Portals to Non-Euclidean Geometries

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!

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

An interactive version of this scene should be added to RogueViz soon. We need to make it work in VR first!

[SpookyTimestamps]

Can I just say how much I appreciate you saying "okay enough, you might need some rest in the euclidian world" at the exact right moment? That's very considerate.

[beanbag]

I feel like I'm being taught a preschool class by a 5th dimensional entity

[RaulAguilar-kh]

This is like the tutorial level I should not skip before getting into multiverse

[trankked]

This simulation would make a terrifying horror game

[sungvin]

It felt so good to be in Euclidian geometry again after those crazy pesky pentagons

[JJ]

The best part of this video is every zone having its own music like mario

[LowestofheDead]

This video is the definition of 'Never let them know your next move'. She could say "In the next geometry, all squares are your mom" and I'd believe her

[elikopokopo]

its amazing how the nonchalant music turns a bad trip into a nice afternoon stroll

[maya_gameworks]

I'm actually amazed at the fact that I can more or less understand what is happening. Demos like these not only move science forward, but move societies forward.

[davidh]

For anyone who didn't know, the purple pillar in the solv geometry (6:43) is the ceiling.

[RaethFennec]

I'd love to see a feature where you can throw a ball. The inertia and speed could always be consistent so we could check how the trajectory and visual matches our expectations.

[blurqeqoherds]

I can finally understand why Lovecraft was so unnerved by architecture using non-Euclidean geometry now. Phenomenal stuff!

[robertkerr]

My brain exploded when she showed us that all the pentagons had right angles

[piedpiper]

I once read a Warhammer 40k book were they talked about seeing shapes with angles that didn't add up, and I could never really visualize what that meant.
I get it now.

[gatertod]

“For your convenience we have equip you with jet packs” 😂😂😂💀

[mrln]

This got me thinking about H P Lovecraft and his descriptions of strange geometry's but he never had the chance to see anything like this.
Adding monsters also obeying weird geometry would be terrifying.

[spacelover]

The holonomy effect mentioned in the description is on 1:43, the camera just moves up, down, left, and right but after returning to the first angle the surface that was a floor becomes a wall

[Neuro_nActivation]

"these edibles aint sh-"
3 seconds later

[phillpauley]

There needs to be a VR laser tag game made with this. That'd be trippy!

[Gandhi_Physique]

This video felt like it was 3 hours long and 15 seconds long at the same time.