Build a Vietoris–Rips filtration by scale ε, track when components, loops and cavities are born and die, and separate real structure from noise with barcodes, persistence diagrams and the bottleneck distance.

Physics

Tokamak Confinement Lab

Adjust magnetic field, current and heating to explore helical field lines, q profiles and trapped particles; distinguish internal activity from global stability criteria.

Signal Processing

Kalman filter tracker: predict, update and the confidence ellipse

Tune process noise Q and measurement noise R on a 2D target and watch RMSE, gain K, innovations and the NIS consistency test respond.

Physics

Crookes Radiometer — Light-Mill Torque Lab

Think a light mill is pushed by light pressure? A semi-empirical three-component model splits thermal creep / Einstein edge force / photon pressure — with the accelerate-then-reverse RPM-vs-pressure curve and the reversal pressure marked live.

Physics

Decay Chain & Secular Equilibrium Lab

Run the U-238 or Th-232 series, or a custom chain, with logarithmic half-life sliders; watch the activity curves converge to secular equilibrium.

Math

Traveling Salesman Annealing Route

Load TSPLIB instances, go from nearest neighbor to 2-opt to annealing, and compare how far each method lands from the known optimum.

Math

Collatz Conjecture Explorer

Trace any n under 3n+1 and watch peaks and stopping times; record holders, shared peaks and the verified bound 2^71 are all on the page.

Physics

Grandfather Clock Escapement Lab

Run a seconds pendulum with a Graham deadbeat or an anchor recoil escapement; watch the amplitude lock, the circular error and the daily rate — all measured against the exact AGM period.

Physics

Galactic Rotation Curve & Dark Matter Halo Explorer

Fit real rotation curves with a stellar disk, gas and an NFW dark-matter halo — NGC 3198, the Milky Way and the dark dwarf DDO 154.

Physics

Hong-Ou-Mandel Two-Photon Interference

Slide the photon delay and watch the coincidence count vanish at zero delay: HOM interference, distinguishability, beamsplitter asymmetry, and the fermion reversal can all be checked directly.

Physics

Brayton Cycle & Jet Engine Thrust Lab

Run ideal and non-ideal Brayton cycles, toggle regeneration, then switch to the jet view: turbine work drives the compressor and the fan.

Physics

Nuclear Binding Energy & Fission Chain Reaction Explorer

Check the semi-empirical mass formula against measured AME2020 data, follow binding energy along the beta-stability valley, and work out how much energy fission releases.