Suppose you have a circle and you have to cut the circle into 4 regions of equal area with only 3 cuts. Where do you place the lines? Is there an exact strategy or is it a manner of approximation. Either way, it’s not as easy as one might think and yet the game is tantalizingly fun.
Slice It! is a really fun game for both Android and iOS devices and is available for free or $0.99. The object of the game is to cut across the figure into a certain amount of equal areas with a given amount of slices. One of the reasons I like this game so much is because I believe it strengthens the player’s mathematical sense of geometry, problem solving, estimation, and can promotes exploration of geometric theorems.
To the teachers out there or those who are curious, I find this game especially interesting because it can provide problems or questions for students to explore, learn, and practice theorems from Geometry. For example, exploring properties and theorems of triangles such as the Midpoint Theorem for Triangles: “The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.” It can really provide some “juicy” content for exercise and extension questions.
Here’s a trailer of how the game works: