This diagram is known as a "Frost Circle", and shows the energy levels of the molecular orbitals of the pi system in a benzene molecule. I like the way it is nested - at each corner of the diagram we see a visualization of one of the molecular orbitals of the benzene molecule. Taken as a whole, the diagram also constitutes a common shorthand representation of benzene - a hexagon with a circle in the center.
The ouroboros in the center is a reference to the great German chemist Kekule, who is most famous for deducing the (approximate) structure of benzene. The structure came to him after having a reverie of a snake seizing his own tail. Kekule died several years before the Nobel prize was instituted, but would sure have received a Nobel prize had he survived longer. Three of the first five Nobel prizes in Chemistry went to a student of his.
I think this makes a cool design for a shirt. I think of it as the sort of geometric pattern a superhero might use as an emblem on his (or her) chest. A chemist superhero. There ought to be more of these. Perhaps the reason we haven't seen many of them yet is a shortage of good logos.