Complex Trees · Project directory
A guide to my interactive research tools, mathematical images, and teaching projects. Each explorer connects a family of parameters with the geometry it produces.
Research preview · 2026
Explore binary planar similarity families with four real parameters. Move between orientation classes, inspect linked attractors and contacts, and follow named families back to their mathematical definitions.
The image shows finite numerical signatures on a toroidal angular chart. The chart’s shape is a display convention; the guide explains what each numerical result establishes.
Research software · 2026
Explore collinear self-similar sets through linked parameter and dynamical views, geometric overlays, finite inverse searches, shareable configurations, and image export.
Research alpha · Canvas/CPU explorer. Finite computational evidence is documented alongside the mathematical methods.
Interactive paper companion · 2026
Follow explicit interpolations between three classical fractal geometries and explore the parameters behind the construction.
The manuscript supplies the construction and proofs. The companion makes the changing geometry available for visual exploration.
Art · sculpture · animation
Sculptures, computational drawings, animations, and geometric objects developed through Complex Trees. Each work includes its own context and exhibition record.
Original artworks and photographs remain credited to their respective creators.
Interactive exhibition
Learning journeys developed with Wolfram Research for the National Museum of Mathematics, New York.
Earlier research explorer
The earlier browser explorer remains available at its established address.
Computational communication
Eight articles written between 2014 and 2021, bringing computational experiments and mathematical ideas to a broad audience.
Foundations
The 2018 thesis introduces families of connected self-similar sets generated by complex trees.