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  1. #1
    Join Date
    Jun 2007
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    Yakima, Wa
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    14,192

    View from a higher dimension unifies 2D Mobius Transformations

    This excellent video shows who 2D Mobius transformations can be seen as a projection from a 3D sphere. It's quite beautiful and eye-opening.

    • Skepticism is the antiseptic of the mind.
    • Remember why we debate. We have nothing to lose but the errors we hold. Who but a stubborn fool would hold to errors once they have been exposed?

    Check out my blog site

  2. #2
    Join Date
    Nov 2011
    Location
    North Carolina
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    258

    Flatland

    Quote Originally Posted by RAM View Post
    This excellent video shows who 2D Mobius transformations can be seen as a projection from a 3D sphere. It's quite beautiful and eye-opening.


    Has anyone ever read the book "Flatland" by Edwin Abbott? This reminds me of it in an updated and psychedelic format...cool.
    Facing the East,
    Frater Rosae Crucis



    "It is only by the exercise of Reason, that man can discover God."
    ~ Thomas Paine

  3. #3
    Join Date
    Jun 2007
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    14,192
    Quote Originally Posted by RC Christian View Post
    Has anyone ever read the book "Flatland" by Edwin Abbott? This reminds me of it in an updated and psychedelic format...cool.
    Oh yeah, that's a classic. As I recall, it seemed rather "quaint" to me when I read it years ago. That's probably because it was written in 1884. The entire book is available online here. It's got a great dedication:

    Dedication

    To
    The Inhabitants of SPACE IN GENERAL
    And H.C. IN PARTICULAR
    This Work is Dedicated
    By a Humble Native of Flatland
    In the Hope that
    Even as he was Initiated into the Mysteries
    Of THREE Dimensions
    Having been previously conversant
    With ONLY TWO
    So the Citizens of that Celestial Region
    May aspire yet higher and higher
    To the Secrets of FOUR FIVE OR EVEN SIX Dimensions
    Thereby contributing
    To the Enlargment of THE IMAGINATION
    And the possible Development
    Of that most and excellent Gift of MODESTY
    Among the Superior Races
    Of SOLID HUMANITY


    • Skepticism is the antiseptic of the mind.
    • Remember why we debate. We have nothing to lose but the errors we hold. Who but a stubborn fool would hold to errors once they have been exposed?

    Check out my blog site

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