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?