Japanese mathematics flourished during Edo period 1603-1867 and was depicted on wooden tablets called Sangaku. There is a rich history of geometric theorems and problems recorded on these tablets. Consider the incircle C of radius r of any triangle (each side of the triangle is tangent to the circle) and the extended line L along one side of the triangle. Construct a triangle with base common to L and an incircle of radius r on either side of the triangle. Continue this process on either side of the group of triangles until n triangles are constructed, n>2. The incircle of the triangle formed by the combination of any a, 2≤a
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Category 1 - Australian Competitive Grants (this includes ARC, NHMRC)