# Sam Hartburn

sam@samhartburn.co.uk

# Tag: animations

• ## Can You Turn This Pattern into a Knight’s Tour?

Did you notice that, in the video for More Than Nine Million Billion Ways, the order in which the attempts at random knights tours appear makes a knight’s tour itself? This video explains where it comes from. (Spoiler: it isn’t randomly generated!)

• ## More Than Nine Million Billion Ways

If you make random knight’s moves around a chessboard, how likely is it that you’ll find a path that visits every square without visiting any of them more than once? This video discusses some of the maths around that idea, including a song about one knight’s attempt to do it.

• ## (Not) Squaring the Circle

So I had this circle, but I wanted a square Don’t ask why, that’s my affair The crucial aspect of this little game Is that the area should stay the same

• ## Ruler Compass Animations

It’s well known that you can’t use a ruler and compass to construct a square with the same area as a given circle. But did you know that you can use a ruler and compass to construct a square with the same area as a given rectangle? Or triangle? Or other polygon?