http://mathworld.wolfram.com/Four-DimensionalGeometry.html#:~:text=4-D%3A%20general%3A%20circle%3A%20sphere%3A%20glome%3A%20hypersphere%3A%20square%3A%20cube%3A,edge%3A%20face%3A%20facet%3A%20facet%3A%20area%3A%20volume%3A%20content%3A%20content WebOct 6, 2024 · Imagine we have a 4D cube (hypercube) and a 3D sphere (sphere) inside it. The hypercube consists only of its 24 (2D square) faces. The question is: are there any possibilities for the sphere to escape hypercube's internal volume without crossing any faces? Consider radius of the sphere a lot smaller than hypercube's edge length. Remark.
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