How far can we push the utilities problem?

Get your own Mug with a Hole: https://mathsgear.co.uk/products/extreme-utilities-puzzle-mug Thanks to Past James Grime for making the original video with Past Matt. https://www.youtube.com/singingbanana Huge thanks to Eugénie von Tunzelmann for her visually digestible transformation of a mug with three holes: https://www.eugenievt.com/ And to Morgan and West for their gastronomically digestible transformation of a mug into a pretzel. You can see more of Rhys' work here: https://rhyslewisjones.co.uk/ And more of Rob's work here: https://craftyfools.co.uk/ Huge thanks to my Patreon supporters. My gratitude for them has no ceiling. https://www.patreon.com/standupmaths CORRECTIONS - None yet, let me know if you spot anything! Filming by Alex Genn-Bash Editing by Gus Melton Written and performed by Matt Parker Produced by Nicole Jacobus Music by Howard Carter Additional Music by Matt Lee Design by Simon Wright and Adam Robinson