Archarya Pingala wrote a treatise on this etc —-Chandaḥśāstra

Everything is still SO Western-euro centric but it is good to see the world waking up to different perspectives and acknowledgements

In Europe, Fibonacci’s Liber Abaci in 1202 describe these numbers; the book was meant to introduce the Indian number system and its mathematics which he had learnt in North Africa from Arab teachers while a young man growing up there. Fibonacci speaks of his education in North Africa thus: “My father, who had been appointed by his country as public notary in the customs at Bugia acting for the Pisan merchants going there, summoned me to him while I was still a child, and having an eye to usefulness and future convenience, desired me to stay there and receive instruction in the school of accounting. There, when I had been introduced to the art of the Indians’ nine symbols through remarkable teaching, knowledge of the art very soon pleased me above all else and I came to understand it.

I think the real brilliance comes from the Indian mathematician Acharya Pingala

“In Europe, Fibonacci’s Liber Abaci in 1202 describe these numbers; the book was meant to introduce the Indian number system and its mathematics which he had learnt in North Africa from Arab teachers while a young man growing up there. Fibonacci speaks of his education in North Africa thus: “My father, who had been appointed by his country as public notary in the customs at Bugia acting for the Pisan merchants going there, summoned me to him while I was still a child, and having an eye to usefulness and future convenience, desired me to stay there and receive instruction in the school of accounting. There, when I had been introduced to the art of the Indians’ nine symbols through remarkable teaching, knowledge of the art very soon pleased me above all else and I came to understand it.”

It was really awesome. Now I really think that most of us die without knowing fractions of things around us, It was one among of those.. Thanks for sharing.

I’m happy to hear that you won a single Keno game, but that hardly establishes that you’ve found a method. I can assure you that it was just random good luck and had absolutely nothing to do with using numbers in the Fibonacci sequence.

Lotteries, Keno and everything other such game of chance are completely random in their outcomes. I had one person who assured me once that he had discovered a Fibonacci pattern in the California Lottery. I downloaded about 10 years worth of winning numbers and plotted them on a graph for him. It looked like the static “pattern” you see on your TV when there is no signal. There was no pattern at all.

Play if you want for entertainment, but don’t bet anything you can’t afford to lose and don’t ever think the house/casino is dumb enough to stack the odds in anyone’s favor but their own. Good LUCK to you!

Great Article, thank you very much for shedding some much deserved light on this forgotten gem!!

I use the sequence for my Keno picks. I have only just begun learning what the numbers together meant when I did a google search for the repeating ratios I was seeing day after day when Fibonacci caught my attention…since a little self-education in Math I won a single Keno game yesterday for $625 using the Fibo-technique!!! Now I won’t let anyone tell me that the numbers are random. They only appear to be random because the Fibonacci sequence has been hidden away from the masses.

i like the no. 46368 as much as 317811.

How would i describe the relationships you discovered in the Fibonacci sequence?

Here we are in 2020 and I found your comment on this site! What a fantastic video, thank you for sharing all those years ago! Fascinating how Mathematics is always relevant and “hidden” in the world around us.

Suppose you decided to wager only $100 on red in roulette. If you lose you quit. If you win, you let the $200 ride. If you lose, you go home. If you win again ($400), you let it ride one last time. You either pick up $800, or go home having lost only your initial $100. In fact, of the eight equally likely possibilities you win $800 once and lose $100 seven times. That is an expected WIN of $100 for you. Proof: Just count the eight equally likely possibilities where even one loss (L) sends you home without your $100: WWW, WWL, WLW, LWW, WLL LWL, LLW, LLL. Let’s go to Las Vegas!

One of my favorite movies Run Lola Run (1998, German with subtitles, R-rated) has the poor, desperate-but-virtuous main character asking God for help to save her boyfriend’s life. She looks up from the street and sees a casino. Quite a scene follows.