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HV
Houdini von Lashes
@houdinivonlashes.bsky.social
Masochistic leather dog, owned by AlphaSadist. 📍Somewhere near Cologne
55 followers146 following17 posts

Meow 🙋‍♂️ packing now(!)

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Modulo planning and logistics for future me, I do want to do CSD Berlin this year, and I would then presumably have an empty space in my hotel room, so why not? (I think we’ve chatted, briefly, but you can get KinkBikerLad to properly introduce us in any case…)

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This is absolutely fine. *Barks and wags*

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That is indeed a dog

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HVhoudinivonlashes.bsky.social

Hmmm... This is entirely fascinating, and I have plenty of questions. I'm sort of just trying to figure out whether you're really getting the full 4d/whatever visualisation in a useful way, or you can piece together the 3d slices in an intuitive way, but maybe are missing subtleties because of it.

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HVhoudinivonlashes.bsky.social

You visualise 5d by embedding it in 6d‽ 🤨You're just a small step away from embodying the maths joke: oh visualising 4 dimensions is easy, just visualise D dimensions and then set D=4.

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HVhoudinivonlashes.bsky.social

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...

A certain cross-section through a 3d cube, giving a hexagon.
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For 24d conceptualising 😱, does this have anything to do with the existence of the Leech Lattice? en.m.wikipedia.org/wiki/Leech_l...

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* 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)

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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

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HV
Houdini von Lashes
@houdinivonlashes.bsky.social
Masochistic leather dog, owned by AlphaSadist. 📍Somewhere near Cologne
55 followers146 following17 posts