Tag Archives: Pythagoras

Elegant proofs – more Pythagoras

Posted on March 1, 2018 by dougaj4

Browsing the Plus Magazine site recently, I was struck the proof of Pythagoras’ Theorem shown in the animation below: Not just because it is an elegant proof, but also because of the author, the 20th President of the United States, … Continue reading →

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Animated Pythagoras

Posted on February 13, 2012 by dougaj4

Two animatations of a “wordless” proof of Pythaoras’ Theorem provided by SSSF regular PM 2Ring. This animation is a “wordless proof” of Pythagoras’ theorem. The basic design is an interlocking pattern of coloured squares overlaid with “shadow” squares. In most … Continue reading →

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Pythagoras, Penrose and Pov-Ray

Posted on June 30, 2008 by dougaj4

Images based on Pythagorean tiling, Penrose tiling, and projections onto the Riemann Sphere by PM2ring, a regular contributor to the ABC Self-Service Science Forum (words by the artist):  Various renderings of a Pythagorean tiling. Mostly using the 3,4,5 triangle. This … Continue reading →

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Elegant Proofs – 1

Posted on May 18, 2008 by dougaj4

Roger Penrose in his book “The Road to Reality” gives a remarkably simple proof of Pythagoras’ Theorem: Drawing a perpendicular to the hypotenuse from the right angle (line CD) will divide any right angled triangle into two similar triangles, both … Continue reading →

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