Parametric Monte Carlo Die with Proportional Holes (Balanced)

The classic die, the "Monte Carlo" has rounded corners and round_rect or circular faces. This allows them to roll further and more smoothly. Olde times crafters also made wooden dice with different depth holes for depicting the numbers, typically the one hole was, say, 6mm deep, while the six holes were 1mm deep. (In practice, toy makers use round tipped drills so the holes would have been slightly deeper for the larger numbers and shallower for the smaller numbers.)

To create a Monte Carlo, we "intersection" a cube (or round edged cube) of X width with a sphere of X/sqrt(2) radius. I've included the OpenSCAD file so you can see the procedure and formula I've used to create it.

In a 1000 rolls (a "wasted" day with a Yahtzee set!) I couldn't find a measurable deviation with my PLA ones, made for my wife, after cleanup. The photographed set were done in PETG as a calibration set for a new printer. These haven't had the brim filed yet and were printed at 0.2mm layer height. I recommend 0.1mm layers and light sanding or tumbling in a drum of abrasive powder to takeoff any brim residue or elephants foot*. (*Try to level the bed perfectly for minimum elephants foot, for a truer die.)

Provided for educational and fun purposes, I don't encourage gambling on games of chance for money. If you play for money, gamble responsibly and seek help if you are worried about how it might be affecting your non-gaming life.