Since there is apparently no algorithm out there (that I know of) that incorporates dice dot patterns on a Rubik's Cube, I've been on my own to study the interesting patterns that I've discovered.
Your cube does not necessarily need the dots to accomplish these patterns, but it's definitely fun playing with my modded cube!
If you have any suggestions, or happen to spot any errors, by all means please let me know, and happy Cubesgiving!
Edit: The two left columns are all proper dice, where all dot patterns 1 through 6 are there, and opposing side dots add up to 7. The right column is what I call 5/5/5 patterns, or the Trypophobic sequence of patterns.
Previous post references:
Apparently simply an example, last night after posting that I somewhat accidentally came up with two more, one of them being bars on the sides, that are also proper dice!
And if you haven't noticed already, when I find one new dot pattern that works, there's automatically at least two other dot patterns to go along with that.
Edit: And yes, I'm adding those into these crude pixel renders as I find them. I also found another 5/5/5 pattern somewhere along the way...