- 34
- 64 583
jade12 Studio
Приєднався 18 бер 2019
Touching Circles
Inspired by: projecteuler.net/problem=894
See also: en.wikipedia.org/wiki/Doyle_spiral
All Good In The Wood by Audionautix is licensed under a Creative Commons Attribution 4.0 license. creativecommons.org/licenses/by/4.0/
Artist: audionautix.com/
See also: en.wikipedia.org/wiki/Doyle_spiral
All Good In The Wood by Audionautix is licensed under a Creative Commons Attribution 4.0 license. creativecommons.org/licenses/by/4.0/
Artist: audionautix.com/
Переглядів: 479
Відео
Sudanese Möbius Strip
Переглядів 6 тис.5 місяців тому
Sudanese Möbius strip is a Möbius strip embedded in the hypersphere as a minimal surface with a great circle as its boundary. It is named after Sue Goodman and Daniel Asimov, who discovered it in the 1970s. References: * A Topological Picturebook by George K. Francis * en.wikipedia.org/wiki/Möbius_strip * The Klein Bottle:Variations on a Theme by Gregorio Franzoni, Notices of the AMS Volume 59 ...
Sphere Eversion: de Neve/Hills
Переглядів 11 тис.7 місяців тому
This method was originally discovered by Erik de Neve in 1997. Later Chris Hills improved and visualized it in 2016. References: ua-cam.com/video/FL4JoWlVj98/v-deo.html chrishills.org.uk/ChrisHills/sphereeversion/usefuldreams.org/sphereev.htm usefuldreams.org/sphereev.htm
Sphere Eversion: Hacon's Half Torus
Переглядів 7 тис.7 місяців тому
This method was discovered by Derek Hacon in mid-1970s(?). A sphere, when "folded", can be viewed as a half torus with two half spheres. References: Circle Deformation in Hacon’s Sphere Eversion by Yongheng Zhang: archive.bridgesmathart.org/2021/bridges2021-265.pdf Mathologer's video: ua-cam.com/video/ixduANVe0gg/v-deo.html Hacon's notes: www.math.utah.edu/~hacon/sphereeversion.pdf
Torus Eversion: Klein Bottles
Переглядів 5 тис.8 місяців тому
Torus eversion with two klein bottles. Invented by Derek Hacon around mid 1970s(?) References: Derek Hacon's notes: www.math.utah.edu/~hacon/sphereeversion.pdf Circle Deformation in Hacon’s Sphere Eversion by Yongheng Zhang: archive.bridgesmathart.org/2021/bridges2021-265.pdf Mathologer's video: ua-cam.com/video/ixduANVe0gg/v-deo.html Animation by Arnaud Chéritat: ua-cam.com/video/kQcy5DvpvlM/v...
Sphere Eversion: Morin Surface
Переглядів 3 тис.8 місяців тому
Sphere eversion, using Morin surface as a half-way model. This is created in a similar way to The Optiverse (n=4), but using a conformal flow. This way the mesh is not altered during the entire process, which allows (easily) tracking and visualizing a specific slice. See also: sphere eversion using Boy's surface ua-cam.com/video/9kCFLX4Bdd8/v-deo.html References: The Optiverse: ua-cam.com/video...
Sphere Eversion: Boy's Surface
Переглядів 2,4 тис.8 місяців тому
Sphere eversion, using Boy's surface as a half-way model. This is created in a similar way to The Optiverse (n=3), but using a conformal flow. This way the mesh is not altered during the entire process, which allows (easily) tracking and visualizing a specific slice. See also: sphere eversion using Morin surface ua-cam.com/video/1vko02a1g-o/v-deo.html References: The Optiverse: ua-cam.com/video...
Sphere Eversion: Ruled Surface
Переглядів 4,5 тис.8 місяців тому
Sphere eversion with a ruled surface. In the intermediate stage, the surface is very similar to half-way model with a Boy's surface. Reference: Analytic sphere eversion using ruled surfaces arxiv.org/abs/1711.10466 More about the sphere eversion problem and the method called "Thurston's corrugations": Outside In: ua-cam.com/video/sKqt6e7EcCs/v-deo.html More about Boy's surface: ua-cam.com/video...
Boy's Surface
Переглядів 1,9 тис.8 місяців тому
Boy's surface is an immersion of the real projective plane in 3-dimensional space found by Werner Boy in 1901. en.wikipedia.org/wiki/Boy's_surface
Sphere Eversion: Thurston's Corrugations
Переглядів 20 тис.9 місяців тому
Recreating animations in ua-cam.com/video/sKqt6e7EcCs/v-deo.html Made with geometry nodes in Blender, using a slightly simplified version of mathIsART's port: github.com/etale-cohomology/evert-cuda My notes: blog.wang-lu.com/2023/10/code-study-notes-sphere-eversion.html
Infinite Bezier
Переглядів 301Рік тому
Source: codepen.io/coolwanglu/full/ExEGWgN BGM - dryhope - Gravity - Provided by Lofi Records - Watch: ua-cam.com/video/kFYtiExJ9ks/v-deo.html - Download/Stream: fanlink.to/kenopsiaEP
Did anyone make a movie about this yet?
I think thee should be a genre of liminal spaces but like liminal videos.
*Vietnam flashbacks*
can someone make a remix of this song
Is nobody gonna mention the fact that in the side view it looks like Thanos snapping his fingers?
The sphere can be outside in *IF* only the material can be allowed in sharp bends not tearing the material
This is probably the easiest eversion to visualize!
everyone’s saying it’s being bent sharply but I think it’s just an optical thing. Can someone point out a timestamp where it’s sharply bent?
0:46 cool wallpaper
a banger pulled up 🗣🔥
you forgot to make it yellow and purple
CAREFUL WHAT ABOUT THAT RING ON THE EQUATOR 🗣🗣🗣🗣💯💯💯💯🔥🔥🥶🥶
"That wasn't easy to follow, was it?"
No, this feels more like sorcery and cheating than the other ones... I could have sworn there was some cutting and pasting done behind the scenes when the parts overlapped each other Hacon's Half-Torus and Thurston's Corrugations were very simple and elegant in comparison to this... witchcraft
In a way, if a sphere can be inversed, its "already inversed". Idk if that makes sense
I find this concept fascinating. It’s really unfortunate every video about eversion is littered with the same 4 shitty jokes/references to some parody video
Fun fact, according to all laws of topology, turning a sphere outside in is really easy, since you pull the inside out Because the material in topology can pass through itself.
Loki reference
Lets see that again
You cannot crease it or bend it sharply.
Does this minimize (to whatever approximation) the Willmore energy the whole way through?
Roughly speaking, yes. But my implementation is overly simplified. And it was optimized for "smooth animation" rather than "strictly decreasing Willmore energy"
"Stop! You're pinching it infinitely tight!" *what bro was trying to do:*
Teacher: The test isn’t that hard
daow ☺️ deow…wwww 🧐 DEOWWW 😃 (wwuuuuu) 😞 don 😐 dom 🤨 doww 🧐 deoww 🤔 deow 🙂 deow 😌 deow ☺️ DEOOWWWWWWW 😵💫DEOWWWW 🫠 DEOWWWW 😊
It sounds exactly how it would in my imagination, lol
…Is this it? Is this a sphere turning inside out?
Outside in, the sequel
These shrooms aren’t shit The shrooms:
you played the game!
I must not crease it, for creasing is the mind killer
I DONT FUCKING CARE
Смотрел. Много думал. Не покидает чувство, что меня обманули.🤔
THIS ISNT WHAT A BROTHER AND SISTER IS SUPPOSED TO DO
the founfing titan in topology be like
i'm sorry but this is utterly incomprehensible
🎶 got to make a ticket purchase if you want to get on that boy's surface 🎶
They should make a sphere eversion game where you can rotate the sphere, grab the surface and push it around and change the opacity. I think part of the reason it's so unintuitive is that we have no experience with stretchy surfaces that pass through themselves.
Ever wonder why mom and dad have the same surname?
...because they married???
what programm did you use? looks amazing
Blender
WITCH
i like the music
More like thurston's octopus
AF2 final boss if it was good 🤯
What font did you use?
Try to fill with water and see how the fluid dynamics and gravity bending the space-curvature. Watch the magic happen
I can just barely wrap my head around what’s going on. It’s basically the torus inverse just applies repeatedly to the walls of the sphere after extending it into a cylinder.
This shit goes crazy hard!!!! 🔥💯🔥
Shouts out to my homie Lu Wang 2023 for his Sphere Eversion: Thurston's Corrugations. Lu Wang 2023 was always fucking around throwing tennis shoes over power lines and playing in the god damn road, so it's nice to see him doing something productive for a change.
I have no idea what I'm looking at
You're creasing the sphe- wait, that's new. Wait what?
Yes... Sundanese mobius trip