Comments by "" (@willemvandebeek) on "Thinking outside the 10-dimensional box" video.

  1. Argh, you made me think again about my puzzle why the surface of a 3D sphere is exactly 4 times the surface of 2D circle and how many times the surface of a 4D hyper-sphere is...? I have been turning the surface of a 2D circle into a surface of a 3D disc, which is 2 times the surface of a 2D circle (back and front), but blowing this 3D disc up from a 3D ellipsoid into a 3D sphere increasing that surface exactly 2 times is still breaking my mind, let alone turning the surface of 3D sphere into a 4D "hyper-disc" and blowing that up from a 4D hyper-ellipsoid into a 4D hyper-sphere... :(
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