Sure, that's a good way, but certainly doesn't give one the right intuition on a 4d object overall. A 4-ball / 3-sphere is easy because of it is symmetric, but slices through 3d cube can be crazy (hexagons, how?). How does the 4d double-rotation look for you? en.m.wikipedia.org/wiki/Rotatio...

There's a building in Berlin with my initials on it. That means it belongs to me, right?

For 24d conceptualising 😱, does this have anything to do with the existence of the Leech Lattice? en.m.wikipedia.org/wiki/Leech_l...

* Why there is a cross-product in 7d (and 3d) but nowhere else. I.e. a way of taking two directing and naturally giving a third orthogonal direction? (In 3d, it has to do with unit quaternions, which gives a way to multiply points on the 3-sphere = surface of 4-ball)

So do you have some intuition for any of the following? * Why 4d is so weird: there are spaces which topologically are the same shape as 4d space, but not smoothly (Exotix R4). It's too high-d for some methods, and too low-d for others, so crazy stuff cab happen

So even "visualising" in 3d is witchcraft for some of us. (Shout out to all the people with aphantasia!)

*Dog noise* somewhere in Berlin. (Starting to post here, with some pics from Folsom.)