The Most Natural Number in the World

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The Most Natural Number in the World

• Fibonacci and Perfection

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The Sequence

• 1 1 2 3 5 8 13 21 34 55 89 144 233 377
• 100th 354224848179261915075
• 449th 306171999248454503055431384808371720811128
  54323537384971316747993215712381490159334428056659
  49
• 500th (105 digits)
• 13942322456169788013972438287040728395007025658769
  73072641089629483255716228632906915576588762225212
  94125

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At it like Rabbits

• Fibonacci first came across the pattern of
  numbers in 1202.

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• 1/89 ?
• 1/89 0.011235955056179...
• Notice anything familiar?

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PETALS
White Calla Lily (1)
Crown of Thorns (2)
Iris (3)
Buttercup (5)
Coreopsis (8)
Cineraria (13)
Aster (21)
Daisy (34)
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SHE LOVES ME!
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Recurrence Relation to General Formula
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PHI, Divine Constant?

• The Golden Rectangle

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PHI, Divine Constant?
Leonardo da Vincis Art
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PHI, Divine Constant?
CalTech Engineering Plaza, designed round the
fibonacci spiral

• Architecture

• Music

Mozart? Beethovens 5th? Bartók, Debussy,
Schubert, Bach and Satie
Parthenon, built around Phi.

• My Room

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PHI, Divine Constant?
Miscellaneous
So, is Phi divine, natural, convenient or just
lucky? Are we finding things that arent there or
is the whole of nature designed round one
constant and one set of numbers?