## Monday, January 21, 2008

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.

## Saturday, January 19, 2008

### 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