Spherical Portal
Ғылым және технология
Another non-Euclidean portal!
0:00 Through a great circle
This one is a great circle in the three-dimensional spherical space. It connects six worlds, each with different fog colors and a different color of the "lone brick".
These videos use 270° field of view (obtained with the stereographic projection) -- with a small field-of-view, there would be no way to see the whole ring at once. We are going straight roughly the center, so the ring would be actually seen around you.
0:10 Different perspective
0:30 Berger sphere
In the previous videos, we could only see two lone bricks at once (the other four others being hidden by their counterparts in closer worlds).Here, we make the geometry less symmetric by stretching it along the Hopf fibers (i.e., obtaining the Berger sphere).
1:00 Knot portal
Let's try a knot portal, based on a trefoil knot. The idea is similar to • Self-Hiding Knot Portal but the spherical geometry makes it quite hard to grasp. It is "self-hiding" -- in some worlds the portal is not there -- but it may still appear to be there, because the light will travel around the sphere and hit the copy of the portal in another world. The knot has been obtained by embedding it in a torus in the standard way ((3,2) torus knot) and then embedding that torus in the sphere in the standard way (Clifford torus).
A slightly different version on Twitter: / 1373298292520550404
Music: the "Laboratory" theme from the HyperRogue soundtrack, composed by Shawn Parrotte
Made with the HyperRogue engine aka RogueViz
Source code: github.com/zenorogue/hyperrog...
A playable Windows exe at roguetemple.com/z/sims/notknot... (don't go into the walls; works in VR too!)
Пікірлер: 41
this ALMOST makes sense
@user-gm3wi1rt8r
3 жыл бұрын
essentially everything he does *almost* makes sense lol
The first one's so strange because it looks like we're not going through it at all (though the brick looks like it is)
@ZenoRogue
3 жыл бұрын
It is like if you were going along the Equator, and there were some towers on the poles (that you could still see for some reason). You move, but the towers are always in the same position.
this is probably the hardest-to-understand video so far, unfortunately. is there some sort of demo we could check out?
@ZenoRogue
3 жыл бұрын
Added a link to the playable demo to the description. (Press 'o', 'o', 'c' to access the scene at 0:00.)
Nooo idea what's going on
The music choice really surprised me but it fits so well lol. I love how playful the song is but then there’s a few unsettlingly off kilter moments 😊
Weird how far away place are also super close, interesting how our minds can conceptualize something we weren't supposed to work with.
Hmm...could this be exploited to create worlds that are both positively curved _and_ boundless? (I guess it depends on the order)
@columbus8myhw
3 жыл бұрын
Yeah, the first one could connect as many worlds as you want. The *quickest path between two distant worlds involves walking up to the edge of the portal and spinning around it a bunch of times
@ZenoRogue
3 жыл бұрын
You cannot get a connected complete manifold with spherical geometry larger than a sphere. Here the manifold is not complete, because the space inside the portal is not consistently defined. But yeah, if you do not want complete, it can go infinitely large.
love these recent experiments with portals! keep up the great work :)
If the developer of HyperRogue says something is "quite hard to grasp", then it's probably complex enough to drive Cthulhu mad.
@johnathanegbert9277
Жыл бұрын
This is probably what the inside of a fifth-dimensional eldritch abomination looks like.
What is a berger sphere?
I don’t understand why people bother with drugs when there’s stuff like this on the Internet
@johnathanegbert9277
Жыл бұрын
Pipe down, you don't want the people taking Ramblin' Evil Mushroom spores to hear you.
My mortal mind was not meant to comprehend this. But it does sort of make sense. I understand why in the first clip it looks like as if we're not going through the portal, even though we are.
sure it is very trippy but i dont like because of that, i like because its well made
This is mental, wow!
I love your stuff.
It looks like they are all based on the 120 - cell, except the last one, which is based on the 600 - cell. Is this correct?
@ZenoRogue
Жыл бұрын
Indeed -- the loop is based on the 120-cell, and the knotted one is based on the 600-cell.
I can't help but think of the warp from WH 40K.
"Your dreams have meaning" My dreams:
I am very confused
this scares me
@mookiibookii3496
3 жыл бұрын
Nice sekibanki pfp
The more I look at it the weirder it gets XD
Where do you get your music from?
@stl-xx5rq
3 жыл бұрын
The music is from his own game Hyperrogue which is a Rogue-like set in a hyperbolical space.
@columbus8myhw
3 жыл бұрын
stl 1988 Did he compose it?
@ohlordhebacc220
3 жыл бұрын
@@columbus8myhw no
@columbus8myhw
3 жыл бұрын
Ah, I see: kzread.info/dash/bejne/noyc2paiY6q_Z7w.html
@ZenoRogue
3 жыл бұрын
Yeah, this is the "Laboratory" theme from the HyperRogue soundtrack, composed by Shawn Parrotte. Most videos with sounds use something from the HyperRogue soundtrack, I forgot to add explanation this time.
Having trouble getting the executable file to work. Great project
@ZenoRogue
3 жыл бұрын
Thanks! Some people say that enabling the Vista compatibility mode helps.
This would have broken Lovecraft.
KZread?? What???