The distribution of Pythagorean Triples

This page shows pictures by Evan Calabrese (class of 2003) showing the distribution of Pythagorean Triples

 

This picture shows the distribution of Pythagorean triples in the first quadrant. The other quadrants are appropriate mirror images of this one.

Primative pythagorean triples are easily seen. You might want to get out a ruler and find them. The second picture shows a lot more triples.

 
 

 

This picture is an expansion of the one above. Each tic mark on an axis represents an interval of 500.

There are a lot of line and circle patterns here awaiting explanation.