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In geometry, a decagonal bipyramid is one of the infinite set of
Virtual Reality Polyhedra
The Encyclopedia of Polyhedra ** VRML model
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bipyramid
A (symmetric) -gonal bipyramid or dipyramid is a polyhedron formed by joining an -gonal pyramid and its mirror image base-to-base. An -gonal bipyramid has triangle faces, edges, and vertices.
The "-gonal" in the name of a bipyramid does not ...
s, dual to the infinite prisms. If a decagonal bipyramid is to be face-transitive, all faces must be isosceles triangle
In geometry, an isosceles triangle () is a triangle that has two sides of equal length. Sometimes it is specified as having ''exactly'' two sides of equal length, and sometimes as having ''at least'' two sides of equal length, the latter versio ...
s. It is an icosahedron
In geometry, an icosahedron ( or ) is a polyhedron with 20 faces. The name comes and . The plural can be either "icosahedra" () or "icosahedrons".
There are infinitely many non- similar shapes of icosahedra, some of them being more symmetrica ...
, but not the regular one.
Images
It can be drawn as a tiling on a sphere, and represents the fundamental domains of ,2 *5.2.2 symmetry. :
See also
External links
*Virtual Reality Polyhedra
The Encyclopedia of Polyhedra ** VRML model
<10>
Try: dP10 Polyhedra {{Polyhedron-stub