Principles of Nature: towards a new visual language
Principles of Nature: towards a new visual language
© copyright 1995-2015 Wayne Roberts. All rights reserved.

The painting reproduced here is from my book (W. Roberts, 2003), reformatted for the web and with some additional commentary or links.


Theorem II

the Co-Eutrigon Theorem
a visual proof

Co-eutrigon Theorem, painting and visual proof of the geometric theorem


acrylic painting (red, yellow , blue, white, and black) on diamond-shaped canvas, mounted on board; 198 cm (h) x
114 cm (w), © 2003 Wayne Roberts. All rights reserved.

In terms of etu, the new relative units of area, in the painting, the area of one white triangle (a co-eutrigon*) equals the area of the blue triangle minus the sum of the areas of one red and one yellow triangle. The painting provides a visual proof of this new Pythagoras-like theorem (which I call the Co-eutrigon Theorem) for triangles in which one angle is always 120°.

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