_theorem wikiPageWikiLink Even_number.
- Maekawas_theorem wikiPageWikiLink File:Kawasakis_theorem.jpg.
- Maekawas_theorem wikiPageWikiLink Graph_coloring.
- Maekawas_theorem wikiPageWikiLink Jun_Maekawa.
- Maekawas_theorem wikiPageWikiLink Kawasakis_theorem.
- Maekawas_theorem wikiPageWikiLink Mathematics_of_paper_folding.
- Maekawas_theorem wikiPageWikiLink Origami.
- Maekawas_theorem wikiPageWikiLink Parity_(mathematics).
- Maekawas_theorem wikiPageWikiLink Theorem.
- Maekawas_theorem wikiPageWikiLink Vertex_(geometry).
- Maekawas_theorem wikiPageWikiLinkText "Maekawa's theorem".
- Maekawas_theorem hasPhotoCollection Maekawas_theorem.
- Maekawas_theorem title "Maekawa's Theorem".
- Maekawas_theorem urlname "MaekawasTheorem".
- Maekawas_theorem wikiPageUsesTemplate Template:Elementary-geometry-stub.
- Maekawas_theorem wikiPageUsesTemplate Template:Mathworld.
- Maekawas_theorem wikiPageUsesTemplate Template:Reflist.
- Maekawas_theorem subject Category:Mathematical_theorems.
- Maekawas_theorem subject Category:Paper_folding.
- Maekawas_theorem subject Category:Recreational_mathematics.
- Maekawas_theorem hypernym Theorem.
- Maekawas_theorem comment "Maekawa's theorem is a theorem in the mathematics of paper folding named after Jun Maekawa. It relates to flat-foldable origami crease patterns and states that at every vertex, the numbers of valley and mountain folds always differ by two in either direction. The same result was also discovered by Jacques Justin.One consequence of Maekawa's theorem is that the total number of folds at each vertex must be an even number.".
- Maekawas_theorem label "Maekawa's theorem".
- Maekawas_theorem sameAs Satz_von_Maekawa.
- Maekawas_theorem sameAs 마에카와의_정리.
- Maekawas_theorem sameAs m.0vpy60z.
- Maekawas_theorem sameAs Q13365745.
- Maekawas_theorem sameAs Q13365745.
- Maekawas_theorem wasDerivedFrom Maekawas_theoremoldid=671210184.
- Maekawas_theorem depiction Kawasakis_theorem.jpg.
- Maekawas_theorem isPrimaryTopicOf Maekawas_theorem.