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Golden Ratio (1:6) එකට ගෙයක් හදාගන්න විදිය
- Thread starter Fordbros
- Start date
Janaka Priyantha Dayaratne,
Vishwa Shakthi & Scientific Vastu Institute,
593,
Galle road,
Horetuduwa,
Moratuwa.
Sri Lanka.
0717072700, 0766917313
Vishwa Shakthi & Scientific Vastu Institute,
593,
Galle road,
Horetuduwa,
Moratuwa.
Sri Lanka.
0717072700, 0766917313
Last edited:
The Golden Ratio, Golden Mean, Golden Section, Golden Number all refer to the same. It's commonly found in nature.
The Egyptians used it in 3000BC in the pyramid designs, Euclid and Pythagoras described it a long ago. The Greeks used it for the Parthenon architecture.
One of the curious properties of the Golden Ratio is that it can be defined in terms of itself.
φ = 1 + 1/φ
It also has a special relatioship to the Fibonacci numbers,
0, 1, 1, 2, 3, 5, 8, 13, 21, ... etc, each number is the sum of the two numbers before it.
If you divide two successive Fibonacci numbers eg 21/13 = 1.61538461....
If you go for higher numbers in the sequence the ratio gets closer and closer to the Golden Mean.
Fibonacci numbers are very common in plants, spiral leaf growth, petal growth are just a few examples.
The Golden mean is well known but there's another one associated with it. The Golden Angle.
The Golden Angle is the smaller of the two angles created by sectioning the circumference of a circle according to the golden ratio; that is, into two arcs such that the ratio of the length of the smaller arc to the length of the larger arc is the same as the ratio of the length of the larger arc to the full circumference of the circle.
The value is approx 137.508 degrees.
The Golden Angle is the way that plants spread their leaves. Every time a new leaf grows to minimise ovelap (to get the optimal sunlight), the leaves are set apart by the Golden Angle.
Plants don’t just use the Golden Angle for leaf arrangements. You’ll also find it in the arrangement of sunflower seeds and the centers of other compound flowers.
I cannot mention everything in a single post. Please do some reading.
The Egyptians used it in 3000BC in the pyramid designs, Euclid and Pythagoras described it a long ago. The Greeks used it for the Parthenon architecture.
One of the curious properties of the Golden Ratio is that it can be defined in terms of itself.
φ = 1 + 1/φ
It also has a special relatioship to the Fibonacci numbers,
0, 1, 1, 2, 3, 5, 8, 13, 21, ... etc, each number is the sum of the two numbers before it.
If you divide two successive Fibonacci numbers eg 21/13 = 1.61538461....
If you go for higher numbers in the sequence the ratio gets closer and closer to the Golden Mean.
Fibonacci numbers are very common in plants, spiral leaf growth, petal growth are just a few examples.
The Golden mean is well known but there's another one associated with it. The Golden Angle.
The Golden Angle is the smaller of the two angles created by sectioning the circumference of a circle according to the golden ratio; that is, into two arcs such that the ratio of the length of the smaller arc to the length of the larger arc is the same as the ratio of the length of the larger arc to the full circumference of the circle.
The value is approx 137.508 degrees.
The Golden Angle is the way that plants spread their leaves. Every time a new leaf grows to minimise ovelap (to get the optimal sunlight), the leaves are set apart by the Golden Angle.
Plants don’t just use the Golden Angle for leaf arrangements. You’ll also find it in the arrangement of sunflower seeds and the centers of other compound flowers.
I cannot mention everything in a single post. Please do some reading.
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