Stereographic projection maze

by JustinSDK, published

Stereographic projection maze by JustinSDK Jan 4, 2017

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1674Views 275Downloads Found in Math Art


When I first saw the amazing Stereographic projection, one of the challenges I setup is doing the stereographic projection with a self-generating maze. From then on, a year has passed and it's finally completed.

The customizer will generate a different maze every time you run it. You may input different values for the maze_rows parameter. The sphere radius would be block_width * maze_rows / 6. What the block_width parameter means is each block's width in the maze shadow, so is wall_width. The line_steps parameter determines the smoothness of the sphere surface. A higher value would get a more smooth surface, however, more time for rendering a model.

If you want to print it, I recommend using a slicing software that you can add support structures manually because some overhangs can't be detected when generating automatic supports. Trying a maze with a smaller maze_rows would be a good start. Once it's printed successfully, you may challenge a bigger one. :)

Updated 2017/1/15: One day, I hit upon a great idea. If we waive the maze algorithm aside, there exists an easy way to perform a stereographic projection in OpenSCAD. I published a thing based on the idea some other day.

4 char idioms - stereographic projection

Find all my mazes in the collection "maze generators".

Find my things about stereographic projection in stereographic_projection.

Print Settings








layer 0.2 mm



How I Designed This

Do you want to know how to create mazes with OpenSCAD? The following documents may help.

My library dotSCAD has a stereographic_extrude module. You can use it to create a thing of stereographic projection easily.

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Would it be possible to add text like:

You found your way to my heart.
The X marks the treasure.

That would give each maze a special meaning.

One more:
Whenever you feel lost call 01234 567890

I don't know where the text can be placed.

Make one with a candle in the middle :p!

That's a good idea!