The truncated icosahedron : an iconic 3-D shape

Ramachandran, A. (2019) The truncated icosahedron : an iconic 3-D shape. At Right Angles. pp. 69-71. ISSN 2582-1873

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Apolyhedron is a 3-D shape whose boundaries or faces are planar polygons. Two faces meet along an edge while three or more faces meet at a vertex. Among polyhedra we have the five Platonic solids. All the faces of a Platonic solid are congruent regular polygons. These five were identified by ancient Greek geometers who also proved that no other polyhedron has this property (i.e., of having faces that are regular polygons of the same size and the same number of sides). One example of a Platonic solid is the icosahedron, which has 20 faces that are congruent equilateral triangles. It has 30 edges and 12 vertices.

Item Type: Articles in APF Magazines
Authors: Ramachandran, A.
Document Language:
Uncontrolled Keywords: Polyhedra, Archimedean solids, Euler’s formula, Angular defect
Subjects: Natural Sciences > Mathematics
Divisions: Azim Premji University > University Publications > At Right Angles
Full Text Status: Public
Publisher URL:

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