Hypergeometric functions | Computer algebra

Gosper's algorithm

In mathematics, Gosper's algorithm, due to Bill Gosper, is a procedure for finding sums of hypergeometric terms that are themselves hypergeometric terms. That is: suppose one has a(1) + ... + a(n) = S(n) − S(0), where S(n) is a hypergeometric term (i.e., S(n + 1)/S(n) is a rational function of n); then necessarily a(n) is itself a hypergeometric term, and given the formula for a(n) Gosper's algorithm finds that for S(n). (Wikipedia).

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GoGeometry Action 5!

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Tomas Rokicki - HashLife - G4G13 Apr 2018

Learn about this amazing, magical algorithm, by Bill Gosper

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Link: https://www.geogebra.org/m/QesuDKYD

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Game of Life: Gosper's breeder

Gosper's Breeder is a pattern in the Game of Life. The Game of Life is a cellular automaton invented by John Conway in the late 1960s. I write about it in my book Alex Through the Looking-Glass: How Life Reflects Numbers and Numbers Reflect Life: http://www.amazon.co.uk/dp/1408817772 Th

From playlist The Game of Life

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Game of Life: Gosper glider gun

The Gosper glider gun is a pattern in the Game of Life. The Game of Life is a cellular automaton invented by John Conway in the late 1960s. I write about it in my book Alex Through the Looking-Glass: How Life Reflects Numbers and Numbers Reflect Life: http://www.amazon.co.uk/dp/14088177

From playlist The Game of Life

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R. William Gosper - Minsky's "Circle" Recurrence: Recent News - G4G12 April 2016

(With Rohan Ridenour) Some interesting special cases of the recurrence, including an open problem and a connection to Penrose tiles. (With animations.)

From playlist G4G12 Videos

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Bill Gosper - The Dragon Function is Way Cooler than the Dragon Curve - G4G14 Apr 2022

To view the PDF conclusion of the presentation go to: https://www.gathering4gardner.org/g4g14gift/G4G14-BillGosper-PresentationFollowup-Apr2022.pdf To view Bill's animation go to: https://www.gathering4gardner.org/g4g14gift/G4G14-BillGosper-Annimation.gif Particularly in the recreational

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Arithmetic With... Continued Fractions?? #SoME2

Arithmetic! On continued fractions! It's possible, but not well known or widely used in practice. This video explores the basics of this underappreciated area of math. This is my submission for SoME2 (https://www.youtube.com/watch?v=hZuYICAEN9Y&t=0s) SOURCES & FURTHER READING: Continued

From playlist Summer of Math Exposition 2 videos

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Remembering John Conway - Part 3

Bay Area Artists and Mathematicians - BAAM! with Gathering 4 Gardner - G4G present Remembering John Conway Mathematician John Horton Conway died of COVID-19 on April 11, 2020. On April 25th, the Bay Area Artists and Mathematicians (BAAM!) hosted an informal Zoom session to share memories

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Special thanks to archive.org for hosting these episodes. Downloads of all these episodes and more can be found at: http://archive.org/details/computerchronicles

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GoGeometry Action 21!

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Illusion Lissajous Roller

Dual axis illusion Gosper's roller : x=cos(2t), y=cos(3t) Second roller : x=cos(t), y=cos(2t) Buy at http://www.shapeways.com/shops/GeometricToy One of Dual Axis Illusion.

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