> ## Content Index
> Fetch the complete content index at: https://www.cascadepbs.org/llms.txt
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# A Breakthrough in Higher Dimensional Spheres
- URL: https://www.cascadepbs.org/show/infinite-series/episode/a-breakthrough-in-higher-dimensional-spheres-bxkdf5/
- Published: 2024-04-02T22:52:11.000Z
- Updated: 2025-08-21T06:35:09.000Z
- Description: How do you stack hundred-dimensional oranges?
- Author: Cascade PBS Staff
- Tags: Infinite Series, Season 1, Episode 1, #ZZZ_Episode_60522715-6805-4d68-b65a-6ec96895da21, #episode, #ZZZ_Show_0efdefa6-fb6f-44e5-96f1-baf9a8c090e2, #geo-us, #v1.16

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.