Japanese Theorem for Cyclic Polygons

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The Japanese theorem for cyclic polygons states that no matter how a cyclic convex polygon is triangulated, the sum of the inradii of the triangles remains constant. This Demonstration shows random triangulations of regular polygons inscribed in a unit circle and the sum of the inradii of the triangles.
Contributed by: David Kang Myung Yang (September 2014)
(Mathematica Summer Camp 2014)
Open content licensed under CC BY-NC-SA
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"Japanese Theorem for Cyclic Polygons"
http://demonstrations.wolfram.com/JapaneseTheoremForCyclicPolygons/
Wolfram Demonstrations Project
Published: September 2 2014