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Gyroid Soma Cube Puzzle

by xmbrst, published

Gyroid Soma Cube Puzzle by xmbrst Jul 1, 2013

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Description

A [soma cube puzzle](http://en.wikipedia.org/wiki/Soma_cube) in which each piece is a [gyroid](http://en.wikipedia.org/wiki/Gyroid) section. When assembled into a cube correctly, the cube forms a single continuous gyroid section.

Based on emmett's [Dual Gyroid](http://www.thingiverse.com/thing:24366).

Recent Comments

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tl dr: I imported emmett's Dual Gyroid into OpenSCAD and built the pieces up there.

The longer story: it was hard to glue individual Dual Gyroids together in OpenSCAD while maintaining simple manifolds. I could get orthogonally adjacent sections to work by doing a union with a 0.1 mm overlap, but as soon as I tried to add a section that would be diagonally adjacent to any other piece would get manifold errors. Through a lot of trial and error I hit on this method:

First I made a simple small piece composed of two of emmett's cubes unioned with 0.1 mm overlap and exported this as an stl. I then unioned several of these two segment pieces together into a chunk big enough to contain any individual soma piece. Then to make each piece I carved it out of the big chunk by taking the intersection of the big chunk with a union of cubes.

Why this worked I don't really know.
How do you make it? Which software did you use? It's awesome!
My grandmother uses the soma cube in the bathroom as a sponge! :D
Just kidding, this thing is quite nerdy, I like it!

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Instructions

Print each of the seven pieces and assemble them into a cube. One solution forms a single continuous gyroid section, so you can get some hints by thinking a little about the properties of the gyroid.
How do you make it? Which software did you use? It's awesome!
tl dr: I imported emmett's Dual Gyroid into OpenSCAD and built the pieces up there.

The longer story: it was hard to glue individual Dual Gyroids together in OpenSCAD while maintaining simple manifolds. I could get orthogonally adjacent sections to work by doing a union with a 0.1 mm overlap, but as soon as I tried to add a section that would be diagonally adjacent to any other piece would get manifold errors. Through a lot of trial and error I hit on this method:

First I made a simple small piece composed of two of emmett's cubes unioned with 0.1 mm overlap and exported this as an stl. I then unioned several of these two segment pieces together into a chunk big enough to contain any individual soma piece. Then to make each piece I carved it out of the big chunk by taking the intersection of the big chunk with a union of cubes.

Why this worked I don't really know.
Nice. My grandfather uses the Soma Cube to teach math and problem solving to kids. He will definitely like this and I'll print one out for him.
My grandmother uses the soma cube in the bathroom as a sponge! :D
Just kidding, this thing is quite nerdy, I like it!
Awesome, that's a great derivative.
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