What you call "elementary particles" are nothing but quantum number changes of a continuos field (well, our theory models it as a continuous field). They are NUMBERS that characterize an exchange of energy, momentum, angular momentum, spin, charge etc.. A number doesn't have a shape. A number just is. Now, the processes and objects that are being described by these numbers result in measurable distributions... that's what we perceive as nuclei, atoms, molecules, liquids and solids: distributions of quantum number changes. For the most part even these distributions are not spherical (with very few exceptions) and even that is coordinate system dependent in a relativistic world.
So in general I would say that modern physics has made these ideas of antiquity about the "shape of things" rather superfluous.
Again: elementary particles do not exist as independent entities! They are states and state changes of a complex object called a quantum field. It's the quantum field that has some sort of "objective" existence, not the particles, it's the quantum field that follows a dynamic evolution equation, not the particles. The particles are just part of the properties of that field, but they don't exist without it. The field "tells" us where to expect what kind of particle, it's not the particles forming a field.
Every "elementary particle", i.e. every field property is characterized by a set of quantum numbers describing charge, spin, and other local properties of the field. Each of these properties exists according to the rules of quantum mechanics at every point of the field. So when we observe particles interacting with each other, we are really seeing changes of the configuration of the quantum field.
Historically, of course, we used to think of space as empty and matter as chunks of stuff filling parts of it. What we saw was the stuff and we didn't think that what we thought was empty space was important. Then we discovered classical field theories like Maxwell's theory of electromagnetism, and we still thought of empty space as something fundamental that is augmented by matter and these classical fields. Then we discovered quantum mechanics and particles and it looked like we had a grip on reality by making everything from particles, like with lego. That was still wrong.
When you try to make the world from particles that follow quantum mechanical rules, then you run into nasty concepts like the wave-particle dualism. No matter how you turn that thing around, it never seems to make much sense. So the correct answer to that problem is that it doesn't make sense to look at the world as elementary particle lego. It's the other way round. What we think of as empty space is, instead, the real deal, aka the real vacuum. The particles just emerge from that real vacuum as properties. And now everything makes sense... but we have to abandon a lot of historic ballast.