(see new image posted)
Whilst creating a series of studies on PHI . . . no matter what size square I start with, when I subdivide the resulting PHI rectangle - I find myself back to a square after 7 divisions?
Is this accumulative error . . . or something more profound?
I ask myself . . .
Namaste,
David
Whilst creating a series of studies on PHI . . . no matter what size square I start with, when I subdivide the resulting PHI rectangle - I find myself back to a square after 7 divisions?
Is this accumulative error . . . or something more profound?
I ask myself . . .
Namaste,
David
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Re: In Search of PHI
Fri, August 12, 2005 - 3:02 PMI appreciate the mathematicians will grill me on this . . . do not think I am un-aware :-)
Twas just an abservation . . .
David -
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Re: In Search of PHI
Fri, August 12, 2005 - 3:43 PMI'm not sure if I understand the question. The image appears to be a progression of the Fibonacci sequence starting from 1 and proceeding outwards, rather than the opposite direction. The next logical numbers after 21 would be 32, 55, 89, ad infinitum.
The sequence begins with 0, 1, 1, 2, 3, 5; so going backwards on this illustration from 21, 1 is in the seventh position, 1 is also in the eighth position, and 0 is in the ninth position. -
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Unsu...
Re: In Search of PHI
Sun, August 14, 2005 - 7:27 PMJust a thought...if you divide any number by 7 you get the enneagram and .142857142857.... maybe its linked in some way -
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Re: In Search of PHI
Sun, August 14, 2005 - 10:58 PMNow that is interesting . . . :-)
Any mathematicians care to enlighten on this one . . .
Might scoot of to my favourite Fibonacci Library to see if we can fathom . . .
As for the initial observation . . . It is just down to accumlative error (since PHI is one of those slippery buggers and entirely irrational :-)
Still find it intriguing that we humans (with out compasses) would always resolve our error at the 7th level . . . tis only since we've had the wonder of machines that we might reveal the Truth (or Lie - not sure which) :-)
Now I'm blabbering . . .
Namaste,
David
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Re: In Search of PHI
Thu, August 25, 2005 - 1:48 AMMaybe this is what you meant by mathematicians grilling, but the rectangle you have constructed is not a Phi rectangle, it's a Fibonacci rectangle. Very cool though about the 7 connection!!
to construct a phi rectangle, check this out:
mathworld.wolfram.com/GoldenR...gle.html -
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Re: In Search of PHI
Wed, August 31, 2005 - 3:37 AMAhh . . . that is a deception my friend . . . I added the Fib numbers after I had drawn the PHI rectangle :-) The rectangle was also drawn from the outside in . . . not the other way round :-)
Thats what was interesting . . .
Namaste,
D
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Re: In Search of PHI
Mon, September 26, 2005 - 11:06 AMi like this site about phi
and the Golden Ratio (1.618 to 1)
goldennumber.net/
goldennumber.net/geometry.htm
"beauty is in the phi of the beholder"
goldennumber.net/beauty.htm
