Tuesday, September 6, 2005

Impossible Triangle Illusion Revealed

Three weeks ago I posted a version of the Oscar Reutersvärd's Impossible Triangle. That version looked real and I wondered who created it and how it was done.

Oscar Reutersvärd's Impossible Triangle Solution
Follow The Groove
by Oscar Reutersvärd

The creator of that version, sent me an email today with an explanation of how he did it. He also threw in a bonus, the below animated file that exposes how his triangle could have been photographed. I say could have because he created the image with CINEMA 4D from MAXON.

Impossible Triangle Solution

Jörn Gollob Copyright 2004

Jörn did a great job of recreating Oscar Reutersvärd's "Follow the Groove" image with CINEMA 4D and it certainly looks like it could be constructed but with any good optical illusion, once constructed the reality would break down quickly upon changing the angle from which you were viewing it.

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For another look check out the below version built by Alan Brix of New Trier High School in Winnetka, Illinois. This is part of The New Trier Connections Project, which is a collection of hands-on exhibits gathered and created by faculty and students at New Trier High School in Winnetka, Illinois, to illustrate connections among art, math and science.

They gave the following description:
The "impossible triangle" is a triangle with THREE RIGHT ANGLES! It was invented in 1958 by mathematicians R.L. and S. Penrose. It appears to be an Escher-like triangle that can be drawn but not constructed . . . But as you can see below, we constructed it!

Impossible Triangle SolutionImpossible Triangle Solution

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