Date of Award
Bachelor of Science
algebraic, topology, persistent, homology, simplicial, complex, buckyballs
The human mind has a natural talent for finding patterns and shapes in nature where there are none, such as constellations among the stars. Persistent homology serves as a mathematical tool for accomplishing the same task in a more formal setting, taking in a cloud of individual points and assembling them into a coherent continuous image. We present an introduction to computational topology as well as persistent homology, and use them to analyze configurations of BuckyBalls®, small magnetic balls commonly used as desk toys.
Turner, Jason; Johnson, Brenda; and Gasparovic, Ellen, "Introduction to Computational Topology Using Simplicial Persistent Homology" (2018). Honors Theses. 1660.