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Sources and footnotes:
Professor Schwartz’s paper treating the penrose kite, shown in the video:
Dr. Lael Edwards-Costa’s Interactive Demo:
His paper on outer length billiards, a variation of the rules discussed in the video:
His blog post about Outer Billiards which inspired this video:
[1] Tabachnikov (1995), establishing self-similar structure of outer billiards on the regular pentagon:
[2] Hughes (2014), on the behavior of regular polygonal tables:
Hughes also provides this website with many beautiful pictures of billiards maps on the regular polygons:
This video was inspired by David J. Romano. He’s got something cool in the works for y’all in a few months…!
Check him out:
If you liked this, please support me on Patreon!
Check out 6884’s other music here!
Or support him on Kofi:
This video was animated using SwapTube!
source
Thank you for featuring a topic so near and dear to my heart! It was great to see this project come together.
Descubrí que le tengo fobia a los fractales
8:17 pareidolia in hyperbolic space? where have i seen this before…
Imagine showing this to a humble farmer back in the Middle Ages
Tried to play pool… instructions unclear…. ened up in the 4th dimension
Geoffrey… Break out Lucille
So am I solids or stripes?
This quickly became cosmic horror
I don't even know whats happening but this is one of the most interesting videos I've ever seen
what the hell dude, there are kids on this app
this was super damnnnnnnnnnnn awesome lawl wicked stuff ehehehehe yayyyyy smile:))) nice
The visualisations at 5:00 are so, so beautiful.
The beginning just made me wish for irl pool tables in irregular shapes. Would make it a whole lot more interesting
Different locales would have different shapes of table to master
The audio isn't balanced very well. Your sound effects are drowning out your voice. Your voice needs to be slightly louder than your sound effects. It's hard to focus on what you're saying.
Donald Duck taught me this when i was but a child 🥱
0:49 i see 3d
GUYS ITS WATCHABLE IN 2160P ITS SO GOOD
am i on crack
Think I made a wrong turn somewhere. Not sure how I ended up here 😅
This is still a connect four channel, right… right?
impressive how YouTube algorithm knew I was high
5 mins in and I’m still stuck on “outer billiards” wym bro that’s not how you play billiards
My phone can barely handle playing some of this video
What?
I finally know how it feels to not believe in something i dont understand
140 vibes
Okay, but what does it mean?
blew my mind so hard i started laughing 8 minutes in at how beautiful it was. videos like this make me feel like everythings going to be okay. it feels like accessing youtube content from the year 2349
am i on acid?
Never knew my DMT trips were based on billard
dont watch this while peaking
I'm too high for this
that's not billiards that's dmt
We should send this to outer space
i think jax was playing outer billiards in her bedroom that one time
HyperBALLic plane
I know there’s a lot of comments about billiards. But seriously this is incredible. To me this felt like a one to one on how math and the universe connect, everything is math, everything is beautiful, there’s definitely something great behind existence, I felt like I could see how it explains atoms and molecules splitting, gravity and planets. And maybe even lack of existence.
now why would you do that
Lo de añadir un vértice extra no lo terminé de entender xd, pero que chulo
I am definitely not smart enough to be watching this video.
hg*holy sdhit wtf
*xf