Visualizing 3-Dimensional Manifolds

Year: 2013 Authors: Dugan J. Hammock

Core claim

Intersection slices of a 3-manifold in R^4 can be computed as level sets in parameter space and efficiently visualized in R^3 via projection.

Topics

3-dimensional manifolds, hyperplane slicing, computer visualization, projected isosurfaces

Domains

differential topology, manifold parametrization, level sets, higher-dimensional geometry, scientific visualization, geometric aesthetics, mathematical art

Methods

hyperplane intersection, parameter-space level sets, projection to R^3, computer plotting

Media

Mathematica, MATLAB, 3D plots, images

Source status

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