Welcome to Carnival of Mathematics issue 249! Before we dive into our monthly assortment of maths, it's customary to provide some fascinating information about the issue number.
So I asked ChatGPT for interesting nuggets abut the number 249. ChatGPT tells me that 249 is not prime, that it is 15^2+24 and 24 is close to a square number, and that its digital root is 6. None of that excited me, so I asked Copilot, which tells me that Asteroid 249 Ilse is the 249th catalogued asteroid, that Eglinton Island is the 249th largest island n the world, and that 249 is the international calling code for Sudan.
Giving up on AI, I asked Wikipedia about 249. It tells me that it is the natural number between 248 and 250.
So let's move quickly on to this month's links.
- Number Builder is a new online game from the tireless Christian Lawson-Perfect.
- John Cook argues that eigenvalue homework problems are backward.
- Ethan N. Epperly investigates if a polynomial function is trapped in a box, how much can it wiggle?
- John Cook (again) gives us Wagon's algorithm in three easy steps, with interesting stops along the way
- Lance Fortnow advises a reader worried about the future of mathematics and mathematicians
- Peter Cameron muses on whether mathematics is discovered or invented
- Kit Yates tells us about Middle Bias
- Skewray Research offers insights into an ancient stringed instrument through animated GuQin harmonics
- Tanya Khovanova proves a longstanding conjecture of Alexander Karabegov
- Dave Richeson presents a 3-D printing idea of Colm Mulcahy's
- Colin Beveridge's Double Maths First Thing reflects on good and evil in the Links section of issue 4D
- Grant Sanderson and Peter Winkler present the Lattice Bacteria Puzzle, the solution to which I find truly astonishing. Think about it before the answer appears on the 3blue1brown YouTube channel!
- Cracking the Cryptic tackled a sudoku by Olima celebrating the first day of the Gathering4Gardner meeting G4G16
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