Triangular Dipyramid

Author

Eric W. Weisstein
December 27, 2009

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Polyhedra/TriangularDipyramid.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/TriangularDipyramid.html.

©2009 Wolfram Research, Inc. except for portions noted otherwise

Graphic

PolyhedronName[JohnsonSolid[12]]

Show[Graphics3D[Polyhedron[JohnsonSolid[12]]],Boxed->False]

Net

Show[Graphics[Net[JohnsonSolid[12]]],AspectRatio->Automatic]

Vertex Subset Hulls

p={"Dipyramid",3};

Platonic

(h=VertexSubsetHulls[p,"Platonic","Skip"->{}])//Timing

g=Function[poly,Graphics3D[{
{Gray,Opacity[.2],EdgeForm[Thick],PolyhedronData[p,"Faces"]},ConvexHull3D[N[PolyhedronData[p,"VertexCoordinates"]][[#]]]&/@poly},Boxed->False]]/@h[[All,2]]

GraphicsGrid[{g},Spacings->-100]