Do you know why you know the normal law?
Introduction to the properties of probability laws

There are an infinite number of probability laws.

For example, if we sum the results of $k$ dice (variable of interest) and we're interested in the distribution of theoretically expected values, it's a matter of "summing up". $k$ discrete uniform laws. This is not a simple operation, and the result is no longer a uniform distribution. However, we can observe the result empirically by running simulations. The support of the variable corresponding to the sum of $k$ dice is the set of integers between $k$ and $6\times k$...