Fractal Origami

Here’s another great idea I got from the Bridges Math and Art conference:  fractal origami.  Check out this folded version of Pythagoras’s Tree.

Apparently, the dimensions of A1 paper are such that if you cut the rectangle in half, parallel to the shorter side, the result will be two rectangles that are roughly similar to the original.  This self-similarity allows you to repeat the cutting and folding process, producing smaller and smaller branches.

Have more Fun With Folding!

Math Art: Building Sines

This is Building Sines, one of the pieces I will have on display at the 2013 Bridges Math and Art conference in Enschede, the Netherlands.

Building SinesBuilding Sines, by Patrick Honner

Inspired by the mathematicians, computer scientists, and artists of the Bridges organization, I have started writing computer programs to alter and transform my photography in mathematical ways.  Here, a custom Python script was used to smoothly compress the original image along a vertical sine wave, creating an interesting visual effect.

You can see the other pieces I will have on display here, and you can peruse the entire Bridges 2013 gallery here.  I will also be presenting a short paper at the conference about my work and its potential as a project-based learning activity for teachers and students.

 

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