In the beginning…

By joining together and enclosing four regular pentagons, you end up with this…

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The voids were later found out to be golden ratio trapezoids by Robert Austin and his friends, who took some time to document it.  Adrian Rossiter at Antiprism and Vincent at the ‘Magic Shop’ (Shapeways) also contributed.

I made up other paper models using mainly equilateral triangles and the trapezoid but it didn’t go too well with squares.  Some time later, I stumbled across George W. Hart’s site. He created a figure in wood that used a combination of trapezoid and small triangle.  I have reproduced it with the aid of a silhouette paper cutter and guidance from Mircea Draghicescu at ITSPHUN.

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To my surprise, this model followed…

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More later…

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