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why can't they just have hide/show all walls? I can't place art on inside walls because they are hidden. The more technology does things automatically, the more the world sucks. Not just sims, but the irl world in general. Automation is bs. let me decide wtf i want.

Very interesting, thank you!

In non-Euclidean geometry, curved lines are straight, spheres are 2 dimensional, and nothing can actually exist in reality.

Back in the 90s the game Descent 2 had a level editor where you just connected stretched cubes to each other. With a bit of fiddling I found out that you can stretch to cubes through each other and only one would render depending on the directions that you entered from. This let me design a whole level of non-euclidean geometry without any teleports or changes in distances. There was no limit to the number of things that you could overlap. Portals are just a literal doorway where the inside of the doorway connects to something that you can't see otherwise. As far as I know they didn't really use that in the core game but it was a really elegant solution.

well actually Minecraft uses Both the second one For Structures like Strongholds or Villages also nether Fortresses Bastions and End Citys

All FPS have a wrong (distorted) perspective, even today games too.

I'm way too dumb to understand what's going on here dammit brain

Awesome explanation

If you are a sailor crossing the Atlantic, you want to take the 'great circle route'....not a straight line. 🙂 The shortest distance between two points, A and B, is typically a straight line in Euclidean geometry. However, there are several contexts and scenarios where the shortest path is not a straight line: 1. **Non-Euclidean Geometry**: In curved spaces, such as on the surface of a sphere (spherical geometry) or in the presence of massive objects (general relativity), the shortest path between two points is a geodesic, not a straight line. For example, on the Earth's surface, the shortest path between two points is a segment of a great circle. 2. **Obstacles**: In the presence of obstacles, the shortest path cannot be a straight line if the straight line intersects the obstacles. In such cases, the shortest path might involve navigating around the obstacles. 3. **Different Metrics**: In spaces with different distance metrics, such as the Manhattan distance (L1 norm) used in grid-like city layouts, the shortest path is not a straight line but rather a series of horizontal and vertical segments. 4. **Cost Functions**: When considering paths with varying costs (e.g., time, energy, or difficulty), the shortest path in terms of distance might not be the optimal path. The optimal path could be longer in distance but shorter in cost. 5. **Anisotropic Media**: In materials or media where the speed of travel varies in different directions (anisotropic media), the shortest time path (or path of least resistance) may not be a straight line. This is often the case in optics, where light bends when it enters materials with different refractive indices (Snell's law). 6. **Graph Theory**: In graph theory, the shortest path between two nodes in a weighted graph (where edges have different weights) may not correspond to the direct edge connecting the nodes, especially if the graph is not complete or if the direct edge has a higher weight. These scenarios illustrate that the concept of the shortest path can vary significantly depending on the context and the constraints involved.

Superliminal is basically "Father Ted's 'Small vs Far Away' Discourse: The Game"

Well, finally I've watched it. Great video.

It is a cool video. But two points on a sphere and the shortest path between them...I don't understand how that can be a curve. That surely is a straight line.

Probably the best non-Euclidean game I have played is "Tea For God", for the Oculus Quest. It uses non-Euclidean geometry to make a small space seem very large, so you can go on a walk covering a great distance, even if you don't have a large room in real life to play in.

The teleportation trick is also throughout the “myhouse.wad” for doom. It bends your perception of not only reality, but also what you is known about the doom engine. I wonder which came first.

Omg Ace of Clubs is EXACTLY like the gameboy game “Monster House” Or at least the room format, so crazy lmao

THIS WIL MAKE MANY UNCOMFORTABLE HERE IT IS. No Straight Lines Exist in Nature Straight Lines Are The Problem GOD CREATED A WOMAN WITH CURVES NOT STRAIGHT LINES Most Men Would Not Prefer A woman With No Curves So GOD or The Creator Used Curves Not Straight Lines MASTER GEOMETRY Actual Geometry No euclidean FAKE GARBAGE COLLAGE EMPTY BRAIN BOTTLE FILLING TO TEACH NON-SENSE AND CALL IT A DEGREE MOSTLY EVEN WORST IT COST WHAT IT SOULD NOT . Certain Groups Do Not Want Us or You To Know Pure Truth.

Very informative and well explained. Thank you!

area 1: 420 area 2: 69 noice

Formula at 11:25 should have a 2 in front of arctan.

There's my patent application for games on a torus and a Klein bottle. Somehow USPTO refised to accept it.

Shouldn't the formula for the angular diameter be arcsin instead of arctan?

The curve shown at @2:59 is NOT a geodesic.

Just watched non-euclidean DOOM, and this was the next suggested video.

Marathon 2 had a level titled 5D space in 1995. You can still see a clip of it at 9WxeeiqWrn4

Non what?

The shortest distance on a sphere is literally a straight line though

I'm a newbie game dev and just teleporting the player to an identical hallway is such a stupidly simple solution that I never would have thought to do. Honestly respect to the anti chamber dev

You, indeed, didn't draw the shortest path between those two points in that sphere...

Been thinking about this, recently, and I'd THOUGHT I'd figured it out... except I had never even thought about the issue 2:58. Oh well, I was ALMOST there... great video!

Actually no matter how you bend a paper, it's surface will always be Euclidean.

Thank you for this! first 3 minutes and I've already learnt something new

Most procedural world generation has no concept of erosion or impacts. Let alone ecological or social activity.

Non Euclidean geometry killed my eyes from stimulation

Wtf is non-Euclidian about a teleport-trick? Lame; I'm out...bye

What is truly baffling is that there are people who expect video games to follow the laws of nature. 🤦It's a VIDEO GAME. They are just PICTURES ON A SCREEN.

Best explaination video

Was the anti chamber part a JoJo reference?

9:44 "Argumented reality sandbox" - This looks nice. Aside from that: Nice video, thank you for producing and sharing. : )

Amazing video, I'm going to have to try these games out.

kind of misleading - half of this is about geometry but the real trick is teleportation and stencil buffers (filtering which objects get rendered). If the words "non-euclidean" could count as clickbait, this is it.

12:21 Could you make some kind of if statement and "isGoingInReverse" bool that you would negate when locally going backwards on each individual object, so that you'd only GLOBALLY record object movement if objects isGoingInReverse=false? Aka, to only record local movement in global movement if the local movement ISNT going in rerverse somehow? Great videos btw, I'm learning a lot here! Thank you ;D

i want c# script for fourced prespective

Neat

SuperLiminal really made me doubt if I was awake when I got to that ‘final boss’ puzzle area where there’s 2 roads, one’s blocked off with stop signs, and the other is a door that lead to a identical room. I kept on turning into the blocked off path, I didn’t pay attention to that green exit sign at all (weirdly), and if I chose a path, like right right left right, the blocked off paths would be in that same order. It’s ridiculous I have to fool myself to try to get into the path with the door

In the vertex shader, prior to sending data to the gpu, nonEuclidean geometries can be hardcoded instead - it’s math that’s beyond my understanding, but it would be more accurate that just replacing walls of surfaces: Curvilinear space is still Affine space, so there is still a coordinate system to perform jacobian transformations. I guess that would suggest Non-Euclidean space could refer to spaces that don’t need a coordinate system (scratching my head: I’ve never studied that before)- but that would still typically result in a manifold, for which, you would have to rely heavily on neighborhoods and differentiability to render them.

Throughout the 90's it was common for many RPGs to have an overworld, a sort of miniature map your character walked around that had towns and mountains and such at a size relative to the character that of a small building or shed, when entering them it teleported you to a larger cityscape map, and likewise when you entered a building it was often much bigger on the inside. Many overworlds would also have random encounters that would have you transition into a battle screen or battle map in some games. Overworlds like this became less and less common as more seamless open worlds became more common. but this came at the cost of travel times being longer and the worlds seemingly more empty, as you could travel faster with an overworld mechanic. Fast Travel mechanics were added to mitigate this, but most of them don't have random encounters and you will miss out on exploration in the process. Using forced perspective mechanics to literally make cities shrink as you leave them and mountains grow as you approach them, a battlefield stretch out as you encounter enemy armies or other random encounters and the like. It may be possible to merge the concept of an overworld with an open world for the best of both worlds. Make the distance between cities less than the distance from one end of a city to the other without making it look like that's the case. This could also be used for planets, space stations, and ships, either at sea or in space. If you are playing a game with fighters you don't want them to move too fast or dogfighting becomes more difficult than fun, but you also don't want to make the big ships too slow if you want them to be playable as well or else playing on them will become boring for travel. Travel Speeds that are super fast but prevent you from engaging in combat is the traditional solution to this. Whereas I like the idea of making the planets, space stations and big ships bigger or smaller as you approach them as, ironically, a more free form and sandbox solution. That way you can more easily intercept enemy fleets and the disconnect between combat and travel is mitigated. You might even allow fighters to "orbit" around capital ships so that they can treat the ship as being stationary once they get close enough. Allowing ships to still be pretty fast but fighters still have a massive maneuverability and speed advantage against capital ships.

The first time start to understand what leetcode questions are doing, though has been doing those questions for more than 1 year

What up bro

Weak video.

The problem with these games is that they are euclidean with noneuclidean illusions, give me a game thats engine is non euclidean pls