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Square of 125

This geometric configuration contains a lot of information, and for those who wish to recreate and investigate this further, start with measurements ab .5 + be √1.25 = ae ϕ. Several dimensions are provided below.

125

ge .5, gf .1, ak √.05, as .1, ag √(ϕ + 1.25), bg √1.5, cg √1.05

lc/le= √5, hc/hd= √5 + 1, bc= √.05, bi= .125, bc/bi= √3.2, ch/hd= √3.2, bn/ne= √5, ag/gm= √5 + 1

1.25

pg/pr = √5, rn/nl = √5, pr/rl=√5, op/oq=√5, fl/fg= √3.2 Etc.

5 and 3.2 links:
5 x 3.2 = 16
√5 x √3.2 = 4 and √5 / √3.2 = 1.25 [4 x 1.25 = 5]
125 / 3.2 = 39.0625

golden spiral

By connecting the corners of those rotating squares in the blue upper right quadrant, g to n, and n to h etc.,
a Golden ratio spiral section (quarter circle) is formed.

Golden Ratio Spiral

golden rectangle

Golden Rectangles Construction:
Start the process by drawing guide lines A and B parallel to the square’s external margins, and connect them to the smal circled junction points. In this 2-dimensional diagram there are 8 Golden ratio spirals.

Golden Ratio

The point to which all golden rectangles converge is sometimes called the “Eye of God”. Here 8 golden rectangles and their converging points form a circle, and a radius (R) which is equal to the sides of length of the square (L).

D / R = (√5 + 3) is one example of interesting ratios that can be found within this diagram. This is just one face of a cube, and there are 48 golden rectangles in total, so try to imagine this as a three-dimensional cube.

Measurements and ratios that occur in this geometric drawing, show that there is one arithmetical number that is prominent, and that number is 5. In Biblical scripture the number 5 symbolizes “Grace”.

“The works of the LORD are great, sought out of all them that have pleasure therein.”
Psalm 111:2

Pi Phi and e Link

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