Why (I thought) the Euro Ball being a Rhombicuboctahedron (would be) good for England. @standupmaths
Why (I thought) the Euro Ball being a Rhombicuboctahedron (would be) good for England.  @standupmaths
Uploaded July 2021 | Updated September 2026, 2 weeks ago
Check out Katie's video about The Unwanted Shape. 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. patreon.com/standupmaths

I showed bits from these two old videos:
All UK football road signs are wrong! Join the petition for geometric change! youtube.com/watch?v=btPqKAGyajM
Geometry of Footballs and the Cube-shaped Ball youtube.com/watch?v=cwWBpjeyRS0

Flat vs inflated ball image from here:
commons.wikimedia.org/wiki/File:Comparison_of_truncated_icosahedron_and_soccer_ball.png

The classic Platonic and Archimedean Solids animations all from wikipedia.
en.wikipedia.org/wiki/Platonic_solid
en.wikipedia.org/wiki/Archimedean_solid

This is the pixel-efficient cube-to-octahedron animation: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: standupmaths.com
US book: penguinrandomhouse.com/books/610964/humble-pi-by-matt-parker
UK book: mathsgear.co.uk/collections/books/products/humble-pi-signed-paperback
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Why (I thought) the Euro Ball being a Rhombicuboctahedron (would be) good for England.

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