Since a regular pentagon can be circumscribed, we can apply the dissection in Figure 19.1 to regular pentagons too. And indeed the two pentagons can also be congruent. In this case, it is possible to get a hinged dissection with ten pieces rather than eleven, as Gavin Theobald discovered in March 2007. Gavin took Collison's approach to dissecting two polygons to one and modified it. Instead of using Bradley's method for dissecting two triangles to one he used the Q-slide instead. The dissection turns out to be wobbly-hinged, but still, it's an improvement!
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Hinged Dissections: Swinging & Twisting
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Last updated April 2, 2007.