Fair D6 dice with square pips

This is a dice that has been mathematically designed to be balanced and fair. The volumes of each of the pips (recessed value indicators) has an identical side volume so the side with 6 pips has the same amount of void volume as the 1 pip side.

The function I used for a single pip edge on a single side was

Edge = (sqrt((#factor^2)/(#pip_count))mm

where the #factor is used to scale the pip dimensions aesthetically and the #pip_count is the number of pips on a given side. Thanks to Johnny for coming up with the formula.

I know... clear as mud. :D

The nice thing is that you can print this in your resin printer without support. Heck, print two of them at once for the same print time. Give it a try!!

I've also made a handful of other unique dice:

2-sided (D2 and D4): https://www.thingiverse.com/thing:5251812 https://www.thingiverse.com/thing:5261013

3-sided: https://www.thingiverse.com/thing:5251567

4-sided (Chinese and pipped): https://www.thingiverse.com/thing:5229782 https://www.thingiverse.com/thing:5276415

16 sided: https://www.thingiverse.com/thing:5258637

If you found this useful, it would bring me great joy to see your work - so be sure to share. :)

Or, better yet, please feel free to dump a bitcoin or two here:

1Py3TUeR8noBN2giHyFV1GfB6x3Kh2WEVv

... include a note to the effect of "Hi 3E8, thanks for the fair dice thing... my life has improved five-fold on account of it and please accept this paltry amount in gratitude".

You're welcome! (in advance) :D

Also, feel free to peruse my other submissions which are almost as varied as they are many:

http://www.thingiverse.com/Julius3E8/designs

Enjoy!

April 5, 2020 update: Added a dice with a support plate so it can dangle in a resin printer. I was hoping this would reduce the amount of extra resin interference from plate calibration issues.