Tendon polygon
Chordal pentagon of the Dürer polyhedron
A Sehnenvieleck , tendons polygon or tendon n-gon is in the mathematical field of plane geometry a particular polygon . These polygons are characterized by the fact that their corner points lie on a circle . This is called the periphery . Hence all sides of the polygon are tendons of the circumference.
definition
A chordal polygon is a polygon whose corner points lie on a common circle. This circle is called the perimeter .
Usually, a chordal polygon is understood to be a polygon that does not overturn; this is necessarily convex .
Examples
- Each triangle has a circumference and is therefore a polygon or a triangle of tendons.
- Every isosceles trapezoid is a quadrilateral tendon .
- Every regular polygon is a chordal polygon .
- Axisymmetric chordal pentagons come e.g. B. the truncated rhombohedron (as a side surface) and the beveled hexahedron and beveled dodecahedron (as a cut surface).
See also
Individual evidence
- ↑ Eric W. Weisstein : Cyclic Polygon . In: MathWorld (English).