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    Travels in a Mathematical World

    Finding an equation that has the same solution when rotated

    By Peter Rowlett. Posted December 18, 2018

    (x+8)/6=9/(5+x) or, flipped, (x+5)/6=9/(8+x)

    I made this. Here’s how…

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    Aperiodvent

    Aperiodvent, Day 18: Polyomino-ho-ho

    By Katie Steckles. Posted December 18, 2018

    In what could be the most tenuous festive connection so far, we’ve found this lovely paper on folding polyominoes from other polyominoes. Maybe something to keep you occupied over those few days when all the festivities are over and everyone’s just sitting around eating chocolates… and playing with the foil wrappers? This post is part of…

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    News

    Byrne’s Euclid recreated for the web

    By Christian Lawson-Perfect. Posted December 17, 2018

    This is astonishing. Designer and ‘data geek’ Nicholas Rougeux has painstakingly recreated all six books of Oliver Byrne’s Euclid on the web, following the original as closely as possible while adding links between propositions and even making the diagrams interactive.

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    Aperiodvent

    Aperiodvent, Day 17: Christmas Stockings in Pascal’s Triangle

    By Katie Steckles. Posted December 17, 2018

    If you’re familiar with Pascal’s triangle, you’ll know it has a lot of brilliant hidden patterns and features. One of my favourites is the Christmas Stocking Identity, also more prosaically called the Hockey Stick Identity. The identity states: $$ \sum_{i=r}^n \binom{i}{r} = \binom{n+1}{r+1} \qquad \textrm{ for } n, r \in \mathbb{N}, n > r $$…

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    Aperiodvent

    Aperiodvent, Day 16: Relatively Prime Christmas Special

    By Katie Steckles. Posted December 16, 2018

    Remember this time last year, when we had a chat with Samuel Hansen for their amazing Relatively Prime podcast? We discussed our collective hobby of getting angry at stupid formulae in the news, and how it sometimes crosses over with the festive season. Listen again below. This post is part of the Aperiodical’s 2018 Aperiodvent Calendar.

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    Aperiodvent

    Aperiodvent, Day 15: Mathematical Present Wrapping video

    By Paul Taylor. Posted December 15, 2018

    In the viral YouTube hit of Christmas 2015, Katie Steckles demonstrates some of the most mathematically satisfying ways you can wrap your Christmas presents.

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    Aperiodvent

    Aperiodvent, Day 14: Dodecahedron star lantern

    By Paul Taylor. Posted December 14, 2018

    If you manage to dismiss all the ads, the blog Happiness is Homemade has a post which shows you how to make a cool dodecahedral star lantern out of paper (and glue, and you’ll need a light source too if you want it to actually function as a lantern). This post is part of the…

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