Check out Katie's video about The Unwanted Shape. https://www.youtube.com/watch?v=wN9f-k9oRts Instruction to make the rhombicuboctahedron: - Maths - That's it. (If it helps, I made the squares with a side length of 62mm and the triangles 102mm.) Huge thanks to my Patreon supporters who mean I can drop what I'm doing and spend two days writing/filming/editing such a ridiculous video just because I noticed a correlation involving triangles. https://patreon.com/standupmaths I showed bits from these two old videos: All UK football road signs are wrong! Join the petition for geometric change! https://www.youtube.com/watch?v=btPqKAGyajM Geometry of Footballs and the Cube-shaped Ball https://www.youtube.com/watch?v=cwWBpjeyRS0 Flat vs inflated ball image from here: https://commons.wikimedia.org/wiki/File:Comparison_of_truncated_icosahedron_and_soccer_ball.png The classic Platonic and Archimedean Solids animations all from wikipedia. https://en.wikipedia.org/wiki/Platonic_solid https://en.wikipedia.org/wiki/Archimedean_solid This is the pixel-efficient cube-to-octahedron animation:https://commons.wikimedia.org/wiki/File:P2-A5-P3.gif Big thanks to the roughly one million screaming children who were at some far side of the park I was filming in, but somehow still made their voices heard. CORRECTIONS - I should have mentioned that the England women's football team reached the Euro finals in 1984 and 2009. - Let me know if you spot any mistakes! Filming by Matt Parker Editing by Matt Parker Models by Matt Parker Graphics by Matt Parker (also, wikipedia) Music by Howard Carter Design by Simon Wright and Adam Robinson MATT PARKER: Stand-up Mathematician Website: http://standupmaths.com/ US book: https://www.penguinrandomhouse.com/books/610964/humble-pi-by-matt-parker/ UK book: https://mathsgear.co.uk/collections/books/products/humble-pi-signed-paperback