A Topology Scavenger Hunt to Introduce Topological Data Analysis
Lori Ziegelmeier

TL;DR
This paper presents an educational activity using a topology scavenger hunt to introduce undergraduate students to topological data analysis concepts like persistent homology and mapper through hands-on analysis of various point clouds.
Contribution
It introduces a practical, engaging activity for undergraduates to learn applied topology and topological data analysis tools via software-driven exploration of diverse point clouds.
Findings
Students successfully analyze complex point clouds to infer topological structures.
The activity enables students to extend concepts to real-world data projects.
The approach enhances understanding of applied topology in an educational setting.
Abstract
Topology at the undergraduate level is often a theoretical mathematics course, introducing concepts from point-set topology or possibly algebraic topology. However, the last two decades have seen an explosion of growth in applied topology and topological data analysis, which are topics that can be presented in an accessible way to undergraduate students and can encourage exciting projects. For the past several years, the Topology course at Macalester College has included content from point-set and algebraic topology, as well as applied topology, culminating in a project chosen by the students. In the course, students work through a topology scavenger hunt as an activity to introduce the ideas and software behind some of the primary tools in topological data analysis, namely, persistent homology and mapper. This scavenger hunt includes a variety of point clouds of varying dimensions,…
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Taxonomy
TopicsTopological and Geometric Data Analysis
