Perhaps, but the salient characteristic of dice is that the sides are marked. When you talk about dice becoming ordered, there is a very strong implication that you mean the sequence of facing sides, not the packing factor. If we must be pedantic, then the phrase "rounded cubes"---or even "dice-shaped-cubes"---would be more accurate and relevant than "dice" (which aren't even invariably cubes, but are invariably marked).

Casino dice are actually cubes, at least as close as manufacturing tolerances of 0.0001 inch can make them. For example:

https://www.casinosupply.com/collections/casino-dice/product...

This is to help make it easier to spot alterations or flaws which could affect their randomness; shaved corners become very easy to spot, when packing them together it's easy to spot ones with height differences, etc.

Tolerance you’re referencing relates to the distance of one side to another, not the shape of the corners; the dice you linked to have their corners rounded (aka shaved) if you look at the image.

Indeed. I think anyone who has done some work with a milling machine will know firsthand that a freshly cut 90 degree edge that has not yet been rounded over is sharp like a blade.

If casinos actually did use dice that were extremely cubic, the dice would be cutting patrons' fingers and wrecking the felted surface of the craps table.

Funnily enough, the website the parent linked actually calls them " Transparent with razor sharp edges" so I guess they are pretty sharp.

I may have been wrong in my previous post. Apparently "razor" is one of several styles of dice edge and is intended to prevent excess tumbling, so a craps throw doesn't take too long to come to rest. I'm tempted to buy some new razor dice to see for myself.

I can't find measurements for the radius of curvature on razor dice edges, but I'd be surprised if they're truly as sharp as claimed. Without even considering the liability aspect, it seems inconvenient for a casino to pause the game because someone is bleeding on the table or dice.

I also wasn't able to learn how often the felt of a craps table is changed, though I came across something that said the felt's useful lifetime is prolonged by a foam rubber underlayer.

Most people would consider that an "edge case" which can be neglected in the model since it doesn't create any forces in the y direction.

But a cow is still basically spherical.

Casino craps dice are, I have a set for rolling my dnd characters stats for true randomness

As Lebowski would say, “Clearly, you’re not a golfer.”

In casinos, dice have sharp edges and corners.

Did you even look at the dice used in the experiment? The edges & corners are clearly rounded.

Platonic cubes don't exist

That's a really deep statement about the nature of existence. A mathematical theorem exists, even if the underlying structure is not represented in reality. We know that spacetime is warped by mass distribution, and is therefore non-Euclidean. However, the Pythagorean theorem is still something that exists, despite applying only to Euclidean space.

In the same way, a Platonic solid could be said to exist, even if it isn't represented in reality.