Rubik*s Cube

Report
Rubik’s Cube
By, Logan Emmert
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http://cube.misto.cz/_MAIL_/pix/hana3.jpg
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Ernő Rubik
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• 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 Cube
Type of cube:
2X2 3X3 4X4
5X5
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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
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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
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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
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• “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
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Algorithms
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•
•
•
•
•
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
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• All of the
3x3x3
rotations
plus: Rr, Ll,
Rr’, Ll’, r, l,
r’, l’.
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http://www.9spuzzles.com/syssite/
home/shop/1/pictures/productsimg/
big/53.jpg
4x4x4 and 5x5x5 Algorithms
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• Use all of the
3x3x3 algorithms.
• Also uses: L’, R,
U, F, U’, L.
http://img254.imageshack.us/img254/2725/2
7augwed0032en6.png
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Parity
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• Parity is the
worst thing that
can ever
happen to a
Rubik’s Cube.
• Example 
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http://www.masterthecube.com/parity.JPG
Parity Algorithms
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• 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.
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http://www.speedcubing.com/chris/images/4as3
-genpureollparity.gif
Works Cited
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• "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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