Monday, February 24, 2014

Fractal Maze 2: Sierpinski paths

Years ago I created a fractal maze, which was rediscovered by reader Nathaniel Arnest.  Nathaniel and I had a great e-mail discussion about fractal mazes.  Later I may post my thoughts on this subject, but for now I present a maze that we collaborated on.  Nathaniel designed the maze, and I chose the graphical design to be based on the Sierpinski Triangle.  This one is a bit easier than the other one (which is a good thing).

 Click to zoom in.

Rules:
1. Follow the colored paths from the empty light green circle to the filled dark green circle.
2. You may not travel along the black lines.  The black lines simply outline an infinite number of squares.  All squares are copies of each other, even when the lines are too small to see in the picture (except for the start and finish, which only occur in the largest square).
3. You may not jump from one color to another, except when passing through the boundary between squares.
4. The path you follow cannot go infinitely deep.  Finite solutions only!

If you'd like to check solutions, please e-mail me at skepticsplay at gmail dot com.  Describe the solution in any way you wish, or attach an image.

If any readers are having difficulties due to colorblindness, please e-mail me to suggest better colors to accommodate you.