Chiral polyhedra in ordinary space, II

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dc.creatorSchulte, Egon
dc.date2005-01-04
dc.date.accessioned2026-07-07T05:15:49Z
dc.date.available2026-07-07T05:15:49Z
dc.descriptionA chiral polyhedron has a geometric symmetry group with two orbits on the flags, such that adjacent flags are in distinct orbits. Part I of the paper described the discrete chiral polyhedra in ordinary Euclidean 3-space with finite skew faces and finite skew vertex-figures; they occur in infinite families and are of types {4,6}, {6,4} and {6,6}. Part II completes the enumeration of all discrete chiral polyhedra in 3-space. There exist several families of chiral polyhedra with infinite, helical faces. In particular, there are no discrete chiral polyhedra with finite faces in addition to those described in Part I.
dc.description48 pages
dc.identifierhttps://arxiv.org/abs/math/0501050
dc.identifierhttp://arxiv.org/abs/math/0501050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73762
dc.subjectMetric Geometry
dc.subjectCombinatorics
dc.subject51M20
dc.titleChiral polyhedra in ordinary space, II
dc.typetext

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