Vi Hart

Recreational Mathemusician

A beautiful mathematical idea begs to be visualized.

Hyperbolic Planes Take Off!
20" x 16"
Oil paint on canvas

What does it look like when you crease the hyperbolic plane? This painting is an attempt at visualizing simple origami done with hyperbolic paper. Each plane has a mountain and valley fold perpendicular to each other. Done with your average Euclidean sheet of paper, it would be impossible to have both creases folded at a non-zero angle, but the hyperbolic plane can fold both ways at once. The creased plane can then be manipulated into different "birds", or so I imagine.