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Infinite Motion — Lemniscate Gallery

Overview

Infinite Motion is an interactive visual experience where 25 portrait images orbit continuously along a mathematically-defined lemniscate of Bernoulli — a figure-eight infinity curve. Scroll, swipe, or drag in any direction and the entire formation responds, each tile shifting in scale, opacity, and z-depth to simulate genuine three-dimensional movement across the curve. The depth of field emerges purely from parametric math: no canvas, no WebGL, only precisely calculated CSS transforms applied at 60fps. A staggered character-level headline animation greets the experience on load, each letter performing a 3D rotational flip with an overshoot ease before settling into place.

Tech Stack

  • React 19
  • Vite
  • GSAP
  • Lenis
  • Tailwind CSS

Highlights

  • Infinity curve built on the lemniscate of Bernoulli parametric equations, calculated per-tile every frame
  • Depth simulation through cosine-derived scale [0.4–1.05] and opacity [0.35–1.0] mapping
  • Dynamic z-index layering computed from the sine component of each tile's curve position
  • Scroll, wheel, touch, and pointer input unified through a single GSAP Observer instance
  • Scroll, wheel, touch, and pointer input unified through a single GSAP Observer instance gsap.quickTo drives a persistent progress tween, delivering smooth inertial deceleration on every input
  • Per-character SplitText animation with rotationX: 180°, 3D transform origin, and back.out overshoot stagger
  • Orbit radii recompute live on ResizeObserver events, keeping the curve proportional at every viewport size
  • Lenis smooth scroll with cubic ease-out easing, manual RAF loop, and prefers-reduced-motion support

Formats

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