Uniform polyhedron
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In geometry, a uniform polyhedron has regular polygons as faces and is vertex-transitive. It follows that all vertices are congruent.
Platonic solid: Tetrahedron
Image: Tetrakishexahedron
Image: Disdyakisdodecahedron
Image: Disdyakistriacontahedron
Regular polygon
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In Euclidean geometry, a regular polygon is a polygon that is direct equiangular and equilateral. Regular polygons may be either convex, star or skew. In the limit, a sequence of regular polygons with an increasing number of sides approximates a circle, if the perimeter or area is fixed, or a regular apeirogon, if the edge length is fixed.
Image: Antiprism 17