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| PICTURE BY LEONARDO. NOTICE THAT THE CENTER OF THE PENTANGLE IS EXACTLY ON THE MAN'S NAVEL. COMPONENTS OF THIS ILLUSTRATION ARE GOLDEN SECTIONS, GOLDEN TRIANGLES, PENTAGRAM, CIRCLE, PENTAGON, AND SQUARE. |
PHI
THE GOLDEN MEAN, FIBANOCCI AND SCHUMANN
THE FIBANOCCI SERIES IS CALCULATED BY TAKING A WHOLE NUMBER AND ADDING IT TO THE NEXT NUMBER IN THE SERIES.
0+1=1,1+1=2,1+2=3,2+3=5,3+5=8
THUS THE SEQUENCE IS:
1..1..2..3..5..8..13..21..34..55..89..144..233..377..610..987..1597..ETC.
Dividing each number in the series by the one preceeding it produces a ratio which stabilizes around 1.618 or the golden mean!!
the golden mean is calculated by dividing any number by 1.618. this supplies the ratio at which the number can be divided for an asthetic division.
We regard this as aesthetic because it is pleasing to us, and the reason for that is probably because we are bombarded with this ratio in nature, art, music, even the human body is segmented according to this ratio. Artists have been using this ratio for composition for thousands of years. It shows up over and over again in architecture and paintings.
SCHUMANN RESONANCE
ratio between beats may be approaching .618, which is pHI or the Golden Mean.
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MY PAGES ON THE USE OF PHI IN
MANUSCRIPTS
MORE ON ROOT RECTANGLES AND PHI
| THANK YOU TO
DR.
RON KNOTT UNIVERSITY OF
SURREY,UK & HIS PAGES ON The Magic of Geometry and the Golden Section.
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