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Infrageometry

⚠️ Actively developed, experimental research code. It undergoes frequent cleanings and refactors, and the API may change without notice.

Discrete geometry of combinatorial objects — complexes, hypergraphs, Hodge/Dirac calculus, Forman–Ricci curvature, simplicial maps, and differential forms on graphs.

✨ Usage

Install from the Wolfram Cloud:

PacletInstall["https://www.wolframcloud.com/obj/hajek_pavel/Infrageometry.paclet", ForceVersionInstall -> True]
Needs["WolframInstitute`Infrageometry`"]

Test on Example graphs

📓 Research Notebooks

Notebook Description Link
Forms and cochains Forms as wedge products of incident edges vs. cochains on the clique complex Wolfram Cloud
Vectors and displacements Algebra of discrete vector fields and their flows Wolfram Cloud
Simplicial sets and face graphs Simplicial sets and the face graphs of complexes Wolfram Cloud
Regular and uniform tessellation graphs Regular maps and uniform tilings of surfaces, as graphs Wolfram Cloud

🎨 Founding Sketch

Infrageometry

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