Beautiful math gifs

American mathematician Clayton Shonkwiler has an unusual hobby: he draws GIF animations. But not simple animations, but scientifically verified, which illustrate the beauty of mathematics and geometry. Some of these concepts can even be used in design.

He has already accumulated a rather big selection .

For example, here is a simple toric knot.



This is how filling the shape with triangles with colorful faces looks like.



And these are five regular polyhedra (Platonic solids), in rotation in each of the three dimensions.



And here is a 600-facet, another Platonic solid, a four-dimensional polyhedron, where each face is a tetrahedron.



Finally, the rotation of the Mobius strip.



By the way, Clayton Schonkweiler is not the only one who works in this genre. Some authors make not so much beautiful as educational pictures, which very clearly demonstrate some concepts. They are very useful as practical material in geometry classes at school.

For example, how to draw an ellipse .



Or a clear demonstration of the Pythagorean theorem .



Demonstration that the three-dimensional surface of a hyperboloid consists only of straight lines .





As a bonus - the blog of the English physics student Dave White , who generates animations in the programming language Processing .