Rubix cube

nekros · Post by **nekros** » Sat May 31, 2008 11:04 am

I now name this the most addicting puzzle ever. I just got one a couple weeks ago and I've been cubing like crazy. Anybody else here addicted to the cube?

Combuster · Post by **Combuster** » Sat May 31, 2008 11:57 am

Sorry. Rubik's not my style
my puzzle of choice

Candy · Post by **Candy** » Sun Jun 01, 2008 10:56 pm

nekros wrote:I now name this the most addicting puzzle ever. I just got one a couple weeks ago and I've been cubing like crazy. Anybody else here addicted to the cube?

Still can solve it within 5 minutes. If I am practiced up again, it drops to 3.

jal · Post by **jal** » Mon Jun 02, 2008 5:50 am

Candy wrote:Still can solve it within 5 minutes. If I am practiced up again, it drops to 3.

LOL. A couple of friends of mine can solve it in under a minute :). Myself, I never even tried.

JAL

Zacariaz · Post by **Zacariaz** » Mon Jun 02, 2008 8:42 am

How many different positions or "states" can a rubix cube be in?
I tried to do the math once, but then my head started to hurt.

My best guess right now would be something like:
(6! * 8! * 12!)/6

I don't think it is correct though...

nekros · Post by **nekros** » Mon Jun 02, 2008 12:27 pm

46 quintillion approximately

Zacariaz · Post by **Zacariaz** » Mon Jun 02, 2008 1:57 pm

I doubt that very much.
If I remember correct a quintillion = 1.000.000.000.000.000.000.000.000.000.000 which is a lot.
Even if every single smaller cube of of the collective 26 cubes could be placed in any position it would only be the equivalent of 26! = 403.291.461.126.605.635.584.000.000. (not considering the fact that a lot of those positions would essentially be the same)

My "logic", of course, could be flawed... (yes, I'm on a star trek marathon.)

Alboin · Post by **Alboin** » Mon Jun 02, 2008 2:25 pm

Check out this page.

According to them, a 3x3 has 43252003274489856000 permutations.

Zacariaz · Post by **Zacariaz** » Mon Jun 02, 2008 2:58 pm

first problem is that a quintillion apparently is not the size I was tough, which is 10^30.
second problem is that I missed a important fact, still, it is a very large number.

jal · Post by **jal** » Tue Jun 03, 2008 2:07 am

Zacariaz wrote:first problem is that a quintillion apparently is not the size I was tough

Are you a US/UK citizen, or living in continental Europe using the French system? US and increasingly also UK:

10^6 = million
10^9 = billion
10^12 = trillion
etc.

French system, used in most Western European countries:

10^6 = million
10^9 = milliard
10^12 = billion
10^15 = billiard
etc.

Also see here.

JAL

Combuster · Post by **Combuster** » Tue Jun 03, 2008 3:17 am

lousy brits, walking away from the majority usage (most countries still use the long scale)

JackScott · Post by **JackScott** » Tue Jun 03, 2008 3:20 am

I grew up with Windows telling me how much a million, billion, etc were, so I just use that.

IMHO, 10^9 being a billion is much more sensible (for no good reason other than having a consistent naming scheme).

Combuster · Post by **Combuster** » Tue Jun 03, 2008 3:34 am

Long scales are consistent too.
million, milliard
billion, billiard
trillion, trilliard
quadrillion, quadrilliard
etc, etc

The only two real reasons to use one is
1: Taste, good for dictators
2: Because the US does it, which by definition is also a reason to *NOT* do it

suthers · Post by **suthers** » Tue Jun 03, 2008 11:00 am

There are different types off rubix cube with different numbers of squares on the sides, so you should deffine which one your talking about before you argue how many possibilities of positions there are...
Jues

jal · Post by **jal** » Wed Jun 04, 2008 2:15 am

suthers wrote:There are different types off rubix cube with different numbers of squares on the sides, so you should deffine which one your talking about before you argue how many possibilities of positions there are...

We are talking about the Rubix cube, not all the spin-offs. That is, 3x3 on each side.

JAL

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