The 3D Shape with 1 Side - Klein Bottles

Moira Chas, Mathematical Artists and Professor @stonybrooku explains two alternative visualisations of a Klein Bottle to Oxford Mathematician Dr Tom Crawford. Use code "tomrocksmaths" at the link below to get an exclusive 60% off an annual Incogni plan: https://incogni.com/tomrocksmaths Find out more about Moira's work at the following links: Academic Profile - https://www.math.stonybrook.edu/~moira/ Art - https://www.moirart.org/ Instagram - https://www.instagram.com/moirart33/ Recorded at the 2024 Heidelberg Laureate Forum: https://www.heidelberg-laureate-forum.org/ Thanks to Jos Leys for the visualisations - used under a Creative Commons licence. Links to the original videos below. Two Moebius bands make a Klein bottle: https://www.youtube.com/watch?v=a5Azcwe9p4o The Klein bottle: https://www.youtube.com/watch?v=yaeyNjUPVqs The figure 8 Klein bottle: https://www.youtube.com/watch?v=rnWyTRpmzKQ Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: https://www.conted.ox.ac.uk/profiles/tom-crawford For more maths content check out Tom's website https://tomrocksmaths.com/ You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths. https://www.facebook.com/tomrocksmaths/ https://twitter.com/tomrocksmaths https://www.instagram.com/tomrocksmaths/ A HUGE thank you to all of my patrons for their support: Dr Peet Morris Jeryagor John Flynn John Hanson RenRen Denise Cooper Healy Hiro Delicious Rose Bin Liu Check out the Tom Rocks Maths Patreon page here: https://www.patreon.com/tomrocksmaths/