Stereographic Maze

Paused...

You win!

Stereographic Maze

Stereographic Maze is part math visualization, part puzzle game. You are navigating a maze on the surface of a sphere, but the maze is being visualized on the screen via stereographic projection---a method for mapping the surface of a sphere onto a flat plane. Imagine a globe with a 2D plane bisecting it at the equator. If you draw a line at any downward angle from the north pole, it will pass through the surface of the sphere once, and through the equatorial plane once. Project each point on the sphere along that line onto the equatorial plane and you've got a stereographic projection. The southern hemisphere is projected upward into a circle in the center of the plane, and the northern hemisphere is projected outward to fill the entire remainder of the plane. The north pole itself is lost in the infinite distance.

Use the arrow keys to move our intrepid player (a dot) from the south pole (which is in the center of the screen, when you begin) through the maze to the north pole (marked by a modulating circle). The corridors of the maze are along tropics (east/west lines) and meridians (north/south lines)‚Äč. As you appear to move through the maze, you are actually staying in place and rotating the entire sphere. The goal of reaching the north pole is equivalent to rotating the sphere so that the original north pole moves all the way to the south pole.

Created by Louis Webb. Shared under the open source Artistic License 2.0. You can view the source code here.