Difference between revisions of "Potter's equation"
Jump to navigation
Jump to search
Giantsquid (talk | contribs) |
Giantsquid (talk | contribs) |
||
| (8 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
| + | [[File:480px-Rubik's cube.svg.png|thumb|right|A Rubik's Cube]] | ||
| + | |||
'''Potter's equation''' is a mathematical formula which computes the number of face cubes in a [[Rubik's cube]] of any size. | '''Potter's equation''' is a mathematical formula which computes the number of face cubes in a [[Rubik's cube]] of any size. | ||
== Equation == | == Equation == | ||
| − | For an NxNxN Rubik's cube, the number of face cubes ( | + | For an NxNxN Rubik's cube, the number of face cubes (r) is equal to: |
| + | : [[File:Potter.png|300px]] | ||
| + | |||
| + | Where [[File:Delta.png|25px]] is the [[Kronecker]] delta function. | ||
| − | + | == Notes== | |
| − | + | *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]]. | |
| − | + | == See also == | |
| + | * [[Erin's equation]] | ||
Latest revision as of 19:18, 23 October 2015
Potter's equation is a mathematical formula which computes the number of face cubes in a Rubik's cube of any size.
Equation
For an NxNxN Rubik's cube, the number of face cubes (r) is equal to:
Where 
is the Kronecker delta function.
Notes
- 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.
