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- Pentagram_map abstract "In mathematics, the pentagram map is a discrete dynamical system on the moduli space of polygons in the projective plane. The pentagram map takes a given polygon, finds the intersections of the shortest diagonals of the polygon, and constructs a new polygon from these intersections.Richard Schwartz introduced the pentagram map for a general polygon in a 1992 paperthough it seems that the special case, in whichthe map is defined for pentagons only, goes back to an 1871 paper of Alfred Clebsch and a 1945 paper of Theodore Motzkin.The pentagram map is similar in spirit to the constructions underlying Desargues' Theorem and Poncelet's porism. It echoes the rationale and construction underlying a conjecture of Branko Grünbaum concerningthe diagonals of a polygon.".
- Pentagram_map thumbnail Penga3.svg?width=300.
- Pentagram_map wikiPageExternalLink Penta.pdf.
- Pentagram_map wikiPageExternalLink pentagrammap1.pdf.
- Pentagram_map wikiPageExternalLink fulltext.pdf.
- Pentagram_map wikiPageID "26179254".
- Pentagram_map wikiPageRevisionID "606732452".
- Pentagram_map hasPhotoCollection Pentagram_map.
- Pentagram_map subject Category:Dynamical_systems.
- Pentagram_map subject Category:Projective_geometry.
- Pentagram_map type Abstraction100002137.
- Pentagram_map type Attribute100024264.
- Pentagram_map type DynamicalSystem106246361.
- Pentagram_map type DynamicalSystems.
- Pentagram_map type PhaseSpace100029114.
- Pentagram_map type Space100028651.
- Pentagram_map comment "In mathematics, the pentagram map is a discrete dynamical system on the moduli space of polygons in the projective plane.".
- Pentagram_map label "Pentagram map".
- Pentagram_map sameAs m.0b7440t.
- Pentagram_map sameAs Q7164990.
- Pentagram_map sameAs Q7164990.
- Pentagram_map sameAs Pentagram_map.
- Pentagram_map wasDerivedFrom Pentagram_map?oldid=606732452.
- Pentagram_map depiction Penga3.svg.
- Pentagram_map isPrimaryTopicOf Pentagram_map.
