TONY STEELE

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Circle - Vesica - Phi algorithm - Square Root Phi series

( Phi 1.618034 / reciprocal phi 0.618034 )

 

 

The archaic circle as sophisticated relational tool and carrier of complex data

Phi square root series: (seed ratio 1.061997) (reciprocal 0.941622)

lucas & mile golden triangle

Besides the Lucas unit, a Mile unit is possible using the Tor - Avebury 61.8 axis & Pythagoras' Theorem

Golden Triangles ( Mile ) analysis

1lucas numbers

Lucas numbers identified in yardages

Using the algorithm's equation:

unit is 1364/2 = 682

sqrt5 x 682 - 682 = 843 [checking 1364 x phi = 843], [843 x phi = 521]

Golden Triangles ( Lucas ) analysis

lucas golden triangles mile golden triangles

Lucas golden triangle developed:

distance Tor to Edmund's Mound (the fourth site related by the phi algorithm) resolved as 1364 x sqrt phi 0.7862

Classic relationship to Phi of any additive series illustrating unsettled Phi convergence

Mapping alternate values resolves Phi convergence to two converging strands ( A & B ) with ratios of Phi squared & reciprocal phi squared.

Using the phi algorithm:

2 sites related ( Abbey - Lady Chapel & Tor)

The phi harmonic relates a third site (Chalice Well)

initial lucas units

Sub-divisions of the Phi series can therefore be acquired by using the square / square root function

Much simpler to translate all the above computations as circles

phiconstruct

Phi algorithm:

Vesica, relational device for two random points, and container for

an elegant relational algorithm which constructs a 1-2-sqrt5 right angled triangle for physical computation of the phi - harmonic radii.

(green line = sqrt5 = 2.2361)

[ translated equation: sqrt5 x unit - unit = double unit x phi ]

unit = half distance between the two random points

phi converge ALTERNATEphi converge subdividephi