In other words: Does there exist any cubes or cuboids in nature? From my observations, most of the natural substances are spherical (planets, for example), cylindrical (parts of plants) or irregular shapes (asteroids).
Pyrite can be found in the form of cubic crystals. The shape is dependent on the concentration of sulphur during the formation of the cystals. See the pictures of the pyrite crystals from Navajún, Spain: http://www.therockgallery.co.uk/pyrite-crystal-individual-cubic-crystal---spain-733-p.asp
It is interesting that crystals are having cuboids in nature. I observed the following as well.
Let us denote set of all cuboids and polygonal shapes man made (now we can include natural one) in the universe by A and set of all spherical, conical, cylindrical, irregular shapes by B.
1. A is almost nothing compare to B.
2. In atomic level, A will be a subset of B.
It is a Conjecture.
Interestingly, Vacuum stands over there to compete them.
For a detailed answer look for the research of Gábor Domokos for example in the project: https://www.researchgate.net/project/Morphology-and-equilibria-of-rigid-bodies-from-theory-to-applications
You forget to mention the most important type of the amazing geometrical shapes, the fractals.
In fact, fractals are everywhere in nature
As well what about the shapes that are (living things) made.
Watch the great engineer, the spider.
The nest of the birds, all creatures, even the insects have their incredible geometry. In which category they should be A or B?
I think this will enlarge the set A versus the set B.
Finally, I would like to add, topology unified almost all into similar categories, where the cube and the sphere are living in the same class.(Homeomorphic)
Curves are more frequent phenomena for the world of nature. They have important feature of 'repeatability' that can often be found in the fractal patterns from micro to macro scales.