Fricke-Klein map

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Fricke-Klein map
Rank3
TypeRegular
Elements
Faces64 triangles
Edges96
Vertices24
Vertex figureOctagon
Petrie polygons16 dodecagons
HolesOctagons
Abstract & topological properties
Flag count384
Euler characteristic-8
Schläfli type{3,8}
OrientableYes
Genus5

The Fricke-Klein map is a regular map and abstract polyhedron.

Related polytopes[edit | edit source]

External links[edit | edit source]

Bibliography[edit | edit source]

  • Gévay, Gábor; Schulte, Egon; Wills, Jörg (2016). "The Regular Grünbaum Polyhedron of Genus 5". Advances in Geometry. arXiv:1212.6588.
  • Schulte, Egon; Wills, Jörg (1987). "Kepler-Poinsot-Type Realizations of Regular Maps of Klein, Fricke, Gordan and Sherk" (PDF). Canadian Math Bulletin. 30.