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  1. #1
    jellyfish's Avatar
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    Deriving the 83% Ridgeline using mathematical principles



    I presented my sister Sally with a challenge: to help me figure out if there was a basis in mathematics for the 83% ridgeline that has been widely recognized as the optimum length for hammocks.

    What she came up with is quite elegant. Using the Golden Ratio, she identified a range for a hammock ridgeline length, the average of which is exactly 83%.

    The lower bracket of the range (80.9%) is based on the Golden Pentagram and the upper bracket (85.8%) is based on the Golden Spiral.

    The Golden Ratio is replicated in nature, in the human body, and in plants and animals: chambered nautilus, fiddle-head ferns, cyclones, sunflowers, rose petals emerging from a bloom, the shape of a human ear and fist... the list is nearly infinite..

    The Golden Ratio is famously depicted in Leonardo da Vinciís Vitruvian Man, (circa ~1490) with the Golden Pentagram and the Golden Spiral superimposed in the image above.

    When adjusting the ridgeline of our hammock, you may identify with the symmetry of the pentagram or the harmony of the spiral, or you may find yourself equally channeling both by finding maximum comfort right in between.

    The golden ratio in the ridgeline proves that hammocks truly are divine.

  2. #2
    Junebugdawn's Avatar
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    Wow, interesting!!

    Sent from my SM-N920T using Tapatalk
    Just me being me


    Palmetto State Hangers Treasurer <--Facebook Group Page
    [COLOR="#008000"][SIZE=2]SC Fall Sprawl 2016-Santee State Park - October 13-16---->

  3. #3
    Over my head... sound good though!


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  4. #4
    Senior Member Gutyones's Avatar
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    Wow, pretty colors!

  5. #5
    Scarecrow's Avatar
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    Quote Originally Posted by jellyfish View Post
    The golden ratio in the ridgeline proves that hammocks truly are divine.
    No argument there in regards to the divinity of the hammock.

    This thread now makes me wonder how GrizzlyAdams and DemostiX would weigh in on this since they seemed to be leading the charge on the "Origins of 83.333%" thread some time ago.
    Scarecrow on Instagram

    "If somebody tells you there's a rule, break it. That's the only thing that moves things forward."
    -Hans Zimmer

  6. #6
    jellyfish's Avatar
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    Quote Originally Posted by Scarecrow View Post
    No argument there in regards to the divinity of the hammock.

    This thread now makes me wonder how GrizzlyAdams and DemostiX would weigh in on this since they seemed to be leading the charge on the "Origins of 83.333%" thread some time ago.
    Now I'm curious if there is independent verification of existing theories or if this is something new to throw in the pot.

    I am going to try the outer edges of this "Goldilocks Zone" to see if I lean more towards the star or the spiral.

    Since I've had this tattoo for the past 11 years, I am guessing I'm more of a spiral gal, but one never knows.


  7. #7
    New Member Andy "Bull" Bullock's Avatar
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    This is awesome.


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  8. #8
    Scarecrow's Avatar
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    Quote Originally Posted by jellyfish View Post
    Now I'm curious if there is independent verification of existing theories or if this is something new to throw in the pot.

    I am going to try the outer edges of this "Goldilocks Zone" to see if I lean more towards the star or the spiral.

    Since I've had this tattoo for the past 11 years, I am guessing I'm more of a spiral gal, but one never knows.

    In my own testing, I've found that I lean more towards "spiral".
    Scarecrow on Instagram

    "If somebody tells you there's a rule, break it. That's the only thing that moves things forward."
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  9. #9
    jellyfish's Avatar
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    I've decided to base my next hammock build, with integrated bugnet, completely off the golden ratio.

  10. #10
    FJRpilot's Avatar
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    Quote Originally Posted by jellyfish View Post

    Since I've had this tattoo for the past 11 years, I am guessing I'm more of a spiral gal, but one never knows.

    Nice Tat!
    I myself am made entirely of flaws, stitched together with good intentions.

    - Augusten Burroughs

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