Cat and Mouse

George Mason University Math 401: Mathematics Through 3D Printing
October 10, 2022
Hannah Robertson

For this assignment, we were required to create an ambiguous optical illusion. An ambiguous illusion is an illusion that is meant to shift from one object to another as a person's perception of the changes. The person that does this the best with mathematical objects through 3D printing is Kokichi Sugihara. The object that I created was inspired by Sugihara's ambiguous cylinder.

I coded my object in mathematica by using two piece-wise functions. One for the "mouse" which is a classic heart shape, and another one for the "cat" which is like a pointed heart. I called this object "Cat and Mouse" because when I think of the most basic mouse like face you can create it is almost heart-shaped, and a cats face is always identified by it's pointy ears. Both of the piece-wise functions graph of the interval [-1,1], with parts of each function going over the intervals [-1,0] and [0,1]. Y