3D Printing a Transparent Sphericon
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Introduction: 3D Printing a Transparent Sphericon
A "sphericon" is a pleasing 3-dimensional shape formed by joining four half-cones. It is a "developable" shape, meaning that all parts of it touch a flat surface it is rolled on, and it has an interesting wobbly motion when it rolls. We'll make the shape by halves, in Autodesk Inventor.
Step 1: Making the Half-Shape
To make the first half, we will make a half-square one inch on the sides. Do this in a 2-D Sketch as shown. The diagonal will be used as the axis of rotation.
Step 2: Making the Solid of Revolution
Next let's make a solid of revolution from the half square, as shown, by using the Revolve 3D command. Revolve the triangle 180 degrees with the hypotenuse as the axis. You can think of this solid as two half-cones mated at the base.
Step 3: Mate the Two Halves
Make the other half by copying the solid you just Revolved. Note that both sides have a square base. If you mated the square base with the apexes matching, you would get two cones (a "bicone") joined at their base. But here's the twist: to make a sphericon, rotate one of the halves 90 degrees with respect to the other, so the apexes met the base edges. Then mate the two halves by Constraining two of the square edges to be coincident.
Step 4: Printing and Polishing
This turned out to be an easy print on the Objet stereolithography printers at Pier 9. I used the Vero clear resin, and polished it. I started with the polishing instructions from Robb and Noah, but since I am a little lazy, I skipped a lot of the grit and the steps. I started with 320 grit sandpaper, then went directly to a wet sand with 1000 grit. I missed a few spots and had to touch up with the 320 grit again, but NBD. After that I went directly to the buffing wheel. Perhaps not optically perfect but it looks fine to me, and it took perhaps 30 minutes.
Attachments
Step 5:
Here's another version with smoothed edges in case anybody cares ;)
Attachments

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- Downunder35m made it!
9 Comments
6 years ago on Introduction
This looks good so I wanted to see what it looked like moving. There's a good video of two here, one like this (order 2) and one of order 4:
The one of order 4 looks even more interesting and has a freaky, has it stopped or not, motion.
Reply 5 years ago
Just stumbled upon this one. Very cool! The motion of the second one is really quite animated. How was the order 4 sphericon generated? And would you be able to share your STL or OBJ file? Thanks!
Reply 5 years ago
I only found the video, I was not the maker
of them. However, going back to the original YouTube video, they
referenced here for details of the sphericon:
http://www.thingiverse.com/thing:112367
It also led to this, a singing oloid, which I found quite hypnotic:
http://www.youtube.com/watch?v=2d2RchtzD-4
6 years ago on Introduction
This is cool, would you mind if I used a video of it rolling at the end of the video I am making for my $60 3D printer?
6 years ago
this shape is intriguing... I want to try it. maybe after I make the $60 DLP 3d printer(sorta recent instructable)
Reply 6 years ago on Introduction
I'll try to print one out and see how it works.
6 years ago on Introduction
Now you really made me want a DLP printer....
Currently into a 14H print but after that I have to try this thing.
I guess my cats will go mental on it :)
6 years ago
Very interesting! We studied these in my calculus class but I never imagined one would roll so interestingly.
Have a great day!
6 years ago on Introduction
Awesome!