Exhibits

Each exhibit connects an interactive mathematical model with a derivation and a reproducible experiment.

$Computed projected view: topology. 42 vertices and 120 edges. The interactive exhibit provides measurements and inspection.$

Topology

Count vertices, edges and faces, then compare local angle defects with the total curvature of a mesh.

$Computed projected view: fourier. 256 vertices and 0 edges. The interactive exhibit provides measurements and inspection.$

Represent a sampled contour with complex Fourier coefficients and measure the error caused by discarding frequencies.

$Computed projected view: geometry. 1203 vertices and 0 edges. The interactive exhibit provides measurements and inspection.$

Compare geodesic triangles in a plane, on a sphere and in the Poincaré disk using each model’s own metric.

$Computed projected view: complex. 1262 vertices and 588 edges. The interactive exhibit provides measurements and inspection.$

Follow square-root and logarithm values along a circular path, and compare continuation with a selected single-valued branch.

$Computed projected view: chaos. 2 vertices and 0 edges. The interactive exhibit provides measurements and inspection.$

Compare nearby Lorenz trajectories and separate sensitivity to initial conditions from numerical discretization error.

$Computed projected view: spectral. 32 vertices and 49 edges. The interactive exhibit provides measurements and inspection.$

Calculate graph Laplacian eigenmodes and use them to follow heat diffusion through a weighted network.