A Breakthrough in Higher Dimensional Spheres | Infinite Series | PBS Digital Studios

2016-11-17

[public] 954K views, 28.5K likes, 827 dislikes audio only

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How do you stack hundred-dimensional oranges? Learn about recent breakthroughs in our understanding of hyperspheres in the first episode of Infinite Series, a show that tackles the mysteries and the joy of mathematics. From Logic to Calculus, from Probability to Projective Geometry, Infinite Series both entertains and challenges its viewers to take their math game to the next level.

Higher dimensional spheres, or hyperspheres, are counter-intuitive and almost impossible to visualize. Mathematician Kelsey Houston-Edwards explains higher dimensional spheres and how recent revelations in sphere packing have exposed truths about 8 and 24 dimensions that we don't even understand in 4 dimensions.

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Sphere Packing in Higher Dimensions - Quanta Magazine

https://www.quantamagazine.org/20160330-sphere-packing-solved-in-higher-dimensions/

Why You Should Care about High-Dimensional Sphere Packing - Scientific American

https://blogs.scientificamerican.com/roots-of-unity/why-you-should-care-about-high-dimensional-sphere-packing/

Written and Hosted by Kelsey Houston-Edwards

Produced by Rusty Ward

Graphics by Ray Lux

Made by Kornhaber Brown (www.kornhaberbrown.com)