The 3D Shape with 1 Side - Klein Bottles @TomRocksMaths
The 3D Shape with 1 Side - Klein Bottles  @TomRocksMaths
Uploaded September 2024 | Updated September 2026, 2 weeks ago
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: incogni.com/tomrocksmaths

Find out more about Moira's work at the following links:
Academic Profile - https://www.math.stonybrook.edu/~moira/
Art - moirart.org
Instagram - instagram.com/moirart33

Recorded at the 2024 Heidelberg Laureate Forum: 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: youtube.com/watch?v=a5Azcwe9p4o
The Klein bottle: youtube.com/watch?v=yaeyNjUPVqs
The figure 8 Klein bottle: 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: conted.ox.ac.uk/profiles/tom-crawford

For more maths content check out Tom's website tomrocksmaths.com

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The 3D Shape with 1 Side - Klein Bottles

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