n-sided die

by bwarne, published

n-sided die by bwarne Mar 8, 2013
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n-sided die by bwarne is licensed under the Creative Commons - Attribution license.

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Sure, six choices are no match for a standard die. But what about picking from seven, eleven, or the unthinkable twenty-three choices? Until now, you were never able to leave it up to chance, forcing yourself to go through the agonizing processes of choosing. Well here comes the solution to all your multi-optioned problems - a customizable die for all your random number needs! You may have ninety-nine problems, but now choosing ain't one.


The die is designed to have a variable number of flat faces with a number on the opposite side. Wherever the die comes to rest, the associated number will show face up for easy reading.

Use the MakerBot Customizer to modify number of sides, font and face depth, style and size of the font, as well as the model resolution. The OpenSCAD script uses the Golden Selection Spiral algorithm to find the positions of reasonably even distribution of faces on a sphere for most values of n. Some smaller values of n use preset face angles. Due to most distributions being non-symmetrical, numbers will generally appear off-center of the flat faces in the die.

For best results of the lower hemisphere of the die, print using a raft and supports. Finish the bottom and sides using fine grain sandpaper.

DISCLAIMER: The distribution algorithm works well for large values of n, but it's not perfect. Other variables introduced while printing or sanding pretty much guarantee that it won't result in a perfectly fair die, but it's close!

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This is a fantastic customizable design. I made a 37-sided die with it. Only thing I could see that needs tweaked is the visibility of some of the numbers. For instance, the upper right corner of the 28 and 16 and many other objects are simply not there. (I couldn't even begin to guess what caused that!)

Anyway, great job. I'm ordering a print of my D37 model, and I'll post the results eventually!

Glad to hear that your d37 needs were finally satisfied! I updated the scale factor on the font depth such that you can set the value in Customizer to be able to see the text on even really large dice. I'd love to see how the print turns out!

I never did print my original model! It was rejected because of the technical issue with the sides. I've redone the D37 using your updated scale factor. I think it will print quite nicely now! One other thing that might make it even better is if you made the model hollow. Those of us who would like to print on Shapeways would save considerable money on printing with a hollow model.

Shapeways prints the hollow portion with support material that can be extracted after printing or even left I think in if there's no pinhole to get it out... I don't know all the details except hollow = cheaper.