Platonic solid

Noun

Meaning

any one of five solids whose faces are congruent regular polygons and whose polyhedral angles are all congruent

Source: WordNet

Synonyms

ideal solid Platonic body regular convex polyhedron regular convex solid regular polyhedron dodecahedron polyhedron tetrahedron icosahedron octahedron geodesic dome Archimedean solid regular hexahedron convex polyhedron platonic sphere
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Hypernyms

polyhedron

Hyponyms

cube regular hexahedron regular icosahedron regular octahedron regular tetrahedron regular dodecahedron

Related terms

Platonic hydrocarbon

Examples

Expansion or cantellation involves moving each face away from the center (by the same distance so as to preserve the symmetry of the Platonic solid) and taking the convex hull. Source: Internet

Starting with a Platonic solid, truncation involves cutting away of corners. Source: Internet

Geometric properties Angles There are a number of angles associated with each Platonic solid. Source: Internet

Indeed, every combinatorial property of one Platonic solid can be interpreted as another combinatorial property of the dual. Source: Internet

More generally, one can dualize a Platonic solid with respect to a sphere of radius d concentric with the solid. Source: Internet

Of the fifth Platonic solid, the dodecahedron, Plato obscurely remarks, ". Source: Internet

Close letter words and terms

Platonic ideal platonic love Platonic month platonic sphere platonic triangle Platonic year