Calibrating instruments…
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The showcase
Open to everyone, no account required. Every simulation in the full school library is held to this standard: accurate numerics, live graphs, real mathematics.
A full gravitational N-body sandbox integrated with a symplectic velocity-Verlet scheme. Fly through Kepler orbits, the figure-8 three-body choreography, binary stars and gravitational slingshots while total energy and angular momentum are tracked live to numerical precision.
The two-dimensional wave equation solved live on a 63,000-cell finite-difference grid — no scripted ripples. Double-slit fringes land exactly where the path-difference condition puts them, measured on an intensity screen against the Huygens–Fresnel prediction. Pour your own waves with the pointer, push a Doppler source past the wave speed, and watch a Mach cone form at arcsin(c/v).
Place positive and negative charges and watch the electric field draw itself — lines streaming out of the positives and into the negatives, exactly along the direction a small test charge would feel. Everything is a true superposition of Coulomb fields: the density of the lines shows the field strength, glowing markers flow along them from + to −, and the field vector and potential update live under your cursor. The classic dipole, like-charge and quadrupole patterns all emerge from the same inverse-square law.
The full nonlinear equations of motion derived from the Lagrangian, integrated with RK4. A twin system starting 10⁻⁴ rad away demonstrates sensitive dependence on initial conditions, with exponential trajectory divergence plotted on a log scale alongside the phase-space portrait.