Tangential polygon

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

Definition

A Tangentenvieleck is a polygon, whose sides are tangent of a circle. This circle is called the inscribed circle.

Examples

• All triangles are tangent polygons
• All regular polygons have an inscribed circle and are therefore tangent polygons.
• Squares (as regular rectangles) and diamonds are tangent squares.
• Tangent pentagons can be found for example in the Catalan bodies, as a boundary and the areas of the Pentagonikositetraeders Pentagonhexakontaeders.