Non-euclidean virtual reality

Non-euclidean virtual reality




Try at http://h3.hypernom.com and http://h2xe.hypernom.com. Controls: wasd rotates, arrow keys move, numbers change decoration, c changes colours.

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About the Author: Henry Segerman

44 Comments

  1. Ah, I was confused on my first watch about why the vertex is connected to infinitely many cubes, but now I realized it's not like the normal hyperbolic square tiling that is common when showing 2D hyperbolic space, but rather one where (if we're still in 2D) the vertices of the squares are all at infinity. So the icosahedron looking things are actually the equivalent of horocycles.

    By the way, is it possible to have a regular cube tiling with a finite number of cubes per vertex? My brain can't think past the 2D case…

  2. IM GONNA ATTEMPT THIS ON THE OCULUS QUESTTT (firefox reality)
    report: i also checked it out on the oculus browser but both failed (theres the one circle app so if you too own a oculus quest (or quest 2) then download firefox and try to do the vr for me it didnt work

  3. Scissors cuts paper,
    Paper covers rock,
    Rock crushes lizard,
    Lizard poisons Spock,
    Spock smashes scissors,
    Scissors decapitate lizard,
    Lizard eats paper,
    Paper disproves Spock,
    Spock vaporizes rock,
    Rock crushes scissors.

  4. Is H×E2 a thing? What would it look like? If the hyperbolic one was, say, forward/backward (if you were facing a certain way), but up/down and left/right were euclidean, would that even, like, make sense? 'cause I can kinda see a hyperbolic plane with a euclidean up/down but adding a hyperbolic direction perpendicular to a euclidean one, I dunno even what the heck that would look like…
    Also I must be tired, cause normally I'd be too starstruck to even consider trying to ask you a question directly… You are both SO COOL…

    Sincerely, Cat

  5. I don’t think this is a good model of non-Euclidean geometry, because it didn’t effect the unit space very well, so it is like Euclidean cubes put together in the corner, rather than the smooth hyperbolic space with rectangles having less than 360 degrees inner angle sum

  6. There needs to be a horror vr game where you explore a non-euclidian mansion that's huge while still excisting in a small room. Then you could actually walk around it in real life while in vr.

  7. Isn’t this Euclidean? Love craft confused those words on his writing, and the word for buildings/constructs created with a curve is Euclidean is it not..?

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