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Saturday, June 5, 2010

OMG!

Spirolaterals

jesus H Christ!
Imagine you have a little robot that holds a pencil. Set it down on a sheet of paper and give it these instructions:
  1. Move forward 3 units and turn right.
  2. Move forward 1 unit and turn right.
  3. Move forward 2 units and turn left.
  4. Move forward 1 unit and turn left.
  5. Move forward 2 units and turn right.
  6. Repeat.
If the robot makes its turns at 90° angles, it will produce this figure:
swastika
But, remarkably, if it turns at 120° it will draw this:
star of david