Pentagonal dihedron

Pentagonal dihedron
Dimensionality	3
Schläfli Symbol	$\{5,2\}$
Subfacets
Vertices	5 points
Edges	5 line segments
Faces	2 pentagons
Cells	1 pentagonal dihedron
Hypervolumes
Vertex Count	$5$
Edge Length	$5l$
Surface Area	${\frac {\sqrt {5(5+2{\sqrt {5}})}}{2}}l^{2}$
Surcell Volume	$0$

A pentagonal dihedron is a 3-D polyhedron with two pentagonal faces which share their edges and vertices. In normal Euclidean space, it is degenerate, but can exist as a tiling of the sphere where each face makes up a hemisphere.

See Also

$\{5,2\}$	$\{5,3\}$	$\{5,4\}$	$\{5,5\}$	$\{5,6\}$	$\{5,7\}$	$\{5,8\}$	...	$\{5,\infty \}$	$\{5,{\frac {\pi i}{\lambda }}\}$
Pentagonal dihedron	Dodecahedron	Order-4 pentagonal tiling	Order-5 pentagonal tiling	Order-6 pentagonal tiling	Order-7 pentagonal tiling	Order-8 pentagonal tiling	...	Infinite-order pentagonal tiling	Imaginary-order pentagonal tiling

Regular $t_{0}\{5,2\}$	Rectified $t_{1}\{5,2\}$	Birectified $t_{2}\{5,2\}$	Truncated $t_{0,1}\{5,2\}$	Bitruncated $t_{1,2}\{5,2\}$	Cantellated $t_{0,2}\{5,2\}$	Cantitruncated $t_{0,1,2}\{5,2\}$
Pentagonal dihedron	Pentagonal dihedron	Pentagonal hosohedron	Truncated pentagonal dihedron	Pentagonal prism	Pentagonal prism	Decagonal prism

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