# Rubik’s Cube By, Logan Emmert

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Rubik’s Cube By, Logan Emmert http://cube.misto.cz/_MAIL_/pix/hana3.jpg

Ernő Rubik He created the Rubik’s Cube. Ernő is a Hungarian sculptor and professor in architecture. He was born in 1944 during WWII. Rubik invented the cube in the early 80s.

The Numbers Behind the Cube Type of cube: 2X23X34X45X56X67X7 Number of combinations: 3,174, 160 43,252,003,2 74,489,856,0 00 7,401 septillion 283 tresvigi- ntillion 157 septentr igintillio n 19.5 duoquin quaginti llion Number of blocks: 8265693148218 Popularity: ¼ of the world’s population has touched a rubik’s cube. Number of sides: 666666 Number of solutions: 111111

Rotations There are 10 rotations while doing the 3x3x3 Rubik’s Cube. R, R’, L, L’, U, U’, B, B’, F, F’. There are 20 rotations for a 4x4x4. All of the 3x3x3’s, and R*, R*’, L*, L*’, U*, U*’, B*, B*’, F*, F*’.

Algorithms “In mathematics, computing, linguistics, and related subjects, an algorithm is a finite sequence of instructions, an explicit, step- by-step procedure for solving a problem, often used for calculation and data processing.” – Quote from Wikipedia.org

Algorithms There are 5 algorithms for the 3x3x3 cube. Right algorithm: U, R, U’, R’, U’, F’, U, F. Left algorithm: U’, L’, U, L, U, F, U’, F’ Second Center: F, R, U, R’, U’, F’. Corners in the right places: U, R, U’, L’, U, R’, U’, L. Corners in the right position: R’, D’, R, D.

4x4x4 and 5x5x5 Rotations All of the 3x3x3 rotations plus: Rr, Ll, Rr’, Ll’, r, l, r’, l’. http://www.9spuzzles.com/syssite/ home/shop/1/pictures/productsimg/ big/53.jpg

4x4x4 and 5x5x5 Algorithms Use all of the 3x3x3 algorithms. Also uses: L’, R, U, F, U’, L. http://img254.imageshack.us/img254/2725/2 7augwed0032en6.png

Parity Parity is the worst thing that can ever happen to a Rubik’s Cube. Example  http://www.masterthecube.com/parity.JPG

Parity Algorithms Rr2, B2, U2, Ll, U2, Rr‘, U2, Rr, U2, F2, Rr, F2, Ll‘, B2, Rr2. Rr2, B2, Rr‘, U2, Rr‘, U2, B2, Rr‘, B2, Rr, B2, Rr‘, B2, Rr2, B2. http://www.speedcubing.com/chris/images/4as3 -genpureollparity.gif

Works Cited "Rubik's Cube." Rubik's. Web.18 May 2009.. "Rubik's Cube." Wikipedia. 2009. Web.19 May 2009.. "Rubik's Cube Solution." Lar5.com. Web.19 May 2009..