Geometry on other surfaces
These videos are worth watching if you are interested in geometry on other surfaces (eg the sphere), or the issues with mapping the globe on to a 2D plane.
https://www.numberphile.com/videos/5-sided-square
https://www.numberphile.com/videos/strange-map-projection
Mobius Loops
Mobius Loops investigation instructions are here (the instruction for the hearts is at the very end): https://think-maths.co.uk/wp-content/uploads/2024/11/Mobius-loops-Investigation-PDF.pdf
Fold and Cut
We made Halloween themed (www.think-maths.co.uk/fold-and-cut-bat) fold and cut resources previously.
Erik Demaine’s website (mathematician who worked on fold and cut) – includes templates of shapes to print out and fold along the dashed lines: https://erikdemaine.org/foldcut/
An interactive where you can type in some text (eg your name) and you will be given the fold patterns for how to found each letter to cut it out in one cut. You’d need to screen capture and print each letter and fold along the lines shown. https://erikdemaine.org/fonts/simplefoldcut/
A video about the fold and cut theorem: