Zeno’s Path is named after Greek philosopher Zeno of Elea (c. 490 – 430 BCE). Zeno’s dichotomy paradox suggests that in order for Tess to reach the end of the path, she must make it halfway. But then she has to make it to the halfway point of the remaining length, and to infinitely more halfway points after that. In theory, this will take forever! In practice, how might Tess arrive at her goal?
Search for other odes to infinity in this scene:
- The tiling on Tess’s shell represents an infinite pattern inspired by the Poincaré disk. The heptagons scale in size as they get closer to the boundary of the shell to capture the ever-increasing surface area of the hyperbolic plane.
Can you find nods to infinity elsewhere in Mathemalchemy?