Principles of Nature: towards a new visual language
© copyright 1995-2004 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.
the Co-Eutrigon Theorem
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°.