Things you might not know about cubing

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This is to share your best obscure but interesting cubing facts!

I learned recently that the number of possible states of a 3x3x3 (excluding the solved state), is a prime number (Is this common knowledge I missed out on?).
 
I learned recently that the number of possible states of a 3x3x3 (excluding the solved state), is a prime number (Is this common knowledge I missed out on?).

Did not know that. Ofc, the number of all possible states including solved is not prime.

Did you know that it can take over your life? (lol just had to say something like that)
 
A lot of interesting cubing facts can be found in the odd stats request thread.

Anyway here's one:

Keisuke Hiraya broke the 4x4x4 avg WR (52.31)in his first competition in which he competed in 4x4x4 (Tokyo Open 2008) with a Rubik's 4x4x4.

His individual times: 58.28 52.80 58.65 45.84 45.15

It's a little bit hard to appreciate if you've never tried a Rubik's 4x4x4
 
An "A" state / algorithm is invariant to any conjugation, if
S A S' = A
for any(!) algorithm "S".

There are only 2 state (3x3x3) which has this attribute. The first one is the trivial solved state: A = id, because S A S' = S S' = id = A. The other one is the so-called superflip (which I don't want to prove now, but it is not hard).
http://www.speedsolving.com/wiki/index.php/Superflip

There is no any other state which is invariant to conjugation.
 
Before going to manufacturer Erno Rubik was going to call the puzzle a rough translation of ''spinny roundy mixy puzzle square'' but the idea was thrown out and at the last minute, and was just simply named 'Rubiks cube'
 
Before going to manufacturer Erno Rubik was going to call the puzzle a rough translation of ''spinny roundy mixy puzzle square'' but the idea was thrown out and at the last minute, and was just simply named 'Rubiks cube'

Where did you hear that? And what about the period when it was called Magic Cube?
 
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