The 56-Year Argument About a Hopping Hoop

Stand-up Maths

Thank you to BetterHelp for sponsoring this video! To get 10% off your first month of therapy, go to https://betterhelp.com/standupmaths to sign up today. If you are need of urgent mental health support please check for crisis help lines available in your country. USA: https://www.mentalhealth.gov/get-help/immediate-help UK: https://www.nhs.uk/mental-health/advice-for-life-situations-and-events/where-to-get-urgent-help-for-mental-health/ Plus if you are in Europe you can search Mental Health Europe: https://www.mhe-sme.org/ Check out Ben's Hopping Hoop Geogebra file: https://www.geogebra.org/m/ddsfjbvy Thanks to Lisa Mather for making the hopping hoops for me. And an extra shout-out to Joel Tatarek-Gintowt for modelling and 3D printing the ball bearing casement. Here are all the papers mentioned: A Mathematicians Miscellany (1953) by John Littlewood https://archive.org/details/mathematiciansmi033496mbp The Hopping Hoop (1997) by Tadashi F. Tokieda https://doi.org/10.1080/00029890.1997.11990614 Hopping Hoops Don't Hop (1999) by James P. Butler https://doi.org/10.1080/00029890.1999.12005084 The Hopping Hoop Revisited (1999) by Timothy Pritchett https://doi.org/10.1080/00029890.1999.12005094 The rolling motion of an eccentrically loaded wheel (2000) by W.F.D. Theron https://doi.org/10.1119/1.1302324 The amazing variety of motions of a loaded hoop (2007) by W.F.D. Theron and M.F. Maritz https://www.sciencedirect.com/science/article/pii/S0895717708000289 The dynamics of an eccentrically loaded hoop (2010) by Andrew Taylor and Mary Fehrs https://aapt.scitation.org/doi/10.1119/1.3300613 CORRECTIONS - Yes, I know, 08:33 worst cycloid ever. No need to tell me. - At 12:23 I say "no friction" when I am talking about the hoop not skidding, and yes, that should be "infinite friction". - Let me know if you spot anything else! Huge thanks to my Patreon supports. They keep me rolling along. https://www.patreon.com/standupmaths Filming and editing by Alex Genn-Bash Props by Lisa Mather and Joel Tatarek-Gintowt Written and performed by Matt Parker GeoGebra and extra material/research by Ben Sparks Hoop catching by Nicole Jacobus Dog wrangling by Lucie Green Hoop chasing by Skylab the Dog 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