Types of polygons

Reinhardt polygon

In geometry, a Reinhardt polygon is an equilateral polygon inscribed in a Reuleaux polygon. As in the regular polygons, each vertex of a Reinhardt polygon participates in at least one defining pair of the diameter of the polygon. Reinhardt polygons with sides exist, often with multiple forms, whenever is not a power of two. Among all polygons with sides, the Reinhardt polygons have the largest possible perimeter for their diameter, the largest possible width for their diameter, and the largest possible width for their perimeter. They are named after Karl Reinhardt, who studied them in 1922. (Wikipedia).

Reinhardt polygon
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Related pages

Perimeter | Supporting line | Convex hull | Reuleaux polygon | Big O notation | Curve of constant width | Odd number | Power of two | Isosceles triangle | Polite number | Natural number | Divisor | Equilateral polygon | Biggest little polygon | Prime power | Diameter | Prime number | Semiprime | Reuleaux triangle | Regular polygon