1. Introduction
Let’s set the scene. I (16M) am a huge fan of Minecraft. As such, since my birthday is coming up, I obviously want to get a Minecraft themed birthday party - this will include a pig pinata, Minecraft themed utensils, and obviously, a Minecraft cake.
A wonderful Minecraft cake.
When it comes time to cut the cake, I’ve only got a couple of - relatively self explanatory - rules. Obviously, I want every cut of the cake to be a triangle (for the sake of tradition), and I want every single cut to have an equal area, to avoid situations like this.
He got slightly less cake.
I invited six people other than me to my birthday party. How should I cut the cake?
At a first glance, it seems like there has to be a solution. I mean, there’s an infinite variety of ways to cut a cake into \(7\) triangles - surely one of them is such that all the triangles have equal area, right?
In fact, I encourage you to give this problem a shot! Try to split a...