Golden Section

What was the great and golden secret known to Leonardo Da Vinci, Kepler, Plato and the ancient magicians Why were they forbidden to reveal it Can there really be a key to nature and life itself In this small but compact volume divine proportion supersleuth Dr Olsen unravels perhaps the greatest mystery of all time, a code that seems to underly life, the universe and everything, a pattern we instinctively recognise as beautiful, and which nature herself uses at every scale.

• 1 Vitruvian Man Harding
• 3 First published 2006 AD This edition Wooden Books Ltd 2006 AD Published by Wooden Books Ltd. 8A M
• 4 Deep gratitude to my loving parents, Ilene Clarion Thanks to contributors Keith Critchlow, John
• 1 inTroducTion Nature holds a great mystery, zealously guarded by her custodians from those who woul
• 2 3 The MysTery of Phi the golden thread of perennial wisdom The history of the golden section is di
• 4 5 Ratio between two numbers a and b Ratio between a and b a b or ab Inverse ratio
• 6 7 PlaTos DiviDeD line knowing precisely where to cut So, returning to our puzzle, why does Plato a
• 8 9 Phi on The Plane pentagrams and golden rectangles Moving from the onedimensional line onto the t
• 10 11 The fibonacci sequence stepping stones to gold Nature widely expresses the golden section thro
• 12 13 PhylloTaxis PaTTerns leaves on a stem Emerging as a science in the 19th century, phyllotaxis h
• 14 15 orDer behinD DiversiTy she loves me, she loves me not Despite its seemingly endless variety an
• 16 17 lucas nuMber Magic integers perfectly formed from irrationals In addition to the Fibonacci num
• 18 19 all creaTures the divine symphony of life Nature exhibits an array of beautiful and wondrous f
• 20 21 Phi in The huMan boDy in the image of the divine For over 20 years my students have been subje
• 22 23 growTh DiMinuTion through the looking glass Nature pulses with cycles and rhythms of increase
• 24 25 exPonenTials anD sPirals an extended family of wonderful curves In nature gnomonic growth occu
• 26 27 golDen syMMeTry proportion from asymmetry Nature presents us with a wonderful holographic port
• 28 29 Phi in huMan culTure sympathetic magic as above, so below A careful comparative study of cult
• 30 31 ancienT of Days tombs, temples and pyramids Like many ancient high cultures, the ancient Egyp
• 32 33 My cuP runneTh over half full or half empty After careful study of Egyptian and Greek art, and
• 34 35 a sacreD TraDiTion old wine in new bottles The philosophical and sacred number traditions of t
• 36 37 Phi in PainTing further Da Vinci secrets By carefully linking the ratios and proportions of a
• 38 39 MeloDy harMony in search of the lost chord Harmonics number in time was one of four disciplin
• 40 41 all ThaT glisTers is not gold Today we consistently find ourselves reaching for that plastic c
• 42 43 The golDen chalice a marriage of roots Plato said learning is remembrance. The teacher acts as
• 44 45 golDen PolyheDra water, ether and the cosmos The Golden Section plays a fundamental role in t
• 46 47 Phi in The sky Aphrodites golden kiss Not only the microcosm and mesocosm display a liking for
• 48 49 resonance consciousness buddhas, shamans and microtubules Consciousness is one of the great m
• 50 51 The PhilosoPhers sTone new vision and insight a promise kept We have come a long way, from a
• 52 53 aPPenDix ii fibonacci lucas forMul Definition of the Fibonacci Series F0 0, F1 1, then
• 54 55 aPPenDix iii The inDefiniTe DyaD Plato, as a Pythagorean, was under an inviolable oath not to
• 56 57 aPPenDix iv Designers recTangles aPPenDix v golDen Physics From Hambidge. Key ws whirli
• 58 aPPenDix vi More lucas Magic In the early 1990s English researcher Robin Heath observed the stra