How to generate Gaussian distributed numbers

In a previous post I’ve introduced the Gaussian distribution and how it is commonly found in the vast majority of natural phenomenon. It can be used to dramatically improve some aspect of your game, such as procedural terrain generation, enemy health and attack power, etc. Despite being so ubiquitous, very few gaming frameworks offer functions to generate numbers which follow such distribution. Unity developers, for instance, heavily rely on Random.Range which generates uniformly distributed numbers (in blue). This post will show how to generate Gaussian distributed numbers (in red) in C#.


I’ll be explaining the Maths behind it, but there is no need to understand it to use the function correctly. You can download the RandomGaussian Unity script here.

Continue reading

Understanding the Gaussian distribution

Randomness is so present in our reality that we are used to taking it for granted. Most of the phenomena which surround us have been generated by random processes. Hence, our brain is very good at recognising these random patterns. And it is even better at spotting phenomena that should be random but they actually aren’t. And this is when problems arise. Most software such as Unity or GameMaker simply lack the tools to generate realistic random numbers. This tutorial will introduce the Gaussian distribution, which plays a fundamental role in statistics since it is at the heart of many random phenomena in our everyday life.

Continue reading