Here are some interesting geometric animations… Lots more to explore!
A few example animations found using sacred geometry as a search term on Giphy:
Fractal (Octahedra) Polyhedra with Sierpiński triangle faces via GIPHY
A Flower of Life variation with animated rainbow colors via GIPHY
Fractal (Dodecahedra) Polyhedra with pentagon faces via GIPHY
A couple of example animations found using polyhedra as a search term on Giphy:
A Rhombic Triacontahedron appears when the animated mesh reaches its finest resolution; here’s a fold-up pattern for the Rhombic Triacontahedron (a.k.a. Kepler’s Solid). Here’s the animation via GIPHY.
Each edge of the triangular faces of this lovely icosahedron is subdivided 4 times. Here’s the animation via GIPHY.
… and a few example animations found using fractal as a search term on Giphy:
Fractal gears via GIPHY
Fractal dogs/ears via GIPHY
Whirling squares (golden ratio spiral) animation
Thanks to fellow geometer Dave Van Dyke for pointing these out to me.