Friday, June 8, 2007

PRISMATOID: A shape beloved of geometers and industrial designers


A Prismatoid is a polyhedron where all the vertices lie in 2 planes. So this could be a pyramid, or so many other things. If the two planes have the same number of vertices then it is a prismoid, a subset of prismatoid.

The simplest prismatoid you could have would be a 3 sided pyramid --a single vertex on one plane and 3 on another. the next simplest would be a wedge, 2 vertices on one plane and 3 on the other. The 3rd most would be 3 on each plane, which is also the simplest prismoid you could create.

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