- Types:
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convex polyhedron
a polyhedron any plane section of which is a convex polygon
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concave polyhedron
a polyhedron some of whose plane sections are concave polygons
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prism
a polyhedron with two congruent and parallel faces (the bases) and whose lateral faces are parallelograms
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pyramid
a polyhedron having a polygonal base and triangular sides with a common vertex
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tetrahedron
any polyhedron having four plane faces
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pentahedron
any polyhedron having five plane faces
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hexahedron
any polyhedron having six plane faces
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octahedron
any polyhedron having eight plane faces
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decahedron
any polyhedron having ten plane faces
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dodecahedron
any polyhedron having twelve plane faces
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icosahedron
any polyhedron having twenty plane faces
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Platonic body, Platonic solid, ideal solid, regular convex polyhedron, regular convex solid, regular polyhedron
any one of five solids whose faces are congruent regular polygons and whose polyhedral angles are all congruent
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prismatoid
a polyhedron whose vertices all lie in one or the other of two parallel planes; the faces that lie in those planes are the bases of the prismatoid
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trapezohedron
a polyhedron whose faces are trapeziums
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parallelepiped, parallelepipedon, parallelopiped, parallelopipedon
a prism whose bases are parallelograms
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quadrangular prism
a prism whose bases are quadrangles
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triangular prism
a prism whose bases are triangles
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rhombohedron
a parallelepiped bounded by six similar faces (either rhombuses or parallelograms)
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regular tetrahedron
a tetrahedron with four equilateral triangular faces
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cube, regular hexahedron
a hexahedron with six equal squares as faces
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regular dodecahedron
a dodecahedron with twelve regular pentagons as faces
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regular octahedron
an octahedron with eight equilateral triangles as faces
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regular icosahedron
an icosahedron with twenty equilateral triangles as faces
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prismoid
a prismatoid whose bases are polygons having the same number of sides and whose other faces are trapezoids or parallelograms