PBS Infinite Series

A Breakthrough in Higher Dimensional Spheres (2016x1)

Air date: Nov 17, 2016

How do you stack hundred-dimensional oranges? Learn about recent breakthroughs in our understanding of hyperspheres. It tackles the mysteries and the joy of mathematics. From Logic to Calculus, from Probability to Projective Geometry, 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.