god's number

I have made public a computer-assisted proof artifact that improves the known OBTM upper bound for the 4x4x4 Rubik’s Cube from 55 to 54: https://github.com/AnanasClassic/4x4x4-obtm-54-research The new exact result is that phases 1 and 2 of the three-phase decomposition can always be completed...

Hello guys. I have been for a while playing arround with a challenge that I have called the "Man's number" challenge (by Man, here I mean the "human beeing" meaning of the word, women are also very welcome to the challenge!! :)). The porpous of the challenge is following: try to determine the...

Hellooo!! I've been a bit curious about finding an equation to find the God number of any puzzle, somethings telling me there has to be one but it's just not discovered? Or maybe the math just proves its not a discoverable equation, I'm not sure!! Thoughts?

title says it all.

Kilominx and Megaminx God's Number searches are already pretty tight, at 18-34 and 48-194 respectively in terms of their lower and upper bounds verified, but I couldn't find much on other same-shaped puzzles such as Gigaminx or Teraminx, so using the same method as ones used for calculating...

Loopover NRG is like Loopover, but you can only "grip" a certain fixed piece at all times, i.e. you can only slide the row or the column that that piece is in. Here is an example solve (not by me). Although there's been research on God's number for regular Loopover, I haven't found any for...

tl;dr: Ignoring the tips, GN is between 14 and 26 moves (inclusive) in OBTM. We will completely ignore the tips in this analysis, because they're trivial and boring. If you care about the tips a lot, you can just add 4 to the numbers here as appropriate. We split solving the master pyraminx...

I know that any rubik's cube position can be solved in 20 moves or less, but which are the allowable moves? I'm assuming it includes FBUDRL and all of their inverses (i.e., F'B'U' etc.). What about F2B2U2...? What about fbudrl and their inverses and doubles? And what about xyz? Thanks...

Someone recently posed a question to me: can you solve a 3x3x3 without turning one of the faces? To respond to this, I first tried to figure out how to perform an R' without turning the R face at all. After coming up with a 50 move intuitive solution, I ran a program on an Amazon server...

I had the great pleasure of meeting Tomas Rokicki at ARM TechCon 2011 in Santa Clara :D

Hello, I have been solving a Rubik's cube for more than a year, and lately I've read that a group of people proved that you can solve any position in 20 moves or less, here is the link: http://www.cube20.org/ So I wanted to share an idea I had, and hope you will tell me if it's original or...