Triptych

The rectangles article that I wrote (http://www.joebartholomew.com/rectangles.html) is more math than art, but I plan to turn the results into some spiral paintings, similar to this:
http://www.joebartholomew.com/spiralArbitrary.html
or these:
http://www.joebartholomew.com/SpiralArchInk.html.

My hope is that this will qualify as both painting and concept art — that is, I developed a concept that stands alone (as math), then applied it to visual art. I think the spiral paintings will have to stand alone, as well. I don't think they should require explanation.

So the concept is done, and now I'm on to the painting.

An Algorithm for Rectangles

I've completed the new improved version of The Golden Rectangle — One Rectangle in a Sequence of Infinitely Many Rectangles. It's time to get on with life. (Remember Fra Luca Bartolomeo de Pacioli's warning that a person should not go to sleep at night until the debits equal the credits.)

Here's a graphic from the paper: Ratios of the Fibonacci numbers approach the golden ratio.



The idea for the image came from:
Knott, R. "Fibonacci Numbers and the Golden Section".
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fib.html