As both a Touhou fan and a math lover, this video is a very nice watch. Thanks for this video

So extraordinarily clever! There was a lot I didn't get, but I jumped when you explained that an object in the plane is a "hole" -- of course! -- and I could see how the trick of adding a line from object to boundary worked. Thank you for sharing this!

At this point i think that Zeno already broke the chains of being an Euclidean entity and transformed into something hyperbolical. Incredible work.

I was wondering which projection you were using and how it was mapped to the regions. And I was wondering how you got continuity between frames when a small change can lead to an isometry with the tiling completely differently leading to flickering. This was well explained and many other things that you had to solve that was also interesting to learn about. Thanks for the video and this explanation video! I would have liked a higher resolution than 360p though. For my original watching on my phone it worked but for the rewatching, even the drive version is suffering from the resolution limitation. But a 1080p+ version might be really slow to render.

I had to lower the volume when bad apple music hit, and higher it when talking came back Please, stay consistent with the audio volume

This channel is a gold mine. Seeing Touhou is the cherry on top

Wow it so amazing! Great explanation and You've done such great job making 2023 better

Neat.

I would consider that a good present! Thank you for the explanation

Math people scare me, am I being educated or inducted into cult magics?

@CrashTuvai

Жыл бұрын

"educated OR inducted": That's not an EXCLUSIVE "or"

@TheAgamemnon911

Жыл бұрын

Yes.

@fluxite1642

Жыл бұрын

Shush and join us

Legend!

Wow, fantastic! Glad that I stumbled onto your channel!

Hyper apple

the gamedev mathematical extraordinaire returns

Its now even more awesome than before

Would this mean bubbles are on a hyperbolic plane thing?

3:20 haha, I was wondering on the original video, when the 4k resolution will kick in :D But I guess you would fry your pc :D Edit 7:10 :D I was off by a few orders of magnitude :P

Pani lektor zdecydowanie z Polski.

could you do this on mandelbrot set?

@jirikyslinger9573

10 ай бұрын

i mean the picture of it

@ZenoRogue

10 ай бұрын

Sure, it can be done. In Vladimir Bulatov's presentation "Conformal Models of the Hyperbolic Geometry" there is a slide where a hyperbolic tessellation is mapped to the outside of Julia set.

now I like math...

Hi there, how can we program a hexaflexagon? I know it's a Mobius strip with 3 half-twist but this still doesn't properly map when using standard parametric equations. The plats and hexagonal structure elude me so.

How Polish people approach anime:

You sound like bmo from adventure time

can you try? H2XS?

@ZenoRogue

Жыл бұрын

H2xS1 is the same geometry as H2xR.

@omegagoncorporation3017

Жыл бұрын

@@ZenoRogue is there a video on what it looks like?

@omegagoncorporation3017

Жыл бұрын

@@ZenoRogue what about S2XH?

@ZenoRogue

Жыл бұрын

@@omegagoncorporation3017 H1 is the same thing as R1, so S2xH1 is the same thing as S2xR1.