Regular Polyhedron


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Related to Regular Polyhedron: regular polygon, convex polyhedron

regular polyhedron

[′reg·yə·lər ‚päl·i′hē·drən]
(mathematics)
A polyhedron all of whose faces are regular polygons, and whose polyhedral angles are congruent. Also known as platonic solid.

Polyhedron, Regular

 

a polyhedron whose faces are identical regular polygons and whose polyhedral angles at the vertices are identical. There are five convex regular polyhedrons: tetrahedron, cube, octahedron, dodecahedron, and icosahedron.

References in periodicals archive ?
Within the frame of traditional education in the characteristics of regular polyhedrons at basic and secondary schools, or in the education of future teachers of mathematics, one of the highest educational goals is perhaps the ability to show the mutual duality of two regular solids.
Had God deliberately designed the architecture of the universe so that the five regular polyhedrons, each in its correct place, would fit exactly between the planets' orbits around the sun?
We can imagine creating a geodesic shape by subdividing the facets of a regular polyhedron into triangles and pushing the newly formed vertexes outward, as if inflating a balloon.