HyperPaint is a painting app for hyperbolic patterns!

Hyperbolic Geometry is a kind of Non-euclidian geometry.
The app squashes the whole infinite hyperbolic plane into a circle (called the Poincare Disk). Strange and fascinating repeating patterns are made possible by this unique app. The motif of the pattern becomes smaller and smaller as it gets closer to the edge of the circle, repeating an infinite number of times.