Here's the breakdown:
* s orbitals: These are spherical in shape. There's only one s orbital in each energy level.
* p orbitals: These are dumbbell-shaped, with two lobes on either side of the nucleus. There are three p orbitals per energy level (px, py, and pz), oriented along the x, y, and z axes.
* d orbitals: These have more complex shapes, including a cloverleaf and a dumbbell with a donut around the center. There are five d orbitals in each energy level.
* f orbitals: These are even more complex, with even more lobes and nodes. There are seven f orbitals in each energy level.
Therefore, there are four basic types of orbitals (s, p, d, and f), but there are many more individual orbitals within each type.