The Elements of Dynamic Symmetry
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Dynamic symmetry is a proportioning system, and natural design methodology emphasised by the Canadian writer and illustrator Jay Hambidge (1867-1924) in his book The Elements of Dynamic Symmetry.
The system uses a number of dynamic rectangles based on ratios such as
- √1 = 1, √2 = 1.4142..., √3 = 1.732..., √4 = 2, √5 = 2.236...,
the golden ratio φ = 1.618...,
- √φ = 1.272..., φ2 = 2.618... .
From the study of phyllotaxis and the related Fibonacci sequence
- 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ... ,
Hambidge postulated substitute sequences such as
- 118, 191, 309, 500, 809, 1309, 2118, 3427, 5545, 8972, 14517, etc.