[360° VR] Portals to Non-Euclidean Geometries
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- Опубликовано: 6 янв 2024
- This is a 360° VR version of our earlier video: • Portals to Non-Euclide...
On this tour, portals will take us to various non-Euclidean geometries. This is not Minecraft!
A cool holonomy effect happened during this tour, but it was not explained by our guide Tehora! Have you found it? Please tell us in the comments!
Tehora Rogue's channel: / @tehorarogue786
Visited geometries:
* Three-dimensional Euclidean space 𝔼³ (cyan floors, music: Icy Land by Shawn Parrotee)
* Product space ℍ²×ℝ (green floors, music: Living Caves by Shawn Parrotee)
* Three-dimensional hyperbolic space ℍ³ (yellow floors, music: R'Lyeh by Shawn Parrotte)
* Product space 𝕊²×ℝ (blue floors, music: Ocean by Will Savino)
* Three-dimensional spherical space 𝕊³ (purple floors, music: Land of Eternal Motion by Shawn Parrotte)
* Solv (brownish floors, music: Lost Mountain by Lincoln Domina)
HyperRogue soundtrack under the Creative Commons BY-SA 3.0 license
Link to RogueViz: zenorogue.itch.io/rogueviz
To learn more about non-Euclidean geometry, play HyperRogue or visit our discord: / discord 
Наука
I just went through this tour on my VR headset. I have to say, THAT WAS A UNIQUE EXPERIENCE TO SAY THE LEAST! And then to have the chance to download a VR app to play a game and explore this craziness, this really is truly amazing. It's a no brainer to donate to this channel.
Even without VR it's super trippy.
Literally discovered this channel through the original video yesterday and now you release this, very nice
I thought this video couldnt get more awesome
Initially I was confused about how this was different from the original. Then I clicked on the screen and found that I could rotate it any amount I wanted to.
Also it has separate views for left and right eye, so if you have appropriate equipment, you can view this in 3D. (Should work e.g. on an Android phone + Google cardboard or similar cheap mobile VR; or on a computer with VR hardware and a RUclips app; or maybe even with red-cyan googles.)
Getting to see these geometries from new angle was really a treat.
Holy crap THIS IS COOOOOL! Im gonna throw on my headset and see how this goes.
THANK YOU ! ! ! ! You're genius.
Hurray, that was so cool! I really appreciate it!
New video, I'm so impressed as always!
Cool and amazing!
👍. Holonomy at 1:42 - 1:56?
Exactly
You have a relaxing voice that goes well with the video and music.
yOOO, this is awesome; i love the added layer of interactivity. make brain hurt good 😗🤌🔥 me very like, thank you.
Good video and do you know 3d sound
Oh nice ❤
This is crazy, Euclidian geometry makes no sense.
Also, this was a great video!
Compared to hyperbolic and elliptic geometries, euclidean is degenerate in the following sense: there are similarity transformations that aren’t isometries. That is, every similarity transformation (that leaves angles intact) is also an isometry (that leaves distances intact) in hyperbolic and spherical geometries, but there are scaling transformations in the euclidean world.
So, in euclidean geometry there are no natural unit of length. This added freedom of transformations ultimately stems from us setting the curvature to exactly zero. I don’t remember how exactly it happens though.
I want to live there forever. But I might need some help constructing my house.
Yo you gained a sub
How it feels when you leave the Euclidean areas of the backrooms.
I now understand the geometry to the sunken city of R'yleh
They finally did it
😮
Hi!
I watched this in VR, in Solv the motion sickness is huge I felt as if standing before a divine entity.
I wonder how we can take your research and build a library for the voxel game engine minetest.
What does a 5/7 dimensional sphere look like?
I wonder what S*E*H would look like, with 1 spherical dimension, 1 Hyperbolic, and 1 Euclidean. Would really like to see that!
Geometry specifies how two dimensions interact.
so S1, E1 and H1 is the same thing. And x means that the dimension between components do not interact (i.e., in Euclidean way), so you just get Euclidean space.
Question at 3:02:
Why when I go through this face of the portal, the camera automatically turns a 180º (225º in the hyperbolic world) all like I can’t go in? Is there an error or something?
Sounds like some bug, yes. But I have no idea what causes that (I have tested it just now and it works correctly for me). Is it in VR or flat screen? You could try pressing o o m 1 to teleport to the hyperbolic world.
@@ZenoRogue flat world no VR, I did’t test the VR mode
Update:
For the opposite side at 3:17, the same happens by going backwards
zeno, noneuclidean portals demo restricts me to the current geometry
In what way?
@@ZenoRogue its teleporting me back to the current geometry, when i go thru a portal it flips me and teleports me back to current geometry, example: if i want to go from H3 to H2 Bring, it will flip me 180 degrees and teleport me back to H3
@@ZenoRogue second notification incase you accidentally close first one :D