Interactive tools and experiments built with AI.
A guided box breathing exercise with animated visualizations and ambient sound. Customize inhale, hold, and exhale times, choose from three visualizations (breathing circle, fractal bloom, wavy lines), and adjust ambient volume.
Artemis II — Trajectory & Propulsion Physics
A deep dive into the physics behind NASA’s Artemis II lunar flyby mission: four-phase trajectory breakdown, propulsion stack specifications, delta-v budgets, and the Tsiolkovsky rocket equation applied to the SLS/Orion system.
POTS, Salt & Cognition — Research Summary
A research summary examining the neurological mechanisms behind brain fog in POTS (Postural Orthostatic Tachycardia Syndrome), the rationale for high-sodium treatment, and a cost-benefit analysis of salt supplementation on cognitive function.
Major Mathematical Conjectures & AI
Two reference tables: 22 of the greatest unsolved problems in mathematics (color-coded by field), and 9 landmark AI breakthroughs in mathematical reasoning from 2023–2026, including AlphaProof, FunSearch, and the Erdős conjecture proof.
An exploration of black holes formed in the first second after the Big Bang: formation mechanics, Hawking radiation, their candidacy as dark matter across the full mass spectrum, gravitational wave signatures, and the open questions that make them one of cosmology’s most tantalizing unsolved problems.
A Course in Geometry
A complete secondary geometry course in two volumes: a student textbook covering 88 sections across all the standard topics (Euclidean geometry, trigonometry, coordinate geometry, solid geometry, and an introduction to non-Euclidean spaces), and a companion set of lesson plans with answer keys — one per section, structured for a 45–55 minute class period.