How are cyclic organic compounds represented with polygon formulas?

In organic chemistry, cyclic compounds are often represented using a simplified polygon convention to concisely illustrate their bonding arrangement.1

In this representation:
* Carbon Atoms: Each corner (apex) of the polygon represents a carbon atom.123
* Hydrogen Atoms: Hydrogen atoms are typically omitted from the drawing. It is understood that each carbon atom is bonded to the necessary number of hydrogen atoms to satisfy its valence of four.123
* Structural Context: While this method provides a clear two-dimensional view of the ring's connectivity, it does not explicitly convey the actual three-dimensional architecture of the molecule. For example, while a polygon might appear planar, many cyclic compounds, such as cyclohexane, adopt nonplanar, "puckered" conformations to minimize strain.12

This convention is widely used for carbocyclic compounds and can also be adapted for heterocyclic compounds by indicating the substitution of a carbon atom with a different element at the relevant corner.3