Recreational mathematics

Arithmetic billiards

In recreational mathematics, arithmetic billiards provide a geometrical method to determine the least common multiple and the greatest common divisor of two natural numbers by making use of reflections inside a rectangle whose sides are the two given numbers. This is an easy example of trajectory analysis of dynamical billiards. Arithmetic billiards have been discussed as mathematical puzzles by Hugo Steinhaus and Martin Gardner, and are known to mathematics teachers under the name 'Paper Pool'.They have been used as a source of questions in mathematical circles. (Wikipedia).

Arithmetic billiards
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Arithmetic Sequences Part 1

This is an old video. See StatsMrR.com for access to hundreds of 1-3 minute, well-produced videos for learning Statistics. In this older video: an intro to writing rules for arithmetic sequences and recognizing that the change is a linear relationship between the number of the term and

From playlist Older Statistics Videos and Other Math Videos

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Using Clocks to Solve Fractions String 6

Here we use the clock model to deal with 3/18 and 3/9

From playlist Arithmetic and Pre-Algebra: Fractions, Decimals and Percents

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Using Clocks to Solve Fractions String 8

A fun string dealing with subtraction that leads to sixths and twelfths

From playlist Arithmetic and Pre-Algebra: Fractions, Decimals and Percents

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Using Clocks to Solve Fractions String 2

Another introductory video using clocks to understand fractions

From playlist Arithmetic and Pre-Algebra: Fractions, Decimals and Percents

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Using Money to Solve Fractions String 6

using patterns in money and a string of equations to find and understand the answers to fraction sums: http://www.youtube.com/playlist?list=PL16E70A44DE241092

From playlist Arithmetic and Pre-Algebra: Fractions, Decimals and Percents

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Using Money to Solve Fractions String 3

Adding with 1/20 or nickels: http://www.youtube.com/playlist?list=PL16E70A44DE241092

From playlist Arithmetic and Pre-Algebra: Fractions, Decimals and Percents

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Umberto Zannier - The games of Steiner and Poncelet and algebraic group schemes

November 13, 2017 - This is the first of three Fall 2017 Minerva Lectures We shall briefly present in very elementary terms the 'games' of Steiner and Poncelet, amusing mathematical solitaires of the XIX Century, also related to elliptic billiards. We shall recall that the finiteness of t

From playlist Minerva Lectures Umberto Zannier

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Using Money to Solve Fractions String 4

A string revealing some fun connections between fractions: http://www.youtube.com/playlist?list=PL16E70A44DE241092

From playlist Arithmetic and Pre-Algebra: Fractions, Decimals and Percents

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Quantum Ergodicity for the Uninitiated - Zeev Rudnick

Zeev Rudnick Tel Aviv University; Member, School of Mathematics October 26, 2015 https://www.math.ias.edu/seminars/abstract?event=47561 A key result in spectral theory linking classical and quantum mechanics is the Quantum Ergodicity theorem, which states that in a system in which the cl

From playlist Members Seminar

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Peter Sarnak - Nodal domains of eigenmodes of the Laplacian and of random functions [2013]

Gelfand Centennial Conference: A View of 21st Century Mathematics MIT, Room 34-101, August 28 - September 2, 2013 Peter Sarnak Saturday, August 31 10:50AM Nodal domains of eigenmodes of the Laplacian and of random functions Abstract: It is believed that the eigenfunctions of the quantiz

From playlist Number Theory

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Geordie Williamson 6 August 2020

Topic: Modular Representation Theory and Geometry Abstract: This will be a broad survey talk on interactions between geometry and representation theory, with a focus on representations in positive characteristic (“modular representation theory”). I will outline several basic questions (e.

From playlist Geordie Williamson external seminars

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Colloqui della Classe di Scienze: Corinna Ulcigrai, Slow Chaos - 2 febbraio 2022

Corinna Ulcigrai, University of Zurich - Switzerland. How can we understand chaotic behavior mathematically? A well popularized feature of chaotic systems is the butterfly effect: a small variation of initial conditions may lead to a drastically different future evolution, a mechanism at

From playlist Colloqui della Classe di Scienze

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Bitcoin Q&A: Hash Functions, Mining, and Addresses

How does a hash function work? Can you reverse a hash function? Are there risks of dependence on SHA-256? What is the purpose of double hashing to produce the address? Chapters 0:00 How does a hash function work? Can you reverse a hash function? 4:26 Are there risks of dependence on SHA-2

From playlist Bitcoin Q&A

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[BOURBAKI 2018] 31/03/2018 - 1/3 - Gabriel RIVIÈRE

Gabriel RIVIÈRE — Dynamique de l'équation de Schrödinger sur le disque (d'après Anantharaman, Léautaud et Macià) Dans une série de travaux récents, Anantharaman, Fermanian–Kammerer, Léautaud et Macià ont développé des outils d’analyse semi–classique afin d’étudier la dynamique en temps lo

From playlist BOURBAKI - 2018

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Using Clocks to Solve Fractions

We can use clocks to understand fraction expressions. This is an introduction video. Other videos are on this playlist

From playlist Arithmetic and Pre-Algebra: Fractions, Decimals and Percents

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Using Clocks to Solve Fractions String 4

More connections between clocks and fractions. Here we introduce 1/10

From playlist Arithmetic and Pre-Algebra: Fractions, Decimals and Percents

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Quantitative distributional aspects of generic diagonal forms - Jean Bourgain

Topic: Quantitative distributional aspects of generic diagonal forms Speaker: Jean Bourgain, IBM von Neumann Professor, School of Mathematics Time/Room: 2:00pm - 3:00pm/S-101 More videos on http://video.ias.edu

From playlist Mathematics

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Introduction to Decimals, lesson 12 #shorts

Watch the full playlist: https://www.youtube.com/watch?v=kcxK3_sROZA&list=PL14bv5vXK2WWuODhGbpPQA0GamV5ohOVb&index=1 Our Decimal System lets us write numbers as large or as small as we want, using the decimal point. Digits can be placed to the left or right of a decimal point, to show valu

From playlist Celebrities Teach Math: The Number System

Related pages

Greatest common divisor | Dynamical billiards | Martin Gardner | Least common multiple