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Thread: Ideas for a report on cubing?

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    Member ZamHalen's Avatar
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    Default Ideas for a report on cubing?

    I need to write an essay pertaining to math and I figured I may as well do it based on cubing or cube theory.
    So far I've been thinking:
    States/cases
    Probabilities
    Commutators
    # of possible states
    God's Number (the basic concept with just a bit of depth)
    Scramble/solve depth

    If anyone has a recommendation on the subject or any sort of source material that would be great. Please note though it is just for pre-cal so I can't do anything too crazy or else my teacher may think I cheated.
    Thanks
    Patrick Star-"We are not cavemen...we have technology "<smashes dollar with computer>

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    Member monkeytherat's Avatar
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    Well the classic Rubik's Cube - Math topic is group theory and how it relates to the cube, but if you haven't taken abstract algebra, that may be quite confusing. If you do group theory, you could work in commutators / conjugates, and explain how you went about finding the group.
    Sleeping is a gateway drug to being awake.

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    Member retep's Avatar
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    Perhaps mention something about the orientation and permutation of the pieces (if possible, why there are only so many cases, like why can you not get odd number of correctly oriented edge pieces after F2L)
    PBs Cubing since: Jan 15, 2012. Also enjoy Starcraft II and Chess.

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    Member ZamHalen's Avatar
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    Quote Originally Posted by monkeytherat View Post
    Well the classic Rubik's Cube - Math topic is group theory and how it relates to the cube, but if you haven't taken abstract algebra, that may be quite confusing. If you do group theory, you could work in commutators / conjugates, and explain how you went about finding the group.
    I considered this, but like you said it's a bit advanced for just a pre-cal class.
    Patrick Star-"We are not cavemen...we have technology "<smashes dollar with computer>

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