A Breakthrough in Higher Dimensional Spheres

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.


Cosmic Queries: Time and Higher Dimensions

Wormholes, hypercubes, Flatland, and more – Join Neil deGrasse Tyson as he explores time and higher dimensions with comic co-host Harrison Greenbaum and mathematician John Allen Paulos. To start off, Neil explains the concept of a fourth spatial coordinate. Then, our trio compares our knowledge of a possible 4th dimension to the Flatlander’s knowledge of the 3rd dimension in Edwin Abbott’s book Flatland. Ponder the idea that we’re prisoners of our three-dimensions, echoing the shortcomings of Abbott’s two-dimensional beings. You’ll also investigate the film Interstellar and its use of wormholes and the 5th dimension. Physicist James Kakalios, returning guest and Read More


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