Pentagonal dipyramid
From Wikipedia, the free encyclopedia
Pentagonal dipyramid | |
---|---|
Type | Dipyramid and Johnson J12 - J13 - J14 |
Faces | 10 triangles |
Edges | 15 |
Vertices | 7 |
Face configuration | V4.4.5 |
Symmetry group | D5h |
Dual | pentagonal prism |
Properties | convex, face-transitive, (deltahedron) |
In geometry, the pentagonal dipyramid (or bipyramid) is third of the infinite set of face-transitive dipyramids.
The set of dipyramids is the dual of the uniform prisms.
It is also a Johnson solid (J13), constructed of regular polygons. It can be seen as two pentagonal pyramids (J2) connected along their bases.
As a Johnson solid, it is a convex deltahedron. Although it is face-transitive, it is not a Platonic solid because some vertices have four faces meeting and others have five faces.
The Johnson solid 13 is made of 10 equilateral triangles.