Monogonal hosohedron

Monogonal hosohedron
Dimensionality	3
Schläfli Symbol	$\{2,1\}$
Subfacets
Vertices	2 points
Edges	1 line segment
Faces	1 digon
Cells	1 monogonal hosohedron
Hypervolumes
Vertex Count	$2$
Edge Length	$l$
Surface Area	$0$
Surcell Volume	$0$

A monogonal hosohedron is a hosohedron with two vertices connected by a single edge, creating a single digonal face. It is degenerate in normal Euclidean space, but can exist as a tiling of the sphere with the face covering a 360 degree lune.

Structure and Sections

Subfacets

• 2 points (0D)
• 1 line segment (1D)
• 1 digon (2D)
• 1 monogonal hosohedron (3D)

Hypervolumes

• vertex count = $2$
• edge length = $l$
• surface area = $0$
• surcell volume = $0$

Template:Variant Nav 2 1

$\{2,0\}$	$\{2,1\}$	$\{2,2\}$	$\{2,3\}$	$\{2,4\}$	$\{2,5\}$	$\{2,6\}$	$\{2,7\}$	$\{2,8\}$	...	$\{2,\infty \}$	$\{2,{\frac {\pi i}{\lambda }}\}$
Zerogonal hosohedron	Monogonal hosohedron	Digonal dihedron	Trigonal hosohedron	Square hosohedron	Pentagonal hosohedron	Hexagonal hosohedron	Heptagonal hosohedron	Octagonal hosohedron	...	Apeirogonal hosohedron	Pseudogonal hosohedron

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