Transformations: Mathematics in Animations

Mathematics, and more specifically, geometry, transformations and coding are used in computer (and other) animations.  This blog is to help you explore the mathematics of animations, particularly the use of transformation in animations.

https://www.youtube.com/watch?v=IjsbdeRJl5E

Here  are a couple things to think about with the applications of transformations to computer animation. You'll note that some of the transformations are isometries (preserve congruence, like when Mr Incredible is working out....) and some are homotheties (preserve similarity, like when Mr. Incredible is falling from the sky) and some are neither, but are still transformations.

If you look carefully in this fun you-tube video, you'll be able to see that there's some 3-d geometry here along with programming and, of course, art. Have you seen Madagascar? You'll like this one.

Five types of animation are shown in this you-tube video.  You'll see how coding is used to create a computer animation (type 3 of animation). Type 5 animation (Stop Motion) you can do a little of at the museum downtown, Explora.

And, of course, there's a Ted Talk by a Pixar animator that discusses science with the animation that Pixar does.

Your task (the "prompt") here is to find some element of mathematics in animation then discuss it in your blog.  Do a search, see what you find.  Watch one (or more) of the fun video links I've included here.  You all have some great searching skills; find some additional information about how art and math are combined in animation.  Have fun!