Posted by on Nov 20, 2011 in redkb | 0 comments

In this video I attempt to explain how many more positions there are on a V-Cube 7x7x7 than a Rubik’s Cube 3x3x3.

FAQ:
1. What’s a duoquinquagintillion?
A. In Short Scale a Duoquinquagintillion is 1×10^159 So 19 Duoquinquagintillion is 1.9×10^160

2. You’re wrong! The number of positions is 9,501 sexvigintillion or 19.5 sexvigintilliard.
A. In Long Scale you are correct! But in Short Scale 19.5 duoquinquagintillion is also correct. Short Scale is used in the United States and modern British. Long scale is Traditional British and European.

3. Isn’t there more than one solved position??
A: Yes, however the 19 duoquinquagintillion only contains discernible positions. This includes only 1 solved position.

4. This can’t be right because a bunch of those 19 duquinquagintillion are potions you could never turn to. They are positions in which you would have to disassemble and reassemble the cube. So the number should be far less.
A: Only positions achievable through turning are counted in the 19 duoquinquagintillion otherwise the number would be much much much larger.

Math:

For the 3×3:

4.3×10^19 Carbon atoms = .85mg (Math at 1:15)

For the 7×7:

There are 1.95×10^160 or 19 duoquinquagintillion positions in a 7×7.

According to: http://www.universetoday.com/36302/atoms-in-the-universe/ There are between 10^78 and 10^82 atoms in the universe. I used 10^80 because it worked well with my calculations.

So if you had 10^80 universes full of 10^80 atoms each, that would give you a total of 10^160 atoms, which is roughly the number of positions in a 7×7.