Geometry & Dynamics

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Geometry studies the shape and structure of spaces. Dynamics studies how points and systems move through those spaces. Together, they let us ask how curvature, topology, symmetry, and motion affect one another.

These projects begin with objects that can be drawn or simulated—tilings, geodesics, polyhedra, manifolds, and moving bodies—but lead to deeper questions about curved spaces. Students may build a visual tool, follow a path on a surface, compare geometric models, or use computation to test a conjecture before developing a proof.