All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes
Rubik's minimal operator set (Posted on 2019-05-23) Difficulty: 3 of 5

It's pretty simple to see that you can reach any possible configuration of a Rubik's cube (check Wikipedia if you're not sure what that is!) with just six basis operations. Namely, a counterclockwise quarter rotation around each of the axes: +x,-x,+y,-y,+z,-z.

But perhaps all six operations aren't necessary, so that it is possible to reach the same configuration following from a turn around +x by some combination of turns around the other five faces?

Explain why rotations around all six faces are independent or, alternatively, come up with a sequence of rotations about -x,+y,-y,+z,-z which mimic the effect of a rotation about +x.

See The Solution Submitted by FrankM    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Hint from the author FrankM2019-05-27 12:56:09
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2019 by Animus Pactum Consulting. All rights reserved. Privacy Information