A Chain of Tangent Circles
A Chain of Tangent Circles
Given any polygon with vertices, it is possible to draw circles with centers at its vertices so that each circle is tangent to its two neighbors, forming a necklace of circles. If is odd, there is a unique solution; if is even, either there is no solution or an infinite number of solutions. This Demonstration assumes , but by superimposing circles, solutions for smaller can be displayed.
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