Here is another example of mathematical beauty.

that's not random. You have set shape of field and set dot positios, you have limited numbers and you have set rules of distance ⅔. So basically nothing random, easy predictable. Random will be if after each dice drop, shape, dot positions, distance and dice it self changing.

Indeed You can change the number of vertex. I did it in Python

Does the dice throw really matter ?

In fact, when we randomly place the points, the resulting image is a little different. I created a script for this, you can review it if you want. Actually, I probably didn't understand because I'm not a mathematician, but the distribution is concentrated at the corner points.

For those who dont believe the power of dice 🤫 here is the verification.

coincidence? i don't think so!

Nothing can be random.

I think that the only random occurrence here is where exactly the next dot is placed within the set. With a rule established of placing a point every 2/3 distance from an established set of numbered points within a closed planar system, it’s really just repetition. I wonder what it would look like with other polygons.

What was Sherlock Holmes favorite saying?

I will try this