Paradox Die

thingiverse

This enigmatic artifact manifested in my grasp during a dream, prompting me to attempt its replication. It is a die whose purpose it undermines by being identical on all sides. Ideally, each side should be indistinguishable from every other, but the paint's smudged appearance reveals minor inconsistencies as visible in the accompanying image. Each face is divided into numbers ranging from 1 to 6, with a total of 21 dots per side, although this characteristic is merely incidental. A standard die is supposed to transition from an undetermined state to a determined one. When shaken in cupped hands, it remains indeterminate. Upon landing on the table, it rolls, for instance, a 5, and then its state becomes determined. This die, however, never reaches a definitive state, much like Schrödinger's cat-box scenario where you're forever denied the chance to open the box and discover whether the cat is alive or dead. This dream may have been taunting my notion of "free will" by suggesting we inhabit a strictly deterministic universe. However, it's more likely probing one of my childhood fears: the possibility that there exist inherent properties of the universe we'll never comprehend. Delving into Russell's Paradox can yield fascinating mathematical conclusions about things we cannot prove. Custom Section Preparation: Orientation and Scaling If you print 50A (flat), the top and bottom would be distinguishable from the sides, rendering the die ineffective. You could roll it with a 1/3 chance of landing on a side that's distinguishable from the others. Consequently, it's best to print with the "poles" facing upwards and downwards. Utilize 50B and choose support material or employ 50C, which produces a customized "scaffold" that detaches easily. You can use a file or sandpaper to remove the small nubs from the stand and conceal the evidence of its original corner. I employed a scaling factor of 5 and a layer height of 0.1mm to make the scaffold functional. If I design an improved scaffold, I'll upload additional files. I utilized regular acrylic paint with a small paintbrush.