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Cyclic Quadrilateral Tessellation (Posted on 2018-06-09) Difficulty: 3 of 5
Any quadrilateral can tessellate.

Let Q be a cyclic quadrilateral whose inradius is r and whose incenter lies on the interior of Q.

Tessellate Q then connect the incenters of all the neighboring copies of Q.

Prove that the resulting quadrilaterals (which form another tessellation) are also cyclic with inradius r.

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