Non-Euclidean Geometry Explained - Hyperbolica Devlog #1

When you stop paying attention in calculus for 3 seconds

"Honey, can you knit me some non-euclidean planes?"

can you just imagine beings of 4D using our 3D to explain 5D

CodeParade: "Stay Hyperbolic" Me: proceeds to occupy the entire volume of the universe

"So I hope that's given all of you a little better understanding of curved spaces..." ...he says as the last remnants of my brain leak out of my ear.

"But first we have to talk about parallel universes" nice.

Now I understand the lovecraftian horror of non-euclidean geometry better now. If it's this confusing to us, imagine what geometry would be like for an eldritch horror.

“Hyperbolic crochet” Come on in, sir. That’s the right password.

I feel like I just gained 100 braincells but lost 300 points psychic damage.

whoa, that's crazy that you can figure out the areas of triangles just by knowing its angles. It feels like there's something missing in the formula but there's not!

Hey CodeParade! That knitting of the hyperbolic plane was really amazing. The first one with the squares is very unique and I haven’t been able to find it anywhere on the internet. So I’ve been making my own with a large piece of fabric cutting it into squares and drawing the black outline then stitching them together. I’m 12. Your video has really inspired me to look into hyperbolic geometry more. Thanks CodeParade. Hope this comment doesn’t get buried.

'isnt that neat?' while talking about non euclidean formulas almost made me tear up. This man's gentle, genuine enthusiasm really is so endearing and lovely. Thanks for this vid, can't wait to check out more.

"Hey honey, do you think you could knitt me a projection of a hyperbolic tiling in 3D?"

Oooh! Holonomy is the reason why, when rotating a 3D object with a mouse, the orientation quickly gets messed up, isn't it? That would explain why my trick of moving the mouse in small circles clockwise or counter-clockwise works, too.

Bro the "First I'll have to talk about parallel universes" had me DEAD LMAO. Shoutouts to pannenkoek2012!

This game caught my attention because I was frantically looking for a non-euclidian game that I can play in VR. It really was one of a kind experience. The farm was most mind boggling and the best part in my opinion (which, now I see from the thumbnails for your other videos, was actually spherical space). Such concepts like non-euclidean spaces are hard to grasp because they are inherently abstract. Making a game around them is really a good way for people to "experience" it and make them less abstract. It was especially a treat in VR. Thanks for making this game.

Greenland looks like it's about the size of Africa, but in reality it's about the size of Greenland -Map Men

“All the angles are 0 and the area is pi.” As someone who loves geometry, this statement really through me off.

If you want to use HyperRogue to explore the hyperbolic tiling used in this video (5 squares meeting at each vertex, first seen at 4:59), here's the sequence of menu options to do so: main menu -> special modes -> experiment with geometry -> basic tiling -> {5,4} (four pentagons) -> go back -> variations -> pure -> dual of current.

The Mario joke was hilarious and probably the only thing I truly understood. Very interesting and challenging subject!