Hao Chen 陳浩

Geometer

[Hao Chen 陳浩 @Chen_Hao]

Finally, the preprint https://t.co/ulcYA1h0IL

[Hao Chen 陳浩 @Chen_Hao]

A gyrating version of the H'-T surface. This surface to H'-T is as gyroid to tP.

[Hao Chen 陳浩 @Chen_Hao]

https://t.co/kAMABqhkiV
A demonstration of 4 different ways to glue an octagon into a genus-2 Riemann surface. This is an exercise to "mod" out hyperbolic translations, necessary to draw the tilings in the previous post.

[Hao Chen 陳浩 @Chen_Hao]

Three monohedral tilings of genus-2 Riemann surface by heptagons, obtained by the group of WANG Erxiao from Zhejiang Normal University. Code is available at https://t.co/OssxztseCf and also on Shadertoy (links in the GitHub repository).

[赵亮 @neozhaoliang]

双曲反射群��术展正在上海科技大学举行，对艺术和数学感兴趣的朋友可以去看看。入校事宜可以联系作者之一的 @Chen_Hao 老师。请原谅我的手机拍摄的渣画质。

[Hao Chen 陳浩 @Chen_Hao]

https://t.co/H86EM6GuzI
Corresponding preprint.

[Hao Chen 陳浩 @Chen_Hao]

First time to leave Euclidean space 😅. Here are Lorentzian CHM surfaces (maxfaces). Right-hand side are the zoom-ins of the singularity at the bottom of the left-hand side. They seem cone-like but actually not.

[Hao Chen 陳浩 @Chen_Hao]

My first 3D printed minimal surface (twisted Karcher-Scherk saddle tower).

[Hao Chen 陳浩 @Chen_Hao]

Please recommend a 3D printer for differential geometer. Easy to use, easy to model surfaces, no need to be fancy. Thanks in advance!

[Hao Chen 陳浩 @Chen_Hao]

@graveolens https://t.co/GwaVmG29lF

[Hao Chen 陳浩 @Chen_Hao]

@graveolens Yes, making Scherk ends into helicoidal ends.

[Hao Chen 陳浩 @Chen_Hao]

Finally published! Helicoids and vortices | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences https://t.co/QJyII23RIS

[Hao Chen 陳浩 @Chen_Hao]

@graveolens @AlexKontorovich @Albertotufaile @monsoon0 @sigfpe @lenfuchs @alytile @soma_arc Just seen this. The code specified harmonic oscillations, so elliptic orbits are no surprise. The surprise lies in the lack of collision. It is some kind of "dynamic circle packing" achieved by some kind of optimization. Now we need to study how and why it worked, mathematically.

[Hao Chen 陳浩 @Chen_Hao]

@duolingo knows.

[Hao Chen 陳浩 @Chen_Hao]

@duolingo I suggest a brief guide on the pronunciation for the new Cantonese course.

[Hao Chen 陳浩 @Chen_Hao]

AI-enabled image fraud in scientific publications https://t.co/XWmbfMKU1E @MicrobiomDigest

[Hao Chen 陳浩 @Chen_Hao]

I simply can not take responsibility to any paper that comes out from such a team. And I read many engineering papers who made similar mistakes. So, if you see this thread, and you are working on TPMSs or periodic bicontinuous structures, please be careful in your work. /11-end

[Hao Chen 陳浩 @Chen_Hao]

So all their data becomes questionable, and all my previous effort comes in vain. They explained that it is hard to impose periodic boundary condition because the structure is not periodic. COME ON! The "P" in TPMS means PERIODIC! /8

[Hao Chen 陳浩 @Chen_Hao]

I have to set up some bottom lines: Quantities must be dimensionless, independent of unit cell choice, and periodic boundary condition must be imposed in simulations. But then I ask myself: What if there are other mistakes in the computation that I can not possibly check? /10

[Hao Chen 陳浩 @Chen_Hao]

But then, another problem pops out today. It turns out that their simulation on single unit cells did not employ periodic boundary condition. Even worse, they just randomly chose boundary conditions, fixed for some TPMSs, free for the others, just whichever convenient. /7

[Hao Chen 陳浩 @Chen_Hao]

First, it turns out some team members do not understand dimension analysis. I asked if their quantity is dimensionless, they said no. Then I asked their reason to choose a particular cell size, and there is none. I explained that this is bad, they said everyone does this. /4