GEOMETRIC PROGRESSION
The sequence of the Basic Golden Proportion numbers is a geometric progression as follows:-
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0.618 1 |
1 |
1.618 |
2.618 |
4.236 |
6.854 |
11.09 |
etc |
etc |
| where each term is multiplied by 1.618 or divided by 0.618 as seen in the cascade of the Fibonacci Series. |
Click to Enlarge
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Besides the golden Proportion there are many other geometric progressions in nature. An example of two different progressions is shown in the two snail shells |
2 Snaill pic |
The musical octave scale of doubling is also a geometric progression.
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The cover of Huntley's book with the title of the "Divine Proportion" shows yet another spiral, which Huntley calls a logarithmic or equiangular spiral. It is generated by a continues line cutting the sites of the main triangle in the Golden Proportion and then subsequent sides. |
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