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    Pascal’s Triangle and its Secrets

    Fibonacci, Lucas and the Golden Ratio in Pascal’s Triangle

    By David Benjamin. Posted January 14, 2022

    This is the third in a series of guest posts by David Benjamin, exploring the secrets of Pascal’s Triangle. Leonardo Pisano (1170-1250), now universally known as Fibonacci, was born in Pisa, Italy, where he was also living at the time of his death. He was educated in north Africa as his father worked there, representing the…

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    Blackboard Bold

    Mobile Numbers: Truchet Tiling

    By Katie Steckles. Posted January 7, 2022

    In this series of posts, Katie investigates simple mathematical concepts using the Google Sheets spreadsheet app on her phone. If you have a simple maths trick, pattern or concept you’d like to see illustrated in this series, please get in touch. Since apparently I’m now a maven for interesting fun things built using Google Sheets, someone tagged…

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    News Roundup

    Aperiodical News Roundup – December 2021

    By Katie Steckles. Posted January 5, 2022

    Photograph of Jacques Tits

    Here’s a roundup of news stories from December 2021 that we didn’t cover at the time. Maths results Firstly, some nice news of a proof of a result on the density of unit fractions – a set of integers of positive density must contain distinct $n_1,\dots,n_k$ such that $\frac{1}{n_1}+\ldots+\frac{1}{n_k}=1$. (via Thomas Bloom) According to this…

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    News

    Mathematicians on TV at Christmas, 2021

    By Christian Lawson-Perfect and Katie Steckles. Posted January 1, 2022

    A surprising number of mathematicians (including some friends of the Aperiodical) have been on UK telly this Christmas! Nira Chamberlain on University Challenge Winner of the Big Internet Math-Off 2018, Nira Chamberlain, captained the Portsmouth University team in an episode of the University Challenge Christmas special (on iPlayer, and the episode on YouTube). We’re pleased…

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    News

    Particularly mathematical New Years Honours 2022

    By Peter Rowlett. Posted January 1, 2022

    It’s that time of year when we take a look at the UK Government’s New Years Honours list for any particularly mathematical entries. Here is the selection for this year – any more, let us know in the comments and we’ll add to the list.  David Winton Harding, founder of the Winton Group, knighted for…

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    Blackboard Bold

    The Mathematics of Spirograph

    By Katie Steckles. Posted December 21, 2021

    Travel Spirograph kit, with blue and red pens

    If you’re the kind of person who’s interested in doodling and/or fun toys, you might have encountered the fun doodling toy Spirograph, or some unbranded equivalent. It sits somewhere on the continuum between an artistic drawing tool and a neat mathematical gadget.

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    Pascal’s Triangle and its Secrets

    Sequences in the triangle and the fourth dimension

    By David Benjamin. Posted December 19, 2021

    This is the second in a series of guest posts by David Benjamin, exploring the secrets of Pascal’s Triangle. Sequences in the diagonals There are many sequences of numbers to be found in Pascal’s triangle. The Natural numbers occur in the second diagonal, running in either direction, and the next two diagonals after that contain…

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