It's tough coming up with a good activity that deals with numbers or geometry in a continuous way, since it usually requires a good amount of prerequisite knowledge. Today's activity is a set of discrete puzzles inspired by a continuous result colloquially known as the ham sandwich theorem.
This problem was sparked by a question asked by a student in the JRMF Community Math Circle featuring Colored Loops, an activity based on Gord Hamilton's Stirring Paint. While it can be used an an extension to Colored Loops, I'll present it as a stand-alone activity.