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Rubik’s CubeBy, Logan Emmert

http://cube.misto.cz/_MAIL_/pix/hana3.jpg

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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.

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The Numbers Behind the CubeType of cube: 2X2 3X3 4X4 5X5 6X6 7X7

Number of combinations:

3,174,160

43,252,003,274,489,856,000

7,401 septillion

283 tresvigi-ntillion

157 septentrigintillion

19.5 duoquinquagintillion

Number of blocks: 8 26 56 93 148 218

Popularity: ¼ of the world’s population has touched a rubik’s cube.

Number of sides: 6 6 6 6 6 6Number of solutions: 1 1 1 1 1 1

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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*’.

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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

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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.

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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

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4x4x4 and 5x5x5 Algorithms

• Use all of the 3x3x3 algorithms.

• Also uses: L’, R, U, F, U’, L.

http://img254.imageshack.us/img254/2725/27augwed0032en6.png

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Parity

• Parity is the worst thing that can ever happen to a Rubik’s Cube.

• Example

http://www.masterthecube.com/parity.JPG

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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

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Works Cited

• "Rubik's Cube." Rubik's. Web.18 May 2009. <www.rubiks.com>.

• "Rubik's Cube." Wikipedia. 2009. Web.19 May 2009. <http://en.wikipedia.org/wiki/Rubik's_cube>.

• "Rubik's Cube Solution." Lar5.com. Web.19 May 2009. <www.lar5.com/cube/>.

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