Can you map every possible maze in three dimensions?
In short: How do mathematicians categorize infinite complexity? Caroline Series explores how hyperbolic geometry provides a framework for mapping 3D mazes and the geometric patterns that emerge within them.
This presentation explores how mathematicians tackle the complex task of mapping every potential layout for an inescapable 3D labyrinth. To solve this, mathematicians utilize hyperbolic geometry to understand these structures.
Series illustrates these complex concepts using visual examples that have influenced digital art. Her research specifically focuses on Kleinian groups and dynamical systems within three-dimensional hyperbolic spaces.
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Sources
- Summary by Intellect · source: Topology, Geometry and Life in Three Dimensions - with Caroline Series
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