Surface is halfway between the edge graphs of a pair of dual 5-cells Posted on 2022/01/12 by Carl Reply pic.twitter.com/mrKZXZNmzD— Daniel Piker (@KangarooPhysics) January 11, 2022 Yes, the surface is halfway* between the edge graphs of a pair of dual 5-cells.*defining halfway as shortest distance to each graph being equal doesn't give a smooth surface though, so instead here I've taken where the inverse cubed distances summed over each graph are equal.— Daniel Piker (@KangarooPhysics) January 12, 2022

Differential growth Posted on 2022/01/12 by Carl Reply I'm a total sucker for extruding time along an extra spatial dimension. I ran across a name for such visualizations in a biology paper: 𝑘𝑦𝑚𝑜𝑔𝑟𝑎𝑝ℎ𝑦. https://t.co/zYtWAG7x6f— χle Ormsby (@MotivicKyle) January 10, 2022

Penrose: Create beautiful diagrams just by typing mathematical notation in plain text Posted on 2022/01/12 by Carl Reply Penrose: Create beautiful diagrams just by typing mathematical notation in plain text 4/4 You can check out the code used for the video above here: https://t.co/RbNTQiDzIXThe whole system is open source, and (if you're brave!) you can run it yourself: https://t.co/186CdooyAfStill very much a work in progress… but well on its way!— Keenan Crane (@keenanisalive) January 11, 2022

Taking a screenshot 39 years ago Posted on 2022/01/12 by Carl Reply Taking a screenshot 39 years ago: pic.twitter.com/C4PWFpVqwM— Jon Erlichman (@JonErlichman) January 8, 2022

Tessellation-Free Displacement Mapping for Ray Tracing Posted on 2022/01/10 by Carl Reply Tessellation-Free Displacement Mapping for Ray Tracing With a displacement-centric acceleration structure built upon affine arithmetic, our new #SIGGRAPHAsia2021 paper, presented today by Théo Thonat, explains how to perform high-speed ray tracing, without tessellation. More info: https://t.co/hjRB1HGfAp @AdobeResearch @Substance3D pic.twitter.com/L0DJVsj3Zw— Tamy Boubekeur (@boubek) December 16, 2021

Repulsive Shape Optimization Posted on 2021/12/07 by Carl Reply Excited to share *two* papers appearing at #SIGGRAPHAsia2021, on "Repulsive Curves" and "Repulsive Surfaces."Tons of graphics algorithms find nice distributions of points by minimizing a "repulsive" energy.But what if you need to nicely distribute curves or surfaces? (1/14) pic.twitter.com/itflstybmJ— Keenan Crane (@keenanisalive) December 7, 2021

Implicit equation f(x,y)=0 of a triangle with arbitrary vertices Posted on 2021/12/07 by Carl Reply This is the implicit equation f(x,y)=0 of a triangle with arbitrary verts, that actually computes the exact Euclidean distance from (x,y) to the triangle.It uses min{} and max{}, which are defined in terms of the absolute value |x|. Code: https://t.co/Tq0QpIjFiI pic.twitter.com/Q8ZJQS0fwX— inigo quilez (@iquilezles) December 2, 2021

Bouncing from the focus of one parabola to another Posted on 2021/12/02 by Carl Reply bouncing from the focus of one parabola to another pic.twitter.com/ZYUrtI7ZMA— Matt Henderson (@matthen2) November 21, 2021

Supersonic parachute deployment at ~Mach 2 Posted on 2021/12/02 by Carl Reply Superb computational fluid dynamics visualization of supersonic parachute deployment at ~Mach 2 from @NASA_SupercompThese simulations are wildly complex because the deformation of the parachute structure has to be simulated as well as the fluid dynamics pic.twitter.com/wYHO8hTwWV— Chris Combs (@DrChrisCombs) November 19, 2021

Math buildings Posted on 2021/12/02 by Carl Reply float i,e,a,l,y;vec3 p,q,d=vec3((FC.xy-.5*r)/r.y,-1);for(d.xz*=rotate2D(t*.2);i++<2e2;e=max(min(++y,-e),y-3.)){i>1e2?l=log(e+=1e-4)/1e2,d/=d,o:o+=exp(-e*1e3)/2e2;p=q+=d*e*.7;p++;y=p.y;for(a=3.;a>.04;a*=.6)p.xz*=rotate2D(5.),p=abs(p)-a,e=min(e,max(p.x,(max(p.y,p.z))));}o+=l; pic.twitter.com/Di62BkhnWi— yonatan (@zozuar) November 19, 2021