Pentagonal prism

Pentagonal prism
Dimensionality	3
Schläfli Symbol	'"`UNIQ--postMath-00000001-QINU`"'
Symmetry	Pentagonal prismatic symmetry (D5h)
Coxeter–Dynkin diagram
Subfacets
Vertices	10 points
Edges	15 line segments
Faces	5 squares 2 pentagons
Cells	1 pentagonal prism
Hypervolumes
Vertex Count	'"`UNIQ--postMath-00000002-QINU`"'
Edge Length	'"`UNIQ--postMath-00000003-QINU`"'
Surface Area	'"`UNIQ--postMath-00000004-QINU`"'
Surcell Volume	'"`UNIQ--postMath-00000005-QINU`"'

A pentagonal prism is a prism with a pentagonal base. This makes it the cartesian product of a pentagon and a line segment.

It is also the truncated pentagonal hosohedron, and because of this has pentagonal prismatic symmetry (D_5h).

The Bowers acronym for a pentagonal prism is pip.

Structure and Sections

The planar cross section of a pentagonal prism taken parallel to the base is a pentagon.

See Also

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

${t}_{0,1} \{2,2\}$	${t}_{0,1} \{2,3\}$	${t}_{0,1} \{2,4\}$	${t}_{0,1} \{2,5\}$	${t}_{0,1} \{2,6\}$	${t}_{0,1} \{2,7\}$	${t}_{0,1} \{2,8\}$	...	${t}_{0,1} \{2,\infty\}$	${t}_{0,1} \{2,\frac{\pi i}{\lambda}\}$
Digonal prism	Triangular prism	Cube	Pentagonal prism	Hexagonal prism	Heptagonal prism	Octagonal prism	...	Apeirogonal prism	Pseudogonal prism

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