You're reading: Posts Tagged: Pascal’s triangle

Second place in a single-elimination tournament

Trophy for Joint 2nd Place, awarded to "???"

I made a silly joke, and it made me think.

You may be aware that our own Christian Lawson-Perfect is running the Big Internet Math-Off here at the Aperiodical, a single-elimination tournament with sixteen competitors. I was knocked out in round one by the brilliant Alison Kiddle. I joked that if Alison went on to win, then I’d be joint second.

I’ve been mulling this over and I felt there was something there in thinking about the placement of the non-winners in such a tournament, so I had a play.

The 12 Days of Christmas and Pascal’s Triangle

Reader Marc Chamberlain sent this video in a bit too late to get in our advent calendar, but it’s about the 12 days of Christmas so we’re still cool, right?

Open Season – Singmaster’s Conjecture

Science and maths are all about finding things out. Mathematics in particular is about making statements, and then determining their truth (or falsity). Finding a proof, or disproof, of a mathematical theory can be as simple as finding a counterexample, or it can take hundreds of authors tens of thousands of pages.

In this short series of articles, I’m going to write about some mathematical questions we don’t know the answer to – which haven’t yet been proven or disproven. Hopefully you will find it interesting, and maybe someone will even be inspired to delve deeper and find the answers themselves.

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