InvTori

InvTori is the online alias of a contemporary artist and educator whose work centers on topology, geometry, and dynamical systems. The name suggests the mathematical concept of invariant tori and the idea of exploring otherwise complex systems through stable, torus-shaped representations.

The project blends visual art with mathematical exposition, producing interactive demonstrations, short explainers, and open-source software tools intended for classroom use and self-guided learning.

In practice, InvTori's outputs include interactive simulations that illustrate how invariant tori arise in Hamiltonian dynamics, as well as generative artwork based on toroidal geometries. The materials emphasize accessibility, aiming to translate abstract concepts into intuitive visuals without sacrificing mathematical accuracy.

Impact and reception: The work is used in university courses and outreach programs to demonstrate ideas from chaos theory and KAM theory. Critics note its strength in visualization and its potential for engagement beyond math-specialist audiences, while noting that it complements but does not replace formal mathematical treatment.

See also: Invariant torus, Hamiltonian dynamics, chaos theory.