Difference between revisions of "Potter's equation"

Revision as of 21:20, 12 July 2011

Potter's equation is a mathematical formula which computes the number of face cubes in a Rubik's cube of any size.

For an NxNxN Rubik's cube, the number of face cubes (R) is equal to:

Where is the Kronecker delta function.

Potter’s Equation applies in all cases where N >= 0. Obviously, the N = 1 case is trivial, as is the N = 0 case, though actually solving a 0*0*0 Rubik’s Cube presents a number of practical challenges, even for advanced Cubists. Attempting to solve a Rubik’s Cube where N < 0 is extremely dangerous, you could conceivably be thrown into a strange and highly disconcerting hyper-universe with no obvious way to return. WARNING! DO NOT ATTEMPT TO SOLVE A NEGATIVE-N RUBIK’S CUBE WITHOUT PROFESSIONAL TRAINING!

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 == Notes==
-*Potter’s Equation applies in all cases where N > 1.  Obviously, the N = 1 case is trivial, as is the N = 0 case, though actually solving a 0*0*0 Rubik’s Cube presents a number of practical challenges, even for advanced Cubists.  Attempting to solve a Rubik’s Cube where N < 0 is extremely dangerous, you could conceivably be thrown into a strange and highly disconcerting hyper-universe with no obvious way to return.  '''WARNING!  DO NOT ATTEMPT TO SOLVE A NEGATIVE-N RUBIK’S CUBE WITHOUT PROFESSIONAL TRAINING!'''
+*Potter’s Equation applies in all cases where N >= 0.  Obviously, the N = 1 case is trivial, as is the N = 0 case, though actually solving a 0*0*0 Rubik’s Cube presents a number of practical challenges, even for advanced Cubists.  Attempting to solve a Rubik’s Cube where N < 0 is extremely dangerous, you could conceivably be thrown into a strange and highly disconcerting hyper-universe with no obvious way to return.  '''WARNING!  DO NOT ATTEMPT TO SOLVE A NEGATIVE-N RUBIK’S CUBE WITHOUT PROFESSIONAL TRAINING!'''
 *Potter’s Equation is in no way related to [[Harry Potter]].