Many mathematicians and scientists have tried to visualize four dimensional space. I tried to visualize a four dimensional sierpinski pyramid and construct a three dimensional projection of the four dimensional pyramid. I first worked on understanding how a three dimensional sierpinski pyramid is constructed and then I unfolded it into two dimensions to help me visualize how to take a four dimensional one into a lower dimension. I came up with several different ways of unfolding single pyramids and used these to unfold different levels of the pyramid. Using clay and sticks and Illustrator in the multimedia studio, I was able to show that a level two pyramid could be unwrapped into the plane, but the level three pyramid could not be symmetrically unwrapped into the plane without overlap. My result had interesting implications for understanding the 4 dimensional sierpinski pyramid. It is possible that 3-D representations of the 3 dimensional sierpinski pyramid would entail intersections, making them very difficult to interpret. This can be focused in future studies.
Fadzai Fungura, ’10 Buhera, Zimbabwe
Majors: Mathematics, Physics
Sponsors: Stephen Bean and James Freeman