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In this month's episode of Wrong, But Useful, we are joined by maths communication superhero @stecks, who is Katie Steckles in real life.

We discuss:

- Katie's numerous and various activities as a maths freelancer, including maths busking and being a mathematician-in-residence at the Stephen Lawrence Gallery at the University of Greenwich.
- Number of the podcast: 145; it’s a factorion, like 1, 2 and 40585 (and no others).
- A discussion between @jussumchick, @colinthemathmo, @mrmattock, and dozens more on the difference between an expression, equation, formula and identity.
- The 1089 trick and the Magic Gopher
- @solvemymaths’s request for mathematical wows - tell us your wows @wrongbutuseful, @icecolbeveridge, @reflectivemaths, and @stecks. I'm sure @solvemymaths would want to know, too.
- A new 'largest' prime
- @pozorvlak (Miles Gould) has his Big MathsJam talk up: How Mountaineering is like maths. Katie's gym machines are unsatisfactory. Colin found a 'football'.
- What would a ‘my first shapes’ book look like if it was done well?
- Which One Doesn't Belong?
- A poll from @peterrowlett (and @colinthemathmo’s reply)
- A numerical pyramid from @milasaintanne
- Katie is in Edinburgh for a puzzle hunt
- Katie is also involved in MathsFest - the London date is sold out, but there are (currently) tickets available for the Birmingham gig on the 23rd of January.
- Puzzle feedback: two gold stars for @chrishazell72 for answering the two previous puzzles.
- New puzzle: If you fold a piece of A4 paper in half three times, always folding the long edge in half, then cut all four corners off, how many holes will there be in the paper?

## Colin

Colin is a Weymouth maths tutor, author of several Maths For Dummies books and A-level maths guides. He started Flying Colours Maths in 2008.
He lives with an espresso pot and nothing to prove.