Tangent polygon

Tangent pentagon of the pentagon hexacontahedron

A tangent polygon , tangent polygon or tangent n-gon is a special polygon in the mathematical field of plane geometry . These polygons are characterized by the fact that they have an inscribed circle .

definition

A tangent polygon is a polygon whose sides are tangents of a circle . This circle is called an inscribed circle .

Examples

• All triangles have an inscribed circle, so they are tangent triangles.
• All regular polygons have an inscribed circle and are therefore tangent polygons .
• Squares (as regular quadrilaterals) and rhombuses are tangent quadrilaterals .
• Tangent pentagons are found, for example, in the Catalan solids , namely as the boundary surfaces of the pentagonicosite tetrahedron and the pentagon hexacontahedron .

See also

• Tendon polygon

Individual evidence

1. ↑ Eric W. Weisstein : Tangential Polygon . In: MathWorld (English).