Combinations on a Rubik's Cube With One Side Solved
October 6th, 2019 at 8:08:38 PM
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Easy to find the total number of permutations of a Rubik's Cube online: somewhere around 4.3 x 10^19.
How many possible permutations are there with one side solved?
How many possible permutations are there with one side solved?
I put some factorials and exponents into a calculator and get around 40 billion. Feels like I am on the right track; also feels like I'm doing something wrong.
October 6th, 2019 at 9:08:50 PM
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Could be totally wrong as just doing this off cuff after looking up the formula for total permutations of;
8! * 12! * 3^8 * 2^12 / (2*3*2)
So if one face solved I think it should be (note, I’m not confident the denominator stays the same, so this could be off by an order of magnitude:
8! * 12! * 3^8 * 2^12 / (2*3*2)
So if one face solved I think it should be (note, I’m not confident the denominator stays the same, so this could be off by an order of magnitude:
4! * 8! * 3^4 * 2^8 / (2*3*2)
The race is not always to the swift, nor the battle to the strong; but that is the way to bet.
October 7th, 2019 at 1:25:00 AM
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Quote: TomGEasy to find the total number of permutations of a Rubik's Cube online: somewhere around 4.3 x 10^19.
How many possible permutations are there with one side solved?I put some factorials and exponents into a calculator and get around 40 billion. Feels like I am on the right track; also feels like I'm doing something wrong.
Are you accounting for the fact that there are definite mechanical restrictions? I suspect not.
Psalm 25:16
Turn to me and be gracious to me, for I am lonely and afflicted.
Proverbs 18:2
A fool finds no satisfaction in trying to understand, for he would rather express his own opinion.
October 7th, 2019 at 3:47:21 AM
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Quote: OnceDearQuote: TomGEasy to find the total number of permutations of a Rubik's Cube online: somewhere around 4.3 x 10^19.
How many possible permutations are there with one side solved?I put some factorials and exponents into a calculator and get around 40 billion. Feels like I am on the right track; also feels like I'm doing something wrong.
Are you accounting for the fact that there are definite mechanical restrictions? I suspect not.
That’s why you divide by 2*3*2.
The race is not always to the swift, nor the battle to the strong; but that is the way to bet.
October 7th, 2019 at 11:02:30 AM
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Does solving one "side" include correctly aligning the colors along the edges of the four adjacent faces?
Simplicity is the ultimate sophistication - Leonardo da Vinci
October 7th, 2019 at 6:10:00 PM
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Saw this video on youtube. It doesn't answer the op question but it's interesting. [Skip to the 10 minute mark if you want to get to the point.]
God's Number is 20.
The fastest human solve in competition is 3.45 seconds.
The fastest computer solve is less than 1 second (seen in video).
God's Number is 20.
The fastest human solve in competition is 3.45 seconds.
The fastest computer solve is less than 1 second (seen in video).
Have you tried 22 tonight? I said 22.
