Is this topic relevant to Loop Quantum Gravity?

greatest of all time course on CG

this is the best way to teach the CG, which is all about problem-solving driven instead of exam-driven,so good,salute dude

truth be told, this is the best intro class for CG on the internet, guaranteed!!!

Did anyone try doing this course without much C++ experience? I have a bunch of programming experience in other languages, including C, but not specifically C++.

I'm a bit confused. The video is called discrete surfaces but - as far as I have seen - it only provides a definition for simplicial surfaces. maybe I need to watch the video again or maybe I should know beforehand that they are one and the same, i don't know.

THANKS A LOT FOR EXCELLENT VIDEO!!

Hey! I'm a student from Argentina, and was wondering if there is any way I could get access to the Assignments. Thanks very much in advance for posting these amazing video lectures!

These videos are incredibly helpful, thanks so much!

Isn't the norm of the tangent at 25:58 supposed to be in square root?

4-6 coded course with pre-elementary introduction to projective geometry? That's a bit of a surprise.

your videos are great. thanks a lot!

you helped me a lot in research these years, I have watched a lot of your videos, but there is a little problem, as I do not have a cmu email, it seems that I can not sign up to the piazza, do you have any solutions? THank you very much.

I got confused by the formula at 31:04, is the domain of gauss map the parametrization space, or the embedded surface given by f(R^2)? Taking the inner product of vectors that belong to different tangent spaces seems inconvenient. There must be more elegant formulation.

You can't imagine the excitement I felt when I found this course! Thank you very much for sharing!

his 'okay' sounds cute!

For the question in 43:09: It's true that if the point x get's closer to x_i, its value get's closer to f_i, since for phi_i the ratio becomes one (the triangles overlap) but for the other ones the ratio becomes zero. However, it doesn't do it in the same way of the other one (the 2d previous linear interpolation). For instance, consider the point just in the middle of the triangle. In the previous linear interpolation the value of phi_i, phi_j and phi_k was the same 0.5 (if the triangle is equilateral), but for the interpolation with the areas it's 0.3 for phi_i, phi_j and phi_k, since the area of each subtriangle is a third of the bigger one.

Would be great to have a final lecture in the playlist about the history of how the subject was developed. Was it Elie Cartan who majorly did a lot of the legwork in putting this stuff together?

He really did just go and say "grow some balls" without laughing. What a lad

Great knowing thank you

You seem to be mistaking angle measure for angle. An angle is a geometric object, while the angle measure is a quantity.

No of videos : 25 Average length of video : 1 hour, 10 minutes, 8 seconds Total length of playlist : 1 day, 5 hours, 13 minutes, 25 seconds At 1.25x : 23 hours, 22 minutes, 44 seconds At 1.50x : 19 hours, 28 minutes, 56 seconds At 1.75x : 16 hours, 41 minutes, 57 seconds At 2.00x : 14 hours, 36 minutes, 42 seconds

Thank you so much for putting this on the tube!

This a a great and concise explanation 👏

A short note: I come from machine and deep learning and went through your course specifically to understand what talking about manifolds in higher dimensions is about. Kind of a disappointing moment to see your statements at minute 8. 😂

19:18

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30:47 That sound effect :D!

Cool ! Actually, if the Torus is embedded in the 3-dimensional sphere instead of the 3-dimensonal euclidean space, then you can turn it inside out without making a hole in it !

42:42

14:11

You mention that you have a list of recommended supplementary textbooks; where could we find that list? Thank you for making this content widely available!

6:42

That surface is repulsive! I love it.

5:36

Not only is this video an excellent, digestible exploration of the Laplace operator, it is a celebration of it

Fantastic!

I'm here after some linear algebra and some geometric algebra

Thanks professor in Millions 😊. I am from an Electrical Engineering background and I have recently have found interest in computer graphics. Eager to watch the whole lectures.

Pentagon inequality :D

3:29 profound question… But I guess it has something to do with being able to measure distance between grid cells. Using square grids, the distance falls out of the cell coordinates; I guess it wouldn’t be so with f.ex a hex grid. And the deeper meaning is just… math: square grids play nice with the Cartesian coordinate system.

13:33

33:08 Okay, im still obviously missing something about the hodge star. Applying linearity, sure thats fine. But i thought the defining characteristic was that when you wedge it with the original form, you get the "standard basis form" but in this example, wouldn't you get something like 1-2x+2x^2 times the "standard basis form". Not really sure where my breakdown is happening

Amazing explanations. I really appreciate this so much. One thing I was wondering about is how you made all these visuals. For instance at 55:10 did you use Matlab to compute this, or do you use multiple different software? How do you make it look so nice?

One question, why if we mentioned that the cube was 2x2x2. We have vertices in 1 ,1 ,1 etc? should not be (2 , 2 ,2 ) vertice A ? and changing the remaining ones*