Sunday, January 4, 2026

A pi by 4 formula

I was wondering about five consecutive toes in feet and four consecutive fingers and thumb in hands. 

I used my consecutive number expression mn(n+1). I added 1 for the thumb. Put m equal to 4.

I used the Internet mathematics great Wolfram Alpha.  And got the following result. This is a new result from me on pi.



You may recall Madhava of Sangamagrama gave us pi by 4. Ramanujan gave us 1 by pi apart from other pi results.  Wallis gave us pi by 2 from his product formula.

The above is a product formula and gives us pi by 4. This is the first time I got pi by 4. I got mainly pi by 3 into root 3 in infinite series form.

This tells us importance of 4 and also addition of 1 to it.

Have a nice day !!