Saturday, 9 July 2016

The Harriss spiral is constructed from rectangles in the ratio of the plastic number (1.3247…), in a similar way to...


The Harriss spiral is constructed from rectangles in the ratio of the plastic number (1.3247…), in a similar way to how a Fibonacci spiral is created from rectangles in the related golden ratio (1.6180…). These plastic rectangles can be split into two smaller plastic rectangles, leaving a square. Recursively splitting the rectangles, and drawing curves in the squares gives this fractal spiral.

I just want to say merci beaucoup to matthen for all his work, absolutely addictive!!
You can find his work here: http://blog.matthen.com/

Reference:
https://www.theguardian.com/science/alexs-adventures-in-numberland/2015/jan/13/golden-ratio-beautiful-new-curve-harriss-spiral

#math   #coding   #HarrissSpiral

6 comments:

  1. Basis of A sized paper it seems

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  2. Ha!..that's a bit silly, Marc ;)

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  3. Yah , I'ma kidder Corina Marinescu :-)

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  4. Ok, so in that article I see at least 3 references to Major Mathematical and Physical concepts I have assembled the past year (2014-15) around "Wave–particle duality" and quantum entanglement in this One article.

    So I'm a bit scared now that I am NOT joking , and so my other GUT theories could pan out and coalesce too ..
    C'mon really ? Ok ok, so where is the Candid Camera for the early April Fools Joke ?

    Source : https://en.m.wikipedia.org/wiki/Wave%E2%80%93particle_duality

    -

    To my point then :

    Exactly How do WE mathematically model and then EXPERIMENTALLY TEST this out ? : ... Oh hey I have also found some new mathematics around reformulating Fourier transforms across N-dimensions with Imaginary numbers (think fractals intersecting real space to model real life snowflakes on the real plane ) and
    It is just begging to be formalized
    Into a GUT TOE of field theories ...
    And folks I can't promise results from our combined efforts, but I will promise to limit N to the least upper bound (LUB) per Occam's razor as applied by machine learning on big data.



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  5. Did any Jeweller succeed in marrying plastic to gold?

    (I could imagine it revealing a piece of cake to determine as a 3D wireframe, all the more so if camera characteristics are fine-tunable)

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