This is part of the Aperiodical Advent Calendar. We’ll be posting a new surprise for you each morning until Christmas!
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The Aperiodical’s Actually Hexagonal Snowflake Competition 2015

COMPETITION DEADLINE EXTENDED – SEE BELOW!
To celebrate the year end, as well as our daily Advent Calendar posts, we’re also running a little competition – last year we did a pun competition, and this year it’s something a bit more crafty – well, it’s a knitting competition in which the knitting is optional.
Aperiodvent, Day 18: Numbers Aplenty

Ever wanted to look up a number and find out all kinds of things about it (like, if you’re making a mathematical advent calendar and want interesting facts about the date each day)? No longer do you have to sift through all the tedious non-maths facts you get if you look up a number on Wikipedia: there’s Numbers Aplenty, which allows you to type in any integer up to 15 digits long, and it’ll tell you a long list of the interesting mathematical properties it has. Integeresting!
This is part of the Aperiodical Advent Calendar. We’ll be posting a new surprise for you each morning until Christmas!
Aperiodvent, Day 17: Old Pappus’ Book of Mathematical Calligraphy
Mathematician and part-time calligrapher Andrew Stacey has assembled a beautiful guide to mathematical calligraphy, from the way mathematicians use notation to how different types of symbols can be written using calligraphy techniques. So you can sign all your Christmas cards with maths notation, and keep them looking pretty at the same time!
This is part of the Aperiodical Advent Calendar. We’ll be posting a new surprise for you each morning until Christmas!
Aperiodvent, Day 16: A tessellating bird
https://www.youtube.com/watch?v=9fhILAN9vOY&feature=youtu.be
If the song “The Twelve Days of Christmas” had gone up to day 16, that line might have gone “sixteen teals a-tessellating”, and it might look like the above video, made by Chris Watson.
Chris has made some worksheets which can help you make your own tessellations. He also sells his own work at tessellationart.com.
This is part of the Aperiodical Advent Calendar. We’ll be posting a new surprise for you each morning until Christmas!
Video: Mathematical Christmas Present Wrapping
If you were wondering what happened with all the left-over wrapping paper from this morning’s post about wallpaper groups, Katie has made a YouTube video demonstrating some mathematical quirks of gift wrapping. Enjoy!
Aperiodvent, Day 15: Mathematiques Modernes – A + B = C
This is part of the Aperiodical Advent Calendar. We’ll be posting a new surprise for you each morning until Christmas!