Fibonacci numbers

Pingala

Acharya Pingala (piṅgala; c. 3rd–2nd century BCE) was an ancient Indian poet and mathematician, and the author of the Chandaḥśāstra (also called the Pingala-sutras), the earliest known treatise on Sanskrit prosody. The Chandaḥśāstra is a work of eight chapters in the late Sūtra style, not fully comprehensible without a commentary. It has been dated to the last few centuries BCE. In the 10th century CE, Halayudha wrote a commentary elaborating on the Chandaḥśāstra. Pingala Maharshi was also said to be the brother of Pāṇini, the famous Sanskrit grammarian, considered the first descriptive linguist. (Wikipedia).

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The "Fibonacci" Sequence Was Actually Discovered In India 1000 Years Earlier

The sequence of numbers 1, 1, 2, 3, 5, 8, 13, etc was described by Fibonacci around 1200 AD. The Indian mathematician Pingala found the sequence at least 1,000 years before (probably 200 BC) while analyzing Sanskrit poetry. This video describes how the sequence arises from metrical analysi

From playlist Everyday Math

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Richard K Guy - Numbers, Pictures, and Richard Guy & The Leaning Tower of Pingala - G4G12 April 2016

The leaning tower of Pingala is a tipped up arrangement of what is commonly known as the Pascal triangle. It leads to the many properties of second order recurring sequences, which are, among other things, divisibility sequences.

From playlist Featuring Richard K Guy

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The pi/4 polyhedron

Matthias Goerner's 3D print: http://shpws.me/SZbN Countdown d24: https://youtu.be/U0soSn7BojQ Matthias' version of the construction of the polyhedron: http://www.unhyperbolic.org/sydler.html Demonstration of the Wallace–Bolyai–Gerwien theorem by Dima Smirnov and Zivvy Epstein: https://dmsm

From playlist 3D printing

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The Magical Fraction 1/999,999,999,999,999,999,999,998,999,999,999,999,999,999,999,999

The number 1/999,999,999,999,999,999,999,998,999,999,999,999,999,999,999,999 has the Fibonacci numbers in order for every group of 24 decimals. This video explains why the pattern emerges. (sources, proofs, and links below) Via Futility Closet: http://www.futilitycloset.com/2015/06/28/mad

From playlist Everyday Math

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The BuShou of HanZi :田

A brief description of the BuShou of 田.

From playlist The BuShou of HanZi

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The BuShou of HanZi :耳

A brief description of the BuShou of 耳.

From playlist The BuShou of HanZi

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The BuShou of HanZi :宀

A brief description of the BuShou of 宀.

From playlist The BuShou of HanZi

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The BuShou of HanZi :禾

A brief description of the BuShou of 禾.

From playlist The BuShou of HanZi

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The BuShou of HanZi :囗

A brief description of the BuShou of 囗.

From playlist The BuShou of HanZi

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The man who invented calculus: the life and work of Madhava (Lecture 3) by P P Divakaran

MADHAVA LECTURES THE MAN WHO INVENTED CALCULUS: THE LIFE AND WORK OF MADHAVA SPEAKER: P P Divakaran (formerly Professor of Physics at TIFR-Mumbai) DATE: 11 February 2020, 16:00 VENUE: ICTS-TIFR, Bengaluru Lecture 1: Tuesday, February 11, 2020 at 16:00 Lecture 2: Thursday, February 13

From playlist Madhava Lectures

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The Fibonacci Sequence: Math, Poetry, Nature | Simply Aki

This video is my entry to 3Blue1Brown's Summer of Math Exposition. Huge thanks to Grant Sanderson for this opportunity! In this video, I explore the Fibonacci Sequence with connections to math, poetry and nature. I hope that after watching this video, you will be inspired to do some... ma

From playlist Summer of Math Exposition Youtube Videos

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The BuShou of HanZi : 車

A brief description of the BuShou of 車.

From playlist The BuShou of HanZi

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The BuShou of HanZi :目

A brief description of the BuShou of 目.

From playlist The BuShou of HanZi

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Classical and Quantum Walks : The beauty of of numbers and probabilities by Sanchari Goswami

DISCUSSION MEETING: 7TH INDIAN STATISTICAL PHYSICS COMMUNITY MEETING ORGANIZERS: Ranjini Bandyopadhyay, Abhishek Dhar, Kavita Jain, Rahul Pandit, Sanjib Sabhapandit, Samriddhi Sankar Ray and Prerna Sharma DATE: 19 February 2020 to 21 February 2020 VENUE: Ramanujan Lecture Hall, ICTS Ban

From playlist 7th Indian Statistical Physics Community Meeting 2020

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The BuShou of HanZi :手

A brief description of the BuShou of 手.

From playlist The BuShou of HanZi

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A Tribute to Berlekamp, Conway, Guy, Graham, and Randi - G4G14 Apr 2022

In the long four years between G4G13 and G4G14, we lost some towering figures from the G4G community. It is hard for many of us to see how we can go on without them, but their legacy will live on. In this tribute session, we honor Elwyn Berlekamp, John Conway, Richard Guy, Ron Graham, and

From playlist G4G14 Videos

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The BuShou of HanZi :力

A brief description of the BuShou of 力.

From playlist The BuShou of HanZi

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Calculus 2, improper integrals & sequences intro (Mar 16, 2021)

Some of the history I describe at the end is not quite accurate- Al Kwarizmi did not calculate the size of the earth- this had been done long earlier by Eratosthenes & Ptolomy. Kwarizmi wrote an updated version of Ptolomy's geography book, and made super-accurate computations of the latitu

From playlist Math 1172 (Calculus 2) Spring 2021

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The man who invented calculus: the life and work of Madhava (Lecture 2) by P P Divakaran

MADHAVA LECTURES THE MAN WHO INVENTED CALCULUS: THE LIFE AND WORK OF MADHAVA SPEAKER: P P Divakaran (formerly Professor of Physics at TIFR-Mumbai) DATE: 11 February 2020, 16:00 VENUE: ICTS-TIFR, Bengaluru Lecture 1: Tuesday, February 11, 2020 at 16:00 Lecture 2: Thursday, February 13

From playlist Madhava Lectures

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The BuShou of HanZi : 音

A brief description of the BuShou of 音.

From playlist The BuShou of HanZi

Related pages

Binary number | Fibonacci number | Binomial theorem | Combinatorics | 0 | Pascal's triangle