## 100 thoughts on “Math and Movies (Animation at Pixar) – Numberphile”

1. Vinay Seth says:

wait- what do 1,1 mean? and 1,2,1 etc?

2. oOMCmaxOo says:

@Numberphile  Thanks for this. I work in 3D Animation and have been wondering about the math behind Subdivision and limit surfaces for quite some time.

On a side note, you asked Tony if everything comes out blobized, but in this vid, it doesnt seem like he answered the question the way you were expecting. The answer is no. In the 2d example, if we wanted one corner to be sharper than the others we add 1 or more vertices near the corner vert. The result is the averaging and splitting is tighter where we've added more vertex density resulting in a sharper smoothed corner

I wonder if this links to how large rubiks cubes are smoothed? Anyone else see a similarity to the cube when it is smoothed?

5. rangedfighter says:

Thanks brady for bringing so much cool science stuff in a lot of different fields, kudos to you

love the A113 double easter egg at the end!!

7. cbbuntz says:

Interesting observations:
Each row of pascals triangle is generated by the convolution of the row above it by 1 1.

Each progressive row becomes closer and closer to approximating a perfect gaussian curve [or e^(-x^2) ]

8. TheGeekiestWoman says:

I really enjoyed this one, but I do have a background in math, programming AND graphic design (since the 60s), so it made my skin … twitch.

9. The Foreigner says:

i dont understand nothing

10. sd4dfg2 says:

Whew, I thought they weren't going to use the brown paper.

11. dfsfklsj says:

Fun fact about Toy Story- the character of Andy was allegedly named after Andy Van Dam, a Brown University professor who mentored many people on the animation team. In one scene, you can find Andy Van Dam's book about computer animation on a bookshelf.

12. Rhymes Official says:

If you heard of the goldbach conjecture, look at my video, i found a nice pattern.

13. Patrick says:

What are you a smart guy or something?

14. Joe Thompson says:

Is the Geri's Game guy ythe same guy who cleans Woody in Toy Story 2?

15. Insulin Shaman says:

Absolutely brilliant

16. Scott Lahteine says:

Then he put in a limit of -1/12 and the computer imploded!

17. elwynbrooks says:

Wow!! Never realised there was so much maths in animation and art. Fantastic stuff!

18. James says:

This is way cool.

19. Look Behind You says:

What program is used?

20. Zombie Jäger says:

21

21. coocoo1995 says:

CATMULL CLARK!!!

22. coocoo1995 says:

What program is that?

23. Christopher Pilcher says:

Is this software available to mess around with? If not, I might try to program a simple version in C++.

24. TheiLame says:

9:22 is the blue dot the last stadium or what happens when you do the SPLIT once again? It remains the same?

25. LotharioCassanova says:

Can someone tell me, what is the application used in the video, where the guy introduced as the Pascal's Triangle. Where the buttons Split, Average, and the Subdivide.

26. Mentaculus says:

I want to see him explain the derivation of the (A+4B+C)/6 expression!!

27. digit432 says:

When is the second video coming????

28. Dustin Rodriguez says:

I was really hoping he was going to discuss the mathematics behind radiosity!

29. Manolito Mystique says:

Quality material as usual. But please, check your microphone levels. This is not the first time that the sound is clipping a whole lot. You did show us that you are checking your sound by asking what your interviewees had for breakfast. So maybe it’s a post processing issue?

When should we expect the 2nd video in this series? Awesome stuff! Thanks!

31. Nicola Garau says:

Does anybody know what is the name of the software used in the video?

32. L N says:

Just so cool!

33. BeenOrange says:

Is this used in Anti-Aliasing in games?

34. ateb3 says:

what does it mean 2 parts of this point and 1 part to the one of the left and right ? what is he calculating?

35. Matheus Amazonas says:

Amazing video, please keep making more of these.

36. paramoreguate says:

He looks a lot like Willem Dafoe.

37. Splatpope says:

5:00 : this is not an emergent property, he pretty much described a spline

38. Mike Downes says:

answers so much to me, listen for the where did the 1, 4, 1 come from? ..

39. Mckenna Cisler says:

So when they say 1,2,1 weights it means that B's x and y coordinates are weighed 4 times as much than both A's and C's coordinates, and the average of all those coordinates is the new value? In that case, how can you use something like 1,3,3,1 when operating on 3 points?

40. Alien Philosopher says:

Amusing mathematical methods to create smooth animated works of art.

41. Zakiya Cush says:

Great video and use of STEM in film…also a great example of how to use Calculus and Geometry in animation!

42. melv douc says:

I thought B(infinity) would just be at the center of the polygon lol

43. umcarainteressante says:

So amazing… I wanna work in this area 🙂

44. Michael McNamara says:

Wow I couldn't believe that 1,4,1 could make you laugh, sad, cry, and be entertained!

45. Ferry Mahendra says:

Americans are just the best, for sure!

46. Patrick says:

I thought it was all done through magic. PFFT!

47. Qualo Pink says:

I hat this video ok do not play this video im serius all right

48. Holobrine says:

Can I get the program for the 2d curves in the video?

49. sophrapsune says:

Great video, thanks.

50. picosdrivethru says:

as a 3d modeler, this was really awesome to watch. Much thanks!

51. Milky Rhøbember says:

you could totally 3d print Geris hand from a digital model now n_n

52. Fábio Azevedo says:

Am I the only one to see the basic shapes of the Brazilian flag at 5:49? (Well, maybe because I am Brazilian… :-))

53. Jett Saustrup says:

what site is that

54. Patrick says:

Is there a program I can download to do this? I would love to play with this program.

55. MyLittlePonyFan2002 says:

Is that a toll booth in front of PIXAR Animation studios so you can pay to go in or something?

56. satellite7391 says:

"Where did you get 1, 4, 1 again?
"From by back pocket."
"Okay!, look here smart ass." Interviewer probably

57. Arikyo-kun says:

I have been researching into catcall-clark subdivision surface and it's very difficult to find the connection between Pascal's triangle weight to how the dots move. My brain is burnt 0____0

58. Dinkle berg says:

going to hopefully be doing Computer Visualisation and Animation at Bournemouth Uni, the artistic side of computer animation is awesome but the Maths side is so damn interesting, really glad that were going to be looking at the Maths, not sure whether this'll be covered but hope so, seems really interesting:3

59. Faith says:

This is really interesting 🙂

60. david lewis says:

Watched this like 3 times for some reason. Learned something useful about all rendering. Weird this is unknown by many who use this. tried to explain this to friends in AutoCAD/Image Design and ended up just showing this video.

61. Christopher Rogers says:

I've always been intrigued by this material. I have a double major in Sec. Math. Ed. and Mathematics with a minor in physics. I love/know my math and I know html, python, and C++. I'm currently looking for employment and I would love some experience in programming. Does anyone know what I would be qualified for?

62. Militant Pacifist says:

6:45 Looks like a sharingan.

63. Militant Pacifist says:

So they're basically taking derivatives and integrating.

64. Ghost Freak says:

Wait. I'm a bit confused. Is this kind of math only exclusive to 3D animation, or is it used for 2D too?

65. morgengabe1 says:

Another special video, Haran!

66. morgengabe1 says:

Does anyone know what software he uses?
Also, I'm interested in constructing time graphs. I don't know any programming, but I've been working on some maths i'd like to model. Could any one recommend languages/techniques/programs to use?
I've got a mac, so xCode's obviously an option. But I want something with a graphical interface like his one so that I can generate active graphs. Would I just have to get that going from zero?

Would appreciate any help anyone can give!

67. Soulsphere001 says:

The first three minutes of this video is extremely informative. I've always wondered about how to convert a square to a circle, and it seems like this might be the way to do it.

I also wonder if they explain this in "Pixar in a Box".

68. NEIL SEN says:

Is maths is necessary to be an Animator?? Plz reply plz 🙂

69. Arturo Dela Cruz says:

behold trigonometry

70. Brittany Hayes says:

what if your terrible at math but can still do animation? if that makes any sense.

71. Maria Villa says:

Why he divide the expressions by six?

72. Miscellaneous Quarts says:

I won't have to do much math as an animator.

HALLELUJAH

73. Katherine Hwang says:

huh =.= oh my

74. Aleksandras Ignatavičius says:

wow

75. Paul Fillinger says:

Beautifully done!

76. Steffen W. says:

Dank material

77. Name Last Name says:

looks like Piet Heins superellipse and egg

78. Jeremy Buchanan says:

TO B INFINITY AND BEYOND !!!

79. Xan the Dragon says:

Huh. I had no prior education to 3D modelling when I got started – I taught myself everything up to what I know today. It's interesting to know that what I do after making my low-poly representation to turn it into a higher detail model is a trick used by this guy as well.

80. TerrahBite says:

A lot of this applies to video game rendering too, 😛 just on a much, simpler, smaller scale

81. Michael Hird says:

is pascal's tetrahedron a thing?

82. Arturas Karbocius says:

Are they Beziere curves ? To smoothing out objects PieXAR 🙂

83. ody vinty* says:

84. Mr.Champion says:

omg where can i get the 2D software used in this, i really want to mess around with the weights

85. J L says:

I love Pixar

86. Srinivas chalamala says:

sir which software he used while explaining

87. Nirbhay Solanki says:

cool math

88. Ella Skultinas says:

Thank the lords I found this video. I had to pick a job that uses science and mathematics for an essay and I chose animating. I only found small things in other videos, but I got so many notes in this video. THANK THE LORDS.

89. J LR says:

What is the benefit of an eigenanalysis versus a Ritz analysis?

90. Tymen Van Essen says:

is the 1 4 1 not just the square of the 1 2 1 he used?

91. Tracy Roese says:

We watched this in my Geometry class. Students bet me that I could not give them any examples of using geometry in real life and this was PERFECT! Thanks for helping me win my bet! 🙂

92. Bill Mayhew says:

Pretty cool.

Willem Dafoe was awesome here!

Why the irritating and distracting background sound sequence? I don't think I hard it before on Numberphile. Once I noticed it, the 8 eternally repeating notes it almost drove me insane.

95. First Last says:

He looks so much like Desmond Doss!! 😱
The lips especially!

96. anon ymous says:

seems like you could just have a playbook of curves… no reason to model them with this splitting-subdivision technique. This whole thing could be instantly streamlined to relatively simple geometry functions

97. Eudoxus of Cnidus says:

My Dream .

98. William John says:

I am using blender and observed it too