Bayes’ Theorem allows us to assign a probability to an unknown fact. Thomas Bayes himself described an experiment with a billiard table so me and James tried to recreate it. Unfortunately, it didn’t quite go to plan…

I went to visit the National Museum of Mathematics (MoMath) in New York City to walk the Million Millimeter March to celebrate the 1 millionth visitor to MoMath. Puzzle enthusiast and mathematician Peter Winkler (Dartmouth) joined me to provide some fun facts about numbers along the way…

The route is shown below.

The fun facts about numbers explained by Peter Winkler are copied below for reference:

142,857 – a cyclic number. Try multiplying it by 1, 2, 3, 4, 5 or 6 and see what happens!

219,978 – the only 6-digit number such that if you multiply it by 4 it reverses!

322,560 = 9! – 8!

422,481 – the smallest number whose fourth power is itself the sum of three smaller fourth powers: 422,481^4 = 414,560^4 + 217,519^4 + 95,800^4

548,834 – a six-digit number equal to the sum of the sixth powers of it’s six digits: 548,834 = 5^6 + 4^6 + 8^6 + 8^6 + 3^6 + 4^6

604,800 – the number of seconds in a week.

742,900 – the number of different ways to walk from the bottom left to the top right (only moving along grid lines to the right or upward) in a 13×13 grid, always staying below the diagonal.

801,125 – the smallest number that is the sum of two positive squares in at least 2^2^2 ways.

As part of the celebrations for Global Math Week 2019, my video on how to use simple probability to improve your chances of winning at the board game Monopoly has been featured as a ‘Random Act of Mathematical Delight’. Check out the other amazing contributors via the Global Math Project website.

A short sneak preview of the full-length ‘Mandelbulbs’ video currently in production. A Koch Snowflake is an example of a 2D fractal with infinite perimeter but finite area. Full details of the calculation in the final video… COMING SOON!

Creating scientifically accurate nail art whilst discussing my research in fluid dynamics with Dr Becky Smethurst and Dr Michaela Livingston-Banks at the University of Oxford.

We recorded 1h30mins of footage, so this is the heavily edited version of our chat ranging from the fluid dynamics equations needed to describe the flow of water in a river, the Coriolis effect, the experimental set up replicating this, and how these experiments can help with the clean up of pollution.