A zoetrope is a device that produces the illusion of motion from a rapid succession of static pictures (Wikipedia)
And a 3D zoetrope is the same except it uses static sculptures and models instead of pictures. Here's a simple zoetrope I made that can be run on a turntable.
Cardboard (the size of the turntable)
Black (or any dark colored) paper
Step 1: Chalk Out the Steps of the Motion
The most important part is to divide the final motion of the zoetrope into a series of still figures such that the difference between two adjacent stills is not drastic. Keep in mind that this applies to the last and first stills as well, since they're in a loop.
I decided to simulate an ice-skater's toe loop jump since it starts and ends on the same leg; so if I play it in a loop it'll look like the skater's doing continuous jumps. I referred quite a few step-by-step tutorials for the jump and drew the above rough sketch
I have divided the final motion into 16 steps after noting that some successful zoetrope constructions had the same.
Note that this is not an accurate description of a toe loop. It's modified to get a continuous motion using pipe-cleaner models