Six is the number of sides on a hexagon, and hexagonal symmetry is one of the most wintry symmetries – due to the bond angle of water when frozen into ice, all snowflakes (with some minor exceptions) have hexagonal symmetry.

# Aperiodvent, Day 5: Dodecorations

If you’re thinking about decorating your house for the festive season, we recommend the Twelve Pentagons of Christmas – dodecahedrons. Here’s a few ways to get more regular twelve-sided polyhedra into your life.

# LaTeX/TikZ to draw a star graph $K_{1,n}$

For a diagram for a class this week, I’ve written a LaTeX command to draw star graphs using TikZ. A star graph $K_{1,n}$ is a graph with a single central node, $n$ radial nodes, and $n$ edges connecting the central node to each radial node. I am sharing this here in case it is useful… Read more »

# Aperiodvent, Day 4: Möbius Paper Chains

If you’re trying to think of ways to decorate your home, office or classroom, look no further than mathematically non-trivial paper chains, made from Möbius bands. All you need is some double-sided coloured paper (ideally the same colour on both sides, but if you want to show off the twist, you can go two-tone) cut… Read more »

# Aperiodvent Day 3: Mince Pi Pendulum

Today’s contribution is from friend of the site, Festival of the Spoken Nerd’s Matt Parker, who’s found a way to approximate π using a mince pie (or any type of pie, or indeed any small object with non-zero mass, but the mince pie is the most festive option). The trick is to use it as… Read more »

# The Maths Podcast to end all Maths Podcasts

At the MathsJam weekend gathering earlier this month, we found ourselves invited to join maths podcasting supremo Samuel Hansen for a recording session. Nothing unusual there: podcasts have been recorded at MathsJam before. But this time Samuel wanted to record more than one podcast at the same time – since many of the maths podcasting… Read more »

# Aperiodvent Day 2: Sprouts

Did you know there’s a mathematical game called Sprouts? It’s a game played by drawing dots and lines on paper, and while it seems simple, there’s actually some interesting maths – graph theory and game theory – behind it. According to Wikipedia: The game is played by two players, starting with a few spots drawn… Read more »