This is a compilation of several polyhedron like planters, or vases, generated procedurally with MATLAB R2016a. They were generated using vectors from origin as normal vectors of the faces, so any face is normal to the center of the pot. Every face has the same distance from the center, except for the top and the bottom face, which are 75% from the center, compared with the other faces. Each planter has is spiralized-vase version, for this kind of printing, tagged as "spiral". Here is a depiction of every model to understand the idea of this:

False dodecahedron: Thingiverse is full of dodecahedron planters; I made this model as a test of my MATLAB script. To make this model I defined for some of the faces to point alternatively between the north and south at some elevation angle all around, describing a revolution. It is not a true regular dodecahedron because the faces are not equal to each other; and it's not even a dodecahedron at all because it hasn't 12 faces.
Random polyhedron 20: A polyhedron with faces in truly random directions restricted to a range of latitude angle. "20" is the number of faces, not counting the top and bottom. After the direction of the faces is random, they could overlap as well as being apart each other.
Random polyhedron 40: Similar to the previous one, but with 40 faces.
Random polyhedron distributed: Still being random, but it is asured that, at least in some degree, the directions of the faces are distributed along latitude and longitude.
Pointy polyhedron: Now, the faces are distributed in a sinusoidal function. Every point has its radius coordinate powered by a positive exponent, so the edges grows exponentially.
Bubble polyhedron: Similar to prior one, but using negative exponent.

Check my other planter designs

I spend part of my time making these models, letting them available and free for everyone. If you want to support my work, you can contribute with me here:

Found 15 3D-models for “spiral polygon” across many websites

Spiral Twister Storage Box

Twisty Vase

Parametric Octaedron Vase

Prismer - Low Poly Object

Polygon Vase

Sharp Vase

Customizable Geometric Vase

Cool Spiral vase/planter SCALABLE!

Random polyhedron planters

vase low poly

Spiral plate

Fidget polygon

Twisted vase with strands

Helix lampshade

Fidget skull