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hosohedron
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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.]]

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.

Gallery (10)