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Geometric Flows

Placeholder for project explaining geodesic flow and continued fractions with Pierre Arnoux.

Flowing lattices, two views

A planar lattice carried by geodesic and horocyclic flows, shown together in the plane and the upper half-plane and driven by one shared computation.

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3d Flow Flowing 3d lattice

Lattice flow (plane) A planar lattice flowing under geodesic and horocyclic flows, tracing the orbit of its shortest vectors.

Lattice flow (upper half-plane) A flowing lattice seen in the upper half-plane model, where the shortest vector traces a path among the images of a point.

Stretch and stack Stretch-and-stack flow on lattices: the unit cell warps under the flow and restacks, driven by the shared lattice computation.