Elongated pentagonal pyramid
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|Elongated pentagonal pyramid|
|Bowers style acronym||Epeppy|
|Faces||5 triangles, 5 squares, 1 pentagon|
|Vertex figures||1 pentagon, edge length 1|
|5 kites, edge lengths 1 and √2|
|5 isosceles triangles, edge lengths (1+√5)/2, √2, √2|
|Measures (edge length 1)|
|Dual||Elongated pentagonal pyramid|
|Conjugate||Elongated pentagrammic pyramid|
|Symmetry||H2×I, order 10|
The elongated pentagonal pyramid is one of the 92 Johnson solids (J9). It consists of 5 triangles, 5 squares, and 1 pentagon. It can be constructed by attaching a pentagonal prism to the base of the pentagonal pyramid..
If a second pyramid is attached to the other base of the pentagonal prism, the result is the elongated pentagonal bipyramid.
Vertex coordinates[edit | edit source]
An elongated pentagonal pyramid of edge length 1 has the following vertices:
External links[edit | edit source]
- Klitzing, Richard. "epeppy".
- Quickfur. "The Elongated Pentagonal Pyramid".
- Wikipedia Contributors. "Elongated pentagonal pyramid".
- McCooey, David. "Elongated Pentagonal Pyramid"