Most common rock-forming minerals on Earth belong to a group of minerals called silicates. Silicates are distinguished from other minerals by the silica tetrahedron (sometimes called the silicate tetrahedron), a structural unit composed of one silicon atom surrounded by four oxygen atoms that bond directly to the silicon. This gives it the chemical formula of SiO4.
The silica tetrahedron is a four-sided pyramid-like structure, where the faces of the pyramid are all equilateral triangles and the corners (or vertices) are where the oxygen atoms are. The silicon atom is in the very center of the tetrahedron.

The silica tetrahedron looks a little different when the individual sizes of the atoms are considered.

CREDIT: Helgi CC By-SA 3.0

CREDIT: Helgi CC By-SA 3.0
The question came up in class today: How does a silica tetrahedron thing bond? How does it work?
Sadly, I had no answer. In the nearly 30 years I’ve been studying geology, it never occurred to me to ask that simple question. How – thermodynamically, chemically, physically – is it possible for a silica tetrahedron to exist. It’s always just simply been. The tetrahedron is. Just like air. It just is.
Well, that’s about as satisfying of an answer as “because I told you so,” or “because it’s always been that way.” Useless.
So, I looked for answers.
Those of us with a chemistry background agreed that at a first pass, since silicon lies just below carbon on the periodic table, it will behave in roughly the same way. Carbon is able to form four covalent bonds at once (Methane, CH4 being the simplest example of this) which results in the tetrahedral shape. Methane is tetrahedral, with a carbon atom in the middle and hydrogen atoms on the four corners.

CREDIT Effeietsanders CC By 2.5 nl
The tetrahedral shape works great for methane, because each hydrogen atom “wants” another electron, and the carbon atom “wants” four more electrons. By sharing electrons (covalent bonding), the carbon and the hydrogen are “happy” and methane is a stable molecule.

CREDIT DynaBlast CC By-SA 2.5
Does this work with the silicate tetrahedron? No. Not quite. Like carbon, the silicon in the center of the silica tetrahedron “wants” four more electrons. However, the oxygens (unlike hydrogen in methane), each “want” two electrons.
The result is that the silica tetrahedron (SiO4) has a strong negative charge and should properly be written SiO44-. This little detail is often glossed over when silicates are introduced in introductory classes (just like mine, oops). But it’s because of this charge that silicates come in so many varieties and forms.
Silica tetrahedra may remain independent in a mineral (as in the nesosilicates) or they may bond to each other in pairs (sorosilicates), rings (cyclosilicates), chains (inosilicates), sheets (phyllosilicates), or as a complex three-dimensional network (tectosilicates). When the tetrahedra bond to one another the charge is then reduced. The remaining charge (or the entire 4- charge, in the case of nesosilicates) is taken up with anions (atoms with positive charges) such as magnesium, iron, potassium, calcium, and aluminum.
The details of how the various silicates form etc. would be a different blog post. But I hope that this one at least satisfies our collective curiosity about how the silica tetrahedron can even be a thing.