Rubik’s Cube By, Logan Emmert 0011 0010 1010 1101 0001 0100 1011 http://cube.misto.cz/_MAIL_/pix/hana3.jpg 1 2 4 Ernő Rubik 0011 0010 1010 1101 0001 0100 1011 • 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. 1 2 4 The Numbers Behind the Cube Type of cube: 2X2 3X3 4X4 5X5 0011 0010 1010 1101 0001 0100 1011 Number of 3,174, 43,252 7,401 combinations: 160 6X6 7X7 283 ,003,2 septillion tresvigi74,489 ntillion ,856,0 00 157 septentr igintillio n 19.5 duoquin quaginti llion 26 148 218 1 Number of blocks: 8 Popularity: ¼ of the world’s population has touched a rubik’s cube. Number of sides: 6 6 6 6 6 Number of solutions: 1 1 1 1 1 56 93 2 4 6 1 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*’. 0011 0010 1010 1101 0001 0100 1011 1 2 4 Algorithms 0011 0010 1010 1101 0001 0100 1011 • “In mathematics, computing, linguistics, and related subjects, an algorithm is a finite sequence of instructions, an explicit, stepby-step procedure for solving a problem, often used for calculation and data processing.” – Quote from Wikipedia.org 1 2 4 Algorithms 0011 0010 1010 1101 0001 0100 1011 • • • • • 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. 1 2 4 4x4x4 and 5x5x5 Rotations 0011 0010 1010 1101 0001 0100 1011 • All of the 3x3x3 rotations plus: Rr, Ll, Rr’, Ll’, r, l, r’, l’. 1 2 4 http://www.9spuzzles.com/syssite/ home/shop/1/pictures/productsimg/ big/53.jpg 4x4x4 and 5x5x5 Algorithms 0011 0010 1010 1101 0001 0100 1011 • Use all of the 3x3x3 algorithms. • Also uses: L’, R, U, F, U’, L. http://img254.imageshack.us/img254/2725/2 7augwed0032en6.png 1 2 4 Parity 0011 0010 1010 1101 0001 0100 1011 • Parity is the worst thing that can ever happen to a Rubik’s Cube. • Example 1 2 4 http://www.masterthecube.com/parity.JPG Parity Algorithms 0011 0010 1010 1101 0001 0100 1011 • 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. 1 2 4 http://www.speedcubing.com/chris/images/4as3 -genpureollparity.gif Works Cited 0011 0010 1010 1101 0001 0100 1011 • "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/>. 1 2 4 0011 0010 1010 1101 0001 0100 1011 1 2 4