5 Ways to Use Triangular and Square Numbers in Game Design
It's a well-known risk of game design that in pursuit of originality, you will bump into well-studied concepts of mathematics. Some game designers come straight out of maths and sciences, so they already have a library of statistical and numerical knowledge at their disposal. The rest of us come out of a creative field where... let's just say math and logic wasn't a primary focus. All that to say, I stumbled into the term "Triangular numbers" a while back while figuring out the scoring for Koi Pond's ribbons. In layman's terms – that is to say, my terms – triangular numbers are a sequence of numbers that increase at a predictable rate. In the example below, you can see the typical progression of 1, 3, 6, 10, 15, and so on Ticket to Ride 's scoring progression was quite clearly arranged with the balance and logic of some mysterious underlying structure. I knew it was there, but I didn't know it had a name, let alone a whole history of researc