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hosohedron
EntityQ869874· pop 14· linked from 318 articles

hosohedron

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Also known as Hosohedra, hosohedrons

thumb|This beach ball would be a hosohedron with 6 [[spherical lune faces, if the 2 white caps on the ends were removed and the lunes extended to meet at the poles.]]

In the Vinony graph

Vinony's link graph records 318 inbound references to hosohedron, and connects out to list of regular polytopes, polyhedron and monogon.

Vinony files it under Polyhedra, Regular polyhedra and Tessellation.

Vinony links it to 13 Wikipedia language editions.

Key facts

Polyhedron.name
Set of regular n-gonal hosohedra
Polyhedron.image
Hexagonal Hosohedron.svg
Polyhedron.caption
Example regular hexagonal hosohedron on a sphere
Polyhedron.type
regular polyhedron or spherical tiling
Polyhedron.euler
2
Polyhedron.faces
digons
Polyhedron.vertices
2
Polyhedron.schläfli
{{math|{2,n} }}
Polyhedron.symmetry
order
Polyhedron.rotsymmetry
order
Polyhedron.dual
regular -gonal dihedron

via Wikipedia infobox

Wikidata facts

Image
Hexagonal Hosohedron.svg
Show 5 more facts
Commons category
Hosohedra
Schläfli symbol
{2,n}
studied by
solid geometry
maintained by WikiProject
WikiProject Mathematics
Sources (1)

via Wikidata · CC0

~5 min read

Encyclopedic overview

10 sections
Contents
  • Hosohedra as regular polyhedra
  • Kaleidoscopic symmetry
  • Relationship with the Steinmetz solid
  • Derivative polyhedra
  • Apeirogonal hosohedron
  • Hosotopes
  • Etymology
  • See also
  • References
  • External links

{{Infobox polyhedron | name =Set of regular n-gonal hosohedra | image =Hexagonal Hosohedron.svg | caption =Example regular hexagonal hosohedron on a sphere | type =regular polyhedron or spherical tiling | euler =2 | faces = digons | edges = | vertices =2 | vertex_config = | schläfli = {{math|{2,n} }} | wythoff = | coxeter = | symmetry = order | rotsymmetry = order | surface_area = | volume = | angle = | dual =regular -gonal dihedron | properties = | vertex_figure = | net =}}

thumb|This beach ball would be a hosohedron with 6 [[spherical lune faces, if the 2 white caps on the ends were removed and the lunes extended to meet at the poles.]]

Excerpted from Wikipedia’s “hosohedron” article, available under the CC BY-SA 4.0 licence.

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