Bad Apple, but rendered with hyperbolic planes
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- Опубликовано: 25 дек 2022
- Our take on the famous Internet meme! "If something can display something, it will display Bad Apple. If it can't, people will make it display Bad Apple." -- LiterallySomeOne, [2]
By the Riemann Mapping Theorem, every simple-connected shape can be conformally mapped to a hyperbolic plane, and thus be used as a model* of hyperbolic geometry.
Made with newconformist: github.com/zenorogue/newconfo... (modified to allow animation)
Want to know more? Follow us and comment for a "making of" video! [3]
[1] original Bad Apple animation by Anira (uploaded to RUclips by kasidid2): • 【東方】Bad Apple!! ＰＶ【影絵】
[2] Bad Apple explained by Megapig9001: • Bad Apple Explained: H...
[3] The "making of" video is ready! • Making of: Bad Apple, ...
* rather a projection than a model... but people call them models, so let's call these "anime-girl models"
Download video without RUclips compression: (also fixes the missing frames at 0:41 and at the end, causing music desync)
drive.google.com/file/d/1TqZo...
#badapple #mathart #noneuclidean #mindbending #visualization #mathisbeautiful #mathgenius #mathisfun #mathisawesome #newconformist #conformal #hyperrogue #rogueviz 
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Finally, a Bad Apple rendition that I can share with my trypophobic friends!
What a HOLEsome ending to your search!
@@bagelnine9 and friendship
Hyperphobic
At first, I thought this was just another Bad Apple rendition, but then I noticed it is ZenoRogue, and thought “Ah, of course”
EXACTLY this lmfao xD
only our non-euclidean guy could do this as fun side-project
i completely forgot he existed lol
@@user-pr6ed3ri2k I was still active in other channels (updates to games, small animations to post on Twitter/Mathstodon) :) Great RUclips videos need help of TehoraRogue, and she is usually very busy recently.
My 3-years old daughter really likes this video, she calls it "music with bubbles".
if she discovers touhou project some years down the line, and through it she rediscovers bad apple, i hope she feels that same sensation many of us did as all the mysteries of the world unraveled themselves to reveal that it was all touhou project and it always has been.
Too late to explore the Earth-too early to explore the stars-right on time to explore how many ways we can render Bad Apple.
Awesome work!
also dubs and interpretations (context/style transfers) like [Bad Harmony Bad Apple MLP:FiM ]
+ too late to explore the universe
You can still explore the earth. Do it! Do not hesitate! You can set sail.
@@velyro4424 nahh we're still too early to explore universe, in fact we're only just started exploring mars yet!
Haha, love it!
It looks creepy to
The hyper dimensional hipe train yooooo code parede just found this jam after playing hyperbolica!
Objectively and hyperbolically the best rendition of Bad Apple ever
cant believe this is an official render by zenorogue himself
Because it takes two to make a video like this (;. Most of the weird videos in this channel start with my moaning "let's do it"...
...After one of my ideas that looked stupid at the first glance has led to a decent AI paper, Zeno reconsiders. In the case of this video, it took little time to convince him we want to do it (together with the later making-of video) (:.
Best application of the Riemann Mapping Theorem, I give it a sinh(10)/10
I noticed the straight "seams" with a neighbourhood that has infinite polygons. The number of seams is proportional to the genus. Although it looks weird, these cuts seem to be essential for the mapping theorem to apply. I know it's possible to make a (closed) Riemann surface a quotient of an isotropic space. Is there something similar for non-closed shapes with holes? That I have no idea.
For those curious, that's around 11000/10
I understood nothing but still found it cool af
@@columbus8myhw For those who want to be able to do this themselves: typing "sinh(n)" into google search will give you the answer.
I like how in programming this has become "it can run bad apple"
I used this as a reading light for D. E. Knuth’s “Surreal Numbers”.
There's a cool illusion of volume happening
Alternate title: bad apple but it triggers trypophobia.
I didn't think you could do this so smoothly. Fascinating
I’m genuinely SO interested to know what this actually is!
Hyperbolic planes tiled with hexagons and heptagons (an infinite amount of them), projected into shapes that make up the music video.
Or in other words: we take this complex mathematical shape, and squash it down, so it fits into the shapes in the animation.
Why?
I dunno
@@Adam-zt4cn Because we can.
@@Adam-zt4cn Squash it conformally, that is. Otherwise it’s probably very boring.
@@Adam-zt4cn This makes me wonder, since there are two shapes in Penrose tiles can we make it such that each shape is its own color and they still tile the frame with no gaps?
So rare to see such high quality rendition of bad apple
bad apple in the hyperbolic plane is not something i would ever thought would happen
More like hyperbolic planes in the bad apple!
Dude I just checked your other videos, how the hell are you so underrated?? Hopefully you get a ton of subs once this Bad Apple MV recreation hits the algorithm.
What a christmas present for your fans!! Would love to see how it's made!!!
in this rendition you can actualy tell depth :D
Awesome
I imagine it would look quite warped in an azimuthal projection, lol.
Oh, I realised how it works, it would just look like a bunch of separate tilings :P
never expected this, but i liked it
unexpected yet extremely welcomed video
This is true art.
walking on that plane would be crazy
Is this made by applying deformations and tansformations?
Or every frame is generated/recreated separately as an image?
The conformal mapping is unique modulo isometries of the hyperbolic plane. So the conformal mappings are generated separately for each frame, and then an isometry (to make the image in the new frame close to the previous frame) is found and applied.
They act like bubbles, it’s a very beautiful effect
New projection for Hyperrogue XD
The dislikes are from people who have Trypophobia
Bad apple but everything is made of soap bubbles
Why did this take an entire month to find its way into my feed? For shame, google.
New year for new bad Apple! It so awesome! Goodjob
This is givin me a little bit of tripophobia
I enjoyed that you inverted the colors to match the key change around 3:00
This is going to blow up. I love how they become like fractals near the black-white border.
it looks so touchable and round
Bad apple proyection
It reminds me of the foam in the bathroom. When you try to take it with your hand, and it shrinks in about the same way as the "honeycomb in the video".
This is so utterly strange yet mesmerizing
flies watching bad apple
Okay, this is insane. I just got back into Touhou and, as of yesterday, the Bad Apple stuff. Today, RUclips recommended to me your video of non-Euclidean space in a first-person simulation. I thought, "I should check out this channel." A couple vids later, I scroll down on your page, and WHAT.
BAD APPLE.
WTF.
YT algorithm is confirmed non-Euclidean.
bro realy played bad apple!! on a universe
Beautiful. This is the zenith of technology
Acceptable.
youtube video compression go brrrr
This would be an interesting sight to see in the International Journal of Mathematics.
condensed space apple
HAHAHA this is hilarious 😂 we need more high IQ shitposts
Algorithm do yo thang
I freaking love this!!!
Based
(The video's one measure/bar ahead out of sync by the way)
I want to see Touhou danmaku in non-Euclidean space too
Maybe Relative Hell is a thing, haven't checked it out too much yet :P
Apparently 30 frames at 0:41 did not render, causing desync. The Google Drive link in the description contains the fixed version.
this may trigger my trypophobia but this is very nice
You can add Touhou characters like Escher's Angels and Demons using the Touhou bestiary. I am not an expert of Touhou lore, so looking in the touhouwiki site I see four possibly useful classes:
1. Demon (mamono in Japanese).
2. Devil (akuma in Japanese).
3. Oni (that's already Japanese).
4. Angel (tenshi in Japanese).
Just a thought… maybe you will maybe you won't…
We can play HyperRogue on this when? :P
Also, I was just listening to this song like an hour ago.
omg, love this
this video is an alive thing
My eyes itch
This is amazing
Bees training to fight wasps:
they look like eyes and im frightened
RUclips compression loved this one. Can you upload an uncompressed one on a separate website?
Yeah, the video file was generated with compression (~170MB) but it looked fine, unfortunately RUclips offers only some 30MB recompression, not the file which was uploaded.
Added a Google Drive link to the description, hope it is good :) Making an uncompressed version or one in higher resolution would take some time.
my textures when i uv-unwrap unretopologized models:
Oil floating on the surface of ramen soup be like:
amazing.
The speakers have bubbles and they are angry
Trypophobia hell, lol.
Bad apple always fascinates me with how it’s able to very clearly depict 3 dimensions with completely flat 2 dimensional images. This takes it a step further though and displays the 2d 3d video in an even higher plane with non-euclidian geometry
You're a legend
honestly,niceee
show this to someone with trypophobia
Slight correction for the description: The animator is Anira, not kasidid2, he just reuploaded it to youtube
the ID for the original niconico upload is in the description of kasidid2's upload
Thanks! Fixed the description.
Why does it look like bubbles tho but still cool!
Anyone else here know what a hyperbolic plane is, but not what Bad Apple is?
I unironically couldn't imagine, at least not until now
Whatever, there's a video in the description about it. Go see
It's a music video. Simple as that EDIT: Dunno why I was being so dismissive
@@columbus8myhw Uhm, ackshuyalley, it's the sixth track in the soundtrack of the 1998 bullet hell video game Lotus Land Story, the fourth entry in the Touhou Project series created by Team Shanghai Alice, and what you're actually watching is a remix by Alstroemeria Records sung by Nomico and animated by Anira
(-□‿□-)
Its a touhou song (touhou project is a bullet hell video game series)
got any more of them pixels
Next do snakes on a plane, but the plane is replaced with a hyperbolic plane.
8k version needed
Biblically accurate bad apple
The music is off sync. It's about one measure behind the animation.
Indeed, IIRC some frames did not render for some unknown reason. The Google Drive link in the description fixes this.
looks like bunch of bubbles
momm the anime girls are made of exotic matter againn
why are some boundaries only horizontal/vertical but near null contrast areas? this smells like a bug in the code, otherwise they would also be diagonal. or do you have to split into semi-convex-hulls for this to work?
The regions are subdivided as follows:
(1) along the white/dark boundaries, of course
(2) the Riemann mapping theorem works only for simply connected shapes, so when a region has a hole, a region is cut along the shortest line from the hole to the outer boundary (newconformist has some tricks to deal with this, but they are quite limited and they would not create smooth animation due to not enough degrees of freedom)
(3) there are also some problems with long bridges -- basically it is not feasible to keep the animation smooth on both sides of such a bridge, so we have decided to cut such bridges -- such extra cuts go along horizontal and vertical lines
Does this answer your question?
@@ZenoRogue one more real to make all digital displays as equilateral triangles (besides all keyboards needing hexagonal keys), so that those shortest-bridges-orthogonal-to-the-border are not so dumb.
I have trypophobia and I click it.
I'm gonna play this in the background.
From Indonesia.
I thought I had trypophobia
Why is it in 360p
The original video [1] is in 360p, so we have just used that.
Running the embedding algorithm in higher resolution would require much more processing time, and video compression algorithms tend to destroy such details anyway.
Some renders of Bad Apple have much worse resolution but they are still recognizable, of course :)
Reply AAAAAAAAA if you have trypophobia
why only 360p man?!
Couldn't you have used a cyclic hyperbolic space when the topology changed, or does that not always work?
See the "Making of" video linked in the description. Generally it works with only one hole, only in special cases, and is harder to animate.
Metapple
people with trypophobia: 💀
Most coolest vide- Wait, why's the timing wrong?
Apparently 30 frames at 0:41 did not render, causing the music to desync. Cannot fix on RUclips, but the Google Drive link in the description contains the fixed version (also without RUclips compression, so cooler).
the music lates then the animation, can you please do version there won't be offset with music and animation?
There is a link in the description to a version which fixes this (also RUclips compression worsens the quality a lot, so this file avoids that too).
Something wrong with the video, resolution is too low to be watchable, its all artifacts
AAAAAAAAAAAAAAAAAAAAAAHHHHHHHHHHHHHH!!!!!!!
🤯😱💀
How long did this take to render?
We have not measured exactly, but about 6 hours (Intel(R) Core(TM) i7-9700K CPU @ 3.60GHz, 8 cores).
@@ZenoRogue Then why were you gone for *_SIX WHOLE MONTHS_* !?!?
@@Austinkeith2010 mostly family and professional issues. We had to succumb to evil like serious papers, conferences, and teaching duties... it's been long since we had some spare time to make something for fun.
@@tehorarogue786 ok thanks for telling me
@@tehorarogue786 If it's evil, you should try starting a revolution against it
Why is the resolution that low?
Trypophobia be like:
Are the white and black areas infinitely far from each other?
In some sense, yes. The closer the point is to the boundary of the shape, the further it is from the "center", and that hyperbolic distance actually tends to infinity as we get closer and closer to the boundary. I would rather interpret white and black areas as separate spaces rather than infinitely far from each other, but your interpretation is fine too.
Ugh idk this makes me feel gross and itchy.
Who tf desyncs Bad Apple and cuts it to a different frame? So unsatisfying.
Apparently 30 frames at 0:41 did not render for unknown reason. Cannot fix on RUclips, but the Google Drive link in the description contains the fixed version (also without RUclips compression, so more satisfying).
This reminds me of a beehive
Now I know for certain that you are a Touhou fan.
Can you say that to Gasman, an Englishman who changed the lyrics to describe the video?