An exciting way to learn Mathematics- The Katapayadi Shankya

I can almost hear you screaming that exciting and Mathematics does not go hand in hand or ya ya I know its vedic mathematics right I know, I know.

But I am here to introduce a new method to memorize complicated formulas and encode them into devotional hymns for your favorite gods like Lord Krishna or Lord Shiva.

Historical data also can be encrypted using codified lyrics.

The oldest accessible evidence of the use of Kaṭapayādi System is from Grahacāraṇibandhana by Haridatta in 683 CE. It is also been mentioned in Laghubhāskariyavivarana written by Sankaranārāyana in 869 CE.

In some astronomical texts famous in Kerala planetary positions were encrypted in Kaṭapayādi system. The first such work is considered to be the Chandra-vakyani of Vararuci, who is traditionally accredited to the fourth century CE.

The “ka-ta-pa-ya-di” rule used by ancient Indian mathematicians and grammarians is a technique to map names to numbers. Writing the consonants of the Sanskrit alphabet into four groups with “Ka, Ta, Pa, Ya” as the begining letters of the groups we get The Katapayadi Shankya.

Here is an actual verse of spiritual content, as well as secular mathematical significance:

“gopi bhagya madhuvrata
srngiso dadhi sandhiga
khala jivita khatava
gala hala rasandara”

The translation is as follows: “O Lord anointed with the yoghurt of the milkmaids’ worship (Krishna), O savior of the fallen, O master of Shiva, please protect me.”

Vowels make no change and it is left to the author to select a particular consonant or vowel at each step. This great freedom allows one to bring about additional meanings of his choice. For example kapa, tapa, papa, and yapa all mean 11.

Now the interesting fact is that when you start numbering the consonants with their respective numbers from go = 3, pi = 1, bha =4 , ya = 1 , ma = 5 , duv = 9 and so on. you will end with the number 31415926535897932384626433832792. Do you know what number this is?

It is the ratio between the circumference of a circle to its diameter or better known as pi in modern calculations. The above number actually provides you the accurate value of pi divided by 10 to 31 decimal places.

I am pretty sure it will be pretty tough for us to do it by manual calculations and these people actually formulated a way for us to remember it. Isn’t it just exciting?
The Code not only praised Krishna, it operated on another level as a dedication to Lord Shankara or Shiva.

Also not only did the code give pi up to 32 decimal places , but there was a secret Master key within the patterning of the 32 that could unlock the next 32 decimals of the pi, and so on. A trick to infinity…

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Aiswarya Lakshmi
ais.laks@gmail.com
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