I’m very pleased to be hosting the 122nd edition of the Carnival of Mathematics. Tradition states that I am duty bound to tell you something interesting about the number 122. I thought maybe I could get away with saying that 122 has a prime factorisation of 2 x 61, but is that interesting? Noop. Then I noticed that 122 is in fact the start of my favourite sequence. Yes, I have a favourite sequence.

**The Kolakoski Sequence**

Named after William Kolakoski, this infinite sequence has the very special property of being a recursive fractal of sorts. It’s “self referential” and uses only blocks of 1’s and 2’s. The number of 1’s and 2’s in each ‘block’ recreates the sequence! Once you have it figured out, your mind goes a bit warped trying to recreate it. All good fun.

Now to the bit you came for. Here’s a round-up of the maths blogs submitted this month:

Devan Matthews has started a blog to showcase his (frankly ridiculously awesome) maths-based art – for which he only uses Microsoft Excel!

Dan McQuillan has written about how the arithmetic – geometric – mean – inequality can be understood jusing only the difference of squares formula

Colin Beveridge helps gamers make Minecraft circles

Kim Pitchford discusses her strategies for teaching vectors

Alex Bellos discusses a kickstarter project to develop a fibonacci clock

In a month that saw a UK election come and go, Alex also solves the logisical nightmare that is the Travelling Politician Problem,

and Stephen Cavadino points out the rather erroneous charts that fill our letterboxes during such times.

StephenÂ has also pointed out the frequent flaws in school maths resources when dealing with prisms

Patrick Honner considers how to optimise the benefits of a 20% shopping discount

Stuart Price has reflected about his journey into the world of teaching mathematics

Alexandra Fradkin tells a children’s story inspired by maths

Professor Richard Green discusses the penrose tiling of the United States

Dr Nira Chamberlain invents a new method for doing long multiplication

Shecky Riemann reviews new book ‘The Proof and the Pudding’

Ganit Charcha provides a systematic way to deal with unit fractions and fraction problems, and also factorials and trailing zeroes

Vlorbik discusses the algebraization of the rainbow

Thomas Oleron Evans creates a great equation with a strange rotational symmetry (!)

Finally, I’ve been posting my regular Maths Mr Men,

and hosting #mathsTLP on Sundays 7-8pm – Twitter Lesson Planning for Maths Teachers.

Thanks for reading đź™‚