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), edited and reformatted for the web , e.g. inclusion of relevant hyperlinks.
Theorem I
the Eutrigon Theorem
a visual proof
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 eutrigon*) equals the sum of the areas of the red and yellow triangles minus the area of the blue triangle. This painting provides a visual proof of a new Pythagoras-like theorem (which I call the Eutrigon Theorem) for triangles in which one angle is always 60°.