TITLE: MOBILE — balance study
PROMPT: Create 'MOBILE — balance study', a kinetic sculpture toy: a Calder-like mobile of balanced arms and hanging abstract shapes (leaf, disc, crescent, ring) that rotates slowly in a breeze and responds to physics — drag any shape and the whole structure tilts, counterweights swing, torque resolves with damped oscillation; long soft shadows shift on the wall behind. Palette: matte black, signal red, saffron, and bare metal on a gallery-white wall. Interactions: drag shapes (the mobile finds new equilibrium with satisfying wobble); a breeze slider (or blowing into the mic is NOT needed — pointer gusts by flicking) animates rotation; click a shape to swap its form and mass; REHANG regenerates a new balanced tree; a shadow-theater mode projects only the silhouettes. Poetic equilibrium, physical grace.
DESCRIPTION: A kinetic sculpture on a gallery-white wall: a recursively generated mobile of balanced arms hung from a ceiling cable, each arm ending in an abstract shape (leaf, disc, crescent, ring, rod) in matte black, signal red, saffron, or bare-metal grey with its soft offset shadow on the wall. Each arm is a damped pendulum driven by child-torque imbalance and a sine breeze, so the whole tree sways and settles continuously; dragging any shape applies angular impulses that ripple through the structure with satisfying wobble. Buttons: BREEZE gusts the mobile, SWAP re-rolls every shape, REHANG grows a brand-new balanced tree, and shadow-theater mode adds (or removes) the projected silhouettes.
TECHNIQUES: recursive tree generation with depth-limited branching, per-node damped pendulum integration with child-count torque imbalance and layered-sine wind, canvas shape library with quadratic-curve leaves and stroked rings, pointer-drag angular impulses via movementX/Y, wall-shadow offset rendering, DPR-aware canvas.
INTERACTION: Drag any shape to perturb the balance (the sculpture finds a new equilibrium); BREEZE gusts it; SWAP SHAPES re-rolls forms and colors; REHANG generates a new sculpture; SHADOW THEATER toggles wall silhouettes.