Rubik's Cube Combinations
bgrubert (124)

Hello!

Because of Covid-19(The coronavirus), I have had lot more time to work on repl.it so I decided to make this fun code!

Did you know that a 3 x 3 x 3 Rubik's cube has over 43 Quintillion or 43 Million Trillion different positions?

Calculate how many different combinations, visualize the Rubik's cube, and learn how many digits the number is with this simple program!

Instructions

  • Enter a number 1 - 100 into the input( you can put higher numbers later)
  • Press "Calculate" and wait.
  • A simulated version of the top-view of the Rubik's cube will be displayed to the left, and to the right, the number of possible combinations for that Rubik's cube (the 3d version of course).
  • If the number you chose was big enough, you will be able to scroll through the number to the bottom, otherwise, the whole number will be displayed in front of you.
  • If you didn't listen to me and chose a number higher than 100, you may get a few "Page Unresponsive" popups but you can just close them out and ignore them

Stats

Here are some of the results that I got for varying cube sizes!

  • 2 x 2 x 2 - 7 digits
  • 3 x 3 x 3 - 20 digits
  • 4 x 4 x 4 - 46 digits
  • 5 x 5 x 5 - 59 digits
  • 6 x 6 x 6 - 117 digits
  • 7 x 7 x 7 - 130 digits
  • 8 x 8 x 8 - 218 digits
  • 9 x 9 x 9 - 231 digits
  • 10 x 10 x 10 - 350 digits
  • 33 x 33 x 33 (Largest Rubik's Cube) - 3,867 digits
  • 100 x 100 x 100 - 38,416 digits (Takes a few seconds)
  • 150 x 150 x 150 - 86,708 digits
  • 200 x 200 x 200 - 154,390 digits
  • 250 x 250 x 250 - 241,461 digits
  • 300 x 300 x 300 - 347,922 digits
  • 350 x 350 x 350 - 473,771 digits
  • 400 x 400 x 400 - 619,010 digits (Took like half an hour)
  • 500 x 500 x 500 - 967,656 digits (Took several hours)
  • Feel free to share with me higher results i.e. 450 x 450 x 450 (You'll be mentioned here)!

Thanks!

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DynamicSquid (107)

I tried running your code with a 500x500 cube, but it took too long lol

bgrubert (124)

@DynamicSquid You can't really go over 200 - 500

DynamicSquid (107)

@bgrubert In theory, is it possible to computer big numbers? Or does the code just take too long and the computer stops running it?

bgrubert (124)

@DynamicSquid The output would be millions of digits long and my chromebook just can't handle that. My code should be able to handle it - I have no idea how large you can go with Javascript Bigint

DynamicSquid (107)

@bgrubert I see... Still a cool code btw

bgrubert (124)

@DynamicSquid There is another website that does this but it bugs out with higher than 30 cube size