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Think or blink!!!

Why does P.C look 'pre-shrunk' in this photo??? o_O

7230
 
126. Golden Spiral

A golden rectangle where (a+b) / a = golden ratio = 1.618


Golden rectangles yield more and more smaller golden rectangles.


The corners of the golden rectangles joined by a smooth curve
yields the Golden spiral…the most aesthetic curve found in Nature.



An impressive Golden Spiral Staircase.



Golden Spiral in Cactus Plants



Golden Spiral in Rose petal arrangement.



Golden Spiral in Galaxy.



Golden Spiral in a Shell



An elephant’s trunk forms a part of the golden spiral!



A millipede forming a lovely Golden Spiral.



The water sprayed by the lady’s hair follows the
most graceful curve in nature – a golden spiral!



Bidding “Bye Bye” to the Golden Spirals with a
beautiful flower photograph in a Golden Spiral!

 
Anything unusual might be amazing as well!

PHOTOS: Animals under the stars
These stunning shots capture safari animals as you’ve never seen them before - reflected in water under a starry night sky. In Andreas Hemb’s dramatic images, a cute elephant is caught standing next to the lake, a thirsty leopard stops to take a drink and two water buffaloes gaze upon their reflectio
 
Keys do not obey us any more...
either two of them work together or
none of them work in defiance!
P.S
defiance
/dɪˈfʌɪəns/
noun

  1. open resistance; bold disobedience.
    "an act of defiance"
    synonyms:resistance, opposition, confrontation; More



 
We have been seeing The Golden Spiral all around us -
in the sky , on the earth, in plants in the animals and insects- almost everywhere but never stopped to think
why the same pattern appears everywhere!

Gravity needed a ripe apple to land on Newton's unsuspecting head - to be explained and formulated in the form of a Law.

I guess it is the same thing with everything we take for granted!
 
while browsing for golden spiral, I read this
Among all of the unsupported assertions about the golden ratio one of the most puzzling is that the golden rectangle determines the proportions of the Nautilus shell, because it is demonstrably false. Given the flood of misinformation to be found on the internet it is probably inevitable that different versions of the idea are current, and some of them are not so obviously wrong, but it is surprising that it could have arisen in the first place. It is possible to trace its origins back into the nineteenth century, encountering some interesting methods of approximate construction along the way, but the mistake seems to be surprisingly modern.
 
We discover things and theories BUT do not make them public!
I can give you one more example!

124. “The Father of Binary Numerals”?

Pingala was an ancient Sanskrit grammarian (450 or 200 B.C). His real identity is not known. Some historians claim that he was the younger brother of Panini (a great Sanskrit grammarian of Fourth century BC) or was Pathanjali, the author of famous Mahabhashya (Second century BC).

Pingala’s famous work is Chandah Sastra , The Art and Science of Prosody. Prosody was an important requirement in all Vedic Rituals, which demanded the purity of utterance. Chandah Sastra consists of eight chapters and the work is dated to the transition period between the Vedic meter and the meter for the Sanskrit epics.

This work presents the first known description of a Binary numeral system. Pingala used the short and long syllables instead of the 0 and 1 used in modern times. The length of a long syllable was twice that of a short syllable.

While describing the Prosody, Pingala developed highly advanced mathematical concepts. Binomial theorem, Binary numerals and Fibonacci numbers can all be derived from his work on prosody.

The discussion of the combinations of Chandahs correspond to the Binomial Theorem. The basis of Prosody has connections with music as well as mathematics. These three are interrelated inseparably.

After all, language is dealing with syllables and words formed out of the combination of syllables. Likewise Mathematics deals with numbers and combination of numbers while music deals with tones and scales!

All these three formed the fundamental parts of Vedic chanting and shared the same foundation found in Chandah Sastra.

The Indian mathematician Virahanka (6th century A.D) showed how the Fibonacci numbers arose in an analysis of the the meters with long and short syllables.

The famous Fibonacci numbers are named after Leonardo of Pisa but they have been described Pingala of ancient India. These numbers appear under the name Matra meru (Mountain of Cadence).

Will the credit of paving way to Binary numeral system, Binomial theorem and Fibonacci numbers be rightfully bestowed on Pingala?

Visalaksi Ramani

 
Is the hair thin line of separation between the fake and real fast disappearing ???
If the fish did not eat the men, then the men would eat the fish!
 

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