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A 30-sided polygon. The regular triacontagon with side length 1 has inradius r, circumradius R, and area A given by r = 1/4(sqrt(15)+3sqrt(3)+sqrt(2)sqrt(25+11sqrt(5))) (1) R ...

A triacontahedron is a 30-faced polyhedron. Examples include the 14-gonal antiprism, biaugmented truncated cube (Johnson solid J_(67)), 15-gonal dipyramid, 28-gonal prism, ...

Johnson solid J_(92).

Johnson solid J_(61).

Johnson solid J_(57).

Johnson solid J_(71).

Johnson solid J_(83).

The dual polyhedron of the icositruncated dodecadodecahedron U_(45) and Wenninger dual W_(84).

An irregular dodecahedron.

A sphere with three handles (and three holes), i.e., a genus-3 torus.