PHONONIC BAND GAP OBSERVATORY
- Observe
- Acoustic and optical Bloch branches in an infinite harmonic chain with two masses per unit cell.
- First touch
- Change the mass ratio and spring constant, then select a wave number and branch to view the same mode in the chain.
- Worth watching
- Equal masses close the gap. The shaded interval has no real-wave-number Bloch mode; it is not a finite driven chain or an edge-localization test.
CELLULAR AUTOMATA CHAMBER
- Observe
- Local cell rules becoming generations, trails, waves, mazes, or fading fields.
- First touch
- Draw cells, switch rules, and compare how small seeds grow into different histories.
- Worth watching
- The past is visible as trace; the next generation is only one rule away.
DECISION TREE COLLAPSE
- Observe
- Branches growing, locking, fading, and collapsing under pressure and disturbance.
- First touch
- Add pressure or noise and watch whether a path keeps its shape.
- Worth watching
- The collapse is visual, not a prediction about real choices.
GENETIC ECHO CHAMBER
- Observe
- Information rows inheriting, mutating, fading, and echoing across generations.
- First touch
- Change mutation, selection, memory, branching, or echo strength, then disturb the sequence.
- Worth watching
- Similar sequences returning later are the echo, not a biological result.
VORONOI TERRITORY CHAMBER
- Observe
- Sites dividing space into territories, with boundaries following nearest distance.
- First touch
- Add or drag sites, then switch region, edge, site, and distance lenses.
- Worth watching
- A tiny point move can redraw a surprisingly large border.
OPTIMAL TRANSPORT WORKBENCH
- Observe
- Weighted point relations becoming a feasible transport matrix and a set of carrying links.
- First touch
- Move points, edit masses, Normalize, Solve, then compare Optimal with the source-order Greedy baseline.
- Worth watching
- A small destination move can reorganize several links because every source and destination mass must still balance.
PRIME GAP CONSTELLATION
- Observe
- Prime numbers becoming a star map of gaps, voids, twin flashes, and density drift.
- First touch
- Scan the range, drag the field, then compare constellation, spiral, ridge, gap, twin, and density views.
- Worth watching
- The subject is not primality calculation; it is the rhythm of empty space between returns.
TROPICAL CURVE BALANCER
- Observe
- A max-plus polynomial becoming a weighted tropical curve while an upper Newton subdivision records the dual combinatorial structure.
- First touch
- Edit integer heights, press BUILD CURVE, then select a vertex, bounded edge, or ray from either the canvas or the complete Feature index.
- Worth watching
- Weights and primitive directions balance exactly at every certified vertex; four-valent vertices remain single vertices and rays remain mathematically unbounded.
GRAPH SPECTRAL DIFFUSION FIELD
- Observe
- A weighted graph signal decomposed into Laplacian eigenmodes while heat moves between communities.
- First touch
- Switch the bridge and mode, select vertices, then STEP or PLAY to compare the spectral gap, heat trace, and community mixing.
- Worth watching
- Mass is conserved while Dirichlet energy falls in this finite deterministic model; it is not a social-network or physical-heat measurement.
OPTIMAL TRANSPORT DENSITY GEODESIC OBSERVATORY
- Observe
- A balanced one-dimensional density plan becoming monotone strips along a displacement geodesic.
- First touch
- Edit the endpoint densities, press SOLVE, then move t or STEP through the interpolated plan.
- Worth watching
- Mass stays balanced while the finite plan exposes W2 cost, entropy, and barycenter readouts.
QUASICRYSTAL DIFFRACTION OBSERVATORY
- Observe
- A deterministic cut-and-project point set with local coordination and eightfold diffraction peaks.
- First touch
- Move the phason or window scale, then switch POINTS, LOCAL PATCH, and DIFFRACTION lenses.
- Worth watching
- The same accepted sites support a finite local patch and indexed S(k) peaks.
MORSE LANDSCAPE OBSERVATORY
- Observe
- Critical points and sublevel-set changes in a finite 32x24 scalar cubical landscape.
- First touch
- Choose BASIN, PASS, CRATER, or RIDGE, move LEVEL, edit a vertex, then COMPUTE or switch HEIGHT, CONTOUR, and CRITICAL.
- Worth watching
- MINIMUM, SADDLE, and MAXIMUM events change V-E+F at ordered levels; edits clear stale reports until COMPUTE.
NOETHER SYMMETRY CONSERVATION OBSERVATORY
- Observe
- A dimensionless Lagrangian where translation, rotation, and time symmetry expose conserved charges.
- First touch
- Choose a symmetry, run or step the trajectory, then toggle BREAKING to compare balance residuals.
- Worth watching
- A preserved charge stays flat under its symmetry; an explicit breaking term makes the same balance drift without hiding the residual.
RANDOM GRAPH GIANT COMPONENT OBSERVATORY
- Observe
- A seeded G(n,p) ensemble shifts from many small components toward one giant connected component as mean degree grows.
- First touch
- Set SEED, NODES n, MEAN DEGREE c, and RUNS, then GENERATE, RUN ENSEMBLE, or C SWEEP.
- Worth watching
- Near c ~= 1, Smax/n and finite chi_f broaden across seeded runs; this remains a finite graph model, not a real network measurement.
TOPOLOGICAL DEFECT WINDING OBSERVATORY
- Observe
- Local angle rotation records a defect as an integer winding around a closed loop.
- First touch
- Move defects and loop paths, then SAMPLE or RESET to compare enclosed and unenclosed cases.
- Worth watching
- The loop value changes only when a defect crosses its boundary; paired defects cancel outside their shared region. The model does not claim a global single vortex.
CATENARY CHAIN OBSERVATORY
- Observe
- A uniform flexible chain settling into an exact static catenary under gravity.
- First touch
- Change support span, chain length, density, and gravity, then read sag and support tension.
- Worth watching
- The catenary is an exact static equilibrium curve, not a bulk-flow model.
CAPILLARY RISE OBSERVATORY
- Observe
- Jurin height and depression from a static interface balance in a circular tube.
- First touch
- Change tube radius, contact angle, density, gravity, and surface tension, then compare the target height.
- Worth watching
- The sign follows cos(theta); this is static interface balance, not bulk fluid flow.