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Regular icosahedron
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In geometry, the regular icosahedron is a convex polyhedron that can be constructed from pentagonal antiprism by attaching two pentagonal pyramids with regular faces to each of its pentagonal faces, or by putting points onto the cube. The resulting polyhedron has 20 equilateral triangles as its faces, 30 edges, and 12 vertices. It is an example of the Platonic solid and of the deltahedron. The icosahedral graph represents the skeleton of a regular icosahedron.
Twenty-sided dice from Ptolemaic of Egypt, inscribed with Greek letters at the faces.
Twenty-sided dice from Ptolemaic of Egypt, inscribed with Greek letters at the faces.
The Scattergories twenty-sided die, excluding the six letters Q, U, V, X, Y, and Z.
The Scattergories twenty-sided die, excluding the six letters Q, U, V, X, Y, and Z.
The radiolarian Circogonia icosahedra
The radiolarian Circogonia icosahedra
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
Image: Antiprism 17