Pentagonal pyramid
From Wikipedia, the free encyclopedia
| Pentagonal pyramid | |
|---|---|
 |
|
| Type | Johnson J1 - J2 - J3 |
| Faces | 5 triangles 1 pentagon |
| Edges | 10 |
| Vertices | 6 |
| Vertex configuration | 1 of 35 5 of 32.5 |
| Symmetry group | C5v |
| Dual polyhedron | self |
| Properties | convex |
 Net of Pentagonal pyramid |
|
In geometry, the pentagonal pyramid is one of the Johnson solids (J2). Like any pyramid, it is self-dual. It can be seen as the "lid" of an icosahedron; the rest of the icosahedron forms a gyroelongated pentagonal pyramid, J11.
The 92 Johnson solids were named and described by Norman Johnson in 1966.
More generally an order-2 vertex-uniform pentagonal pyramid can be defined with a regular pentagonal base and 5 isosceles triangle sides of any height.
[edit] External link
- Eric W. Weisstein, Pentagonal pyramid at MathWorld.
- Eric W. Weisstein, Johnson solid at MathWorld.
