Wednesday, March 18, 2015

Katapayadi system of verses

As I am researching the π, I find interesting ways ancient indian researchers described their findings. One such methodology used is Katapayadi System of verses. It is basically an system of code so that things can be defined in a way so that people can remember. The code is as follows.

1 23456789
क  ख ग घ ङ च  छ  ज  झ 
ट  ठ ड ढ ण त थ द ध 
प   फ  ब  भ  म  
य   र  ल  व  श  ष  स  ह  क्ष  
With the above key in place, Sri Bharathi Krishna Tirtha in his Vedic Mathematics gives following verse.
गोपी भाग्य मधुव्रात  श्रुङ्गिशो दधिसन्धिग  |
खलजीवित खाताव गलहालारसंधार |
If we replace the code from the above table in the above verse, here is what we get.
31 41 5926 535 89793
23846 264 33832792
That gives us \( \frac{π}{10} = 0.31415926535897932384626433832792\)

Apprantly this methodology of remembering digits of π has a name. It is called Piphilology.
Piphilology comprises the creation and use of mnemonic techniques to remember a span of digits of the mathematical constant π. The word is a play on the word "pi" itself and of the linguistic field of philology.

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