Dual Gyroid

by emmett, published

Dual Gyroid by emmett Jun 5, 2012
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8154Views 3510Downloads Found in Math Art


The Gyroid is a periodic minimal surface discovered in the '70s. Everyone seems to love showing off their powder printers by making these, so I decided to see if it was possible to make one on a Makerbot. Turns out as long as the scale is small enough, these overhangs and bridges print quite well with no support.

I was printing these dualstrusion gyroids at the Seattle Mini Makerfaire on my new Replicator (they only take about 30 minutes). There's also a couple of single color versions included. You can stack these in all three dimensions to form a continuous surface.


The dualstrusion version comes out nice, but I found I had to do some knife work on it. The Replicator (at least with PLA) leaves some ooze when doing dualstrusion. There is one overhanging point that can't be printed properly even in a single color, but it's small and easily removed.

I made the Gyroid shape in Matlab using gyroid.m and a tool from the file exchange that writes STLs. I used OpenSCAD to adjust those files into the ones I print. GyroidThin, Thick and Half are the intermediates between Matlab and OpenSCAD, so you can make whatever you want out of this surface.

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Hi.. I making a projekt, where i'm studying artistic shapes from mathematical formulas.. Do you know which formula is used to make the gyroid above, before post-processing..?

..i know the formula for the gyroid is: f(x,y,z)=0, but i'm unsure as to how i limit that shape to a ball.. i was thinking along the lines of: (x^2 + y^2 + z^2)*radius = 1
Do you know..?

You'll need to intersect it with with a sphere. I use OpenSCAD for that (see my puzzle derivative to see this gyroid intersected with a rhombic dodecahedron). A sphere is generally x^2+y^2+z^2=r^2.

I'm having trouble getting the gyroidThin to slice. I'm using slic3r 0.9.7 and my computer has plenty of processing power to do it, but slic3r keeps crashing. I sliced and printed the regular gyroid and it came out fantastic so I don't know why the gyroidThin isn't working. Any suggestions?

I agree with alex, The gyroid.stl is ok. But when I look at thin and thick in another package the triangle normals are facing inwards and I reckon that would be enough to stop it slicing.