Vectors, calculus & transformations — mathematical concepts made visual and spatial.
Compare a secant through two points with the instantaneous tangent slope, and see exactly where the limit does — and doesn't — exist.
Build a signed total from rectangles or trapezoids and compare each approximation with the exact accumulated value.
Track a rotating radius and its projections to see how one rotation produces two connected sine and cosine waves.
Transform a wireframe cube with scale, shear and rotation, and see how operation order changes signed volume and orientation.
Send two carts along a frictionless track and compare elastic and inelastic impacts through momentum and energy loss.
Release a spring-mass oscillator and compare ideal, underdamped, critically damped and overdamped return.
Compare a nonlinear pendulum's measured period against the small-angle approximation while tracking energy exchange.
Launch a projectile and resolve horizontal and vertical motion independently under constant gravity.
Build a head-to-tail chain and its parallelogram to add or subtract two free vectors in 3D.
Move a local origin and its coordinate planes around a fixed point to explore octants and projections.
Scan waves, saddle, bell and cone surfaces with perpendicular slicing planes to read cross-sections.
Probe a scalar field, test directional slopes and follow a gradient-ascent trail across four terrains.
Dial in x/y/z components and watch the component staircase, projection, rotation and normalization.
Build square, sawtooth and custom waveforms from harmonics and study convergence, Gibbs ringing and aliasing.
Morph continuously between sphere, cylinder, cone and hyperboloids by editing the defining equation.