## Sunday, December 25, 2011

## Friday, December 23, 2011

## Monday, December 19, 2011

## Thursday, December 15, 2011

## Wednesday, December 14, 2011

"Each pixel represents the state of the 4 cells of 4 cellular automata, which are cross coupled and have their individual state transition tables. There is a "history" or "memory" of the previous states which is used as an offset into the state transition tables, resulting in update rules which depend on what has happened at that pixel in previous generations. Different regions end up in a particular state or cycle of states, and act very much like immiscible liquids with surface tension."

## Tuesday, December 13, 2011

## Monday, December 12, 2011

"Girih tiles have interior angles that are multiples of Ï€/5. In the examples shown here I’ve applied the girih concept to polygons with angles that are multiples of Ï€/7."

By Joe Bartholomew

By Joe Bartholomew

The Catalan numbers are a sequence of numbers, much like the Fibonacci numbers, which are given by the equation

Like the Fibonacci numbers, they too pop up all over the place, for example, the Catalan numbers correspond to the number of ways a regular n-gon can be divided into n-2 triangles.

Above is a visualization of the Catalan numbers.

Like the Fibonacci numbers, they too pop up all over the place, for example, the Catalan numbers correspond to the number of ways a regular n-gon can be divided into n-2 triangles.

Above is a visualization of the Catalan numbers.

## Thursday, December 1, 2011

## Tuesday, November 29, 2011

## Thursday, November 17, 2011

### 100th post!

A Wolfram Demonstration titled Combinations of Sines in the Complex Plane by Stephen Wolfram. He writes "Combinations of two sine functions must always have their zeros on the real line. Combinations of three need not. The height here is the absolute value of the sum of sine functions; the hue is the phase."

## Wednesday, November 16, 2011

## Tuesday, November 8, 2011

## Tuesday, November 1, 2011

## Monday, October 17, 2011

## Monday, October 10, 2011

## Monday, September 26, 2011

## Tuesday, August 30, 2011

This video is inspired by some of his other pieces:

## Thursday, August 25, 2011

Gaussian integers raised to the 17/6 th power

## Sunday, August 14, 2011

## Saturday, August 13, 2011

This image by Gabriel Doyle is a representation of the universal cover of the doubly-pointed Heegaard diagram of genus 1 of a (1,1)-knot.

"Octopod" by Syntopia (Mikael Hvidtfeldt Christensen) is an example of algorithmic art.

"In algorithmic art the creative design is the result of an algorithmic process, usually using a random or pseudo-random process to produce variability."

"In algorithmic art the creative design is the result of an algorithmic process, usually using a random or pseudo-random process to produce variability."

## Saturday, August 6, 2011

"Equal Areas" by Susan McBurney.

This image, inspired by Leonardo DaVinci, builds upon a concept of equal areas. The sum of the areas of the red shapes in the bordering semicircles is equal to the sum of the areas of the red shapes inside the center circle; and the same goes for the green, yellow, pink, and peach shapes.

This image, inspired by Leonardo DaVinci, builds upon a concept of equal areas. The sum of the areas of the red shapes in the bordering semicircles is equal to the sum of the areas of the red shapes inside the center circle; and the same goes for the green, yellow, pink, and peach shapes.

"Knot Structured" by George W. Hart was made by assembling 30 identical pieces of laser-cut wood. Read more here.

## Friday, July 29, 2011

Stability and chaos are analyzed by computing the Lyaponuv exponent which is plotted above.

## Friday, July 15, 2011

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