The following apps are related to my current research interests and were created using Google Gemini.

The Heisenberg Group

A 3D interactive visualization of the first sub-Riemannian Heisenberg group

Walking vs. Unicycling

A 3D interactive visualization of a person walking compared to riding a unicycle

(associated closely with motion within the first sub-Riemannian Heisenberg group)

Cartan's Rolling Balls

A 3D interactive render of a small ball rolling along the surface of a larger ball

(associated closely with the Cartan group i.e. the free Carnot group of step 3 with 2 generators)