Petr’s miracle: Why was it lost for 100 years? (Mathologer Masterclass)
Today’s topic is the Petr-Douglas-Neumann theorem. John Harnad told me about this amazing result a couple of weeks ago and I pretty much decided on the spot that this would be the next Mathologer video. I really had a lot of fun bringing this one to life, maybe too much fun :)
Very good Wiki page on the Petr–Douglas–Neumann theorem
Napoleon’s theorem and the PDN theorem at Cut-the-knot
Petr’s original paper
Worth a look for eigenpolygon decomposition and other application within geometry, etc.
A fantastic app that does the eigenpolygon decomposition contributed by Steven De Keninck from the Computer Vision Group at the Uni
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