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▲A Topological Picture Book, Renderede-infinity.space
114 points by mathgenius 13 hours ago | 12 comments
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e-infinityspace 6 hours ago [-]
This is my project — thanks for the interest. I just made it more mobile / small device friendly.

The app is primarily based on ideas of Hertzmann and Zorin in [this paper](https://cims.nyu.edu/gcl/papers/hertzmann2000iss.pdf), using directions of principal curvature for hatching directions.

tobytylam 1 minutes ago [-]
Very cool, I made a very primitize plotter before that let you draw on the UV plane and project curves onto the surface (helpful for fundamental groups) / included a time parameter for homotopies. If you're looking for feature ideas I think those would be great! https://tobylam.xyz/3d-plotter
nxpnsv 6 hours ago [-]
Pretty, and a lot of fun to tweak around the parameters.
sevensor 11 hours ago [-]
I was an undergraduate student of George's many years ago and it's an absolute delight to see these renderings. He used to doodle them on any available surface -- blackboards, notebook paper, napkins, what have you -- often with a fountain pen. He was also big into using computers for visualization and had a number of programs that ran in the CAVE.
jjtheblunt 10 hours ago [-]
I was a grad student of him, all you describe resonates, and i still stay in touch nearing 40 years later. some of the happiest most fun stuff in grad school, and there were endless nerdy fun pursuits. i'm so grateful i learned under him. it was incredible to see him drawing.
sheept 8 hours ago [-]
In addition to making the sidebar dismissable on small screens, it'd be nice to add touch-action: none to the canvas so rotating the object doesn't get interpreted as a scroll on touchscreens.

Right now, at least in Android Chrome, dragging to rotate only works briefly before it's interrupted.

ekzhang 11 hours ago [-]
The spacing and style of the hand sketched lines are really perfect. Was it hard get such clean drawings, even using principal curvature fields?
fogleman 11 hours ago [-]
Very nice. I've been inspired by the same sources and have always wanted a way to render such drawings for any arbitrary 3D model (e.g. STL file). I've played around with that quite a bit, even recently with LLM assistance, but haven't yet gotten it as good as I want. Eventually...!
medwards666 4 hours ago [-]
Absolutely beautiful.
gotfork 10 hours ago [-]
This is awesome, what an incredible project!
ks2048 11 hours ago [-]
Is there a way to hide the menu on mobile? The few pixels I can see do look pretty cool.
boguscoder 10 hours ago [-]
Going landscape seems to be a bit better..