# Geometry Visualized: film brief

Create one silent, deterministic, 90-second instructional film for high-school students, undergraduates, and curious math learners.

The learner should leave with one coherent mental model: geometry studies invariants and relationships as spaces transform, from rigid motion on a flat plane, through circular motion and wave projection, through area rearrangement, to geometry on curved surfaces.

Use the supplied source as authoritative. Preserve its four conceptual modules, but direct them as one progressing visual argument rather than four slides. Prefer persistent objects, visual transformations, meaningful camera travel, readable settled holds, and a final payoff that connects flat and curved geometry.

Use the source palette and dark-slate visual world. Equations support the visual explanation; they may not become the primary content. Avoid title-card sequences, bullet lists, decorative camera movement, simultaneous unrelated motion, text-led teaching, collisions, and objects appearing without a spatial reason.

No narration, music, external assets, existing finished-film code, or generated imagery. Hand-author deterministic SVG/HTML/Canvas geometry as needed. The founder, not the model, is the final aesthetic judge.