symmetry-math 0.1.0

Mathematics of symmetry groups — the bridge between art and physics

symmetry-math

Mathematics of symmetry groups — the bridge between art and physics.

Symmetry appears everywhere: Islamic tile patterns, molecular structure, particle physics.

Installation

pip install symmetry-math

Modules

• groups — Group base class, SymmetricGroup(n), CyclicGroup(n), DihedralGroup(n), is_abelian(), order(), subgroups()
• transform — 2D rotation, reflection, glide reflection matrices, compose(), is_symmetry_of()
• wallpaper — 17 wallpaper groups, classify_pattern(), generator detection, tiling verification
• orbit — Orbit-stabilizer theorem, orbit(), stabilizer(), burnside_lemma()
• crystal — 32 crystallographic point groups, Laue classes, systematic absences

No external dependencies. Type hints, docstrings throughout.