A geometric area proof drawn into an integral
A silent 21-second math animation sweeps a geometric construction into a filled region, then derives its exact area.
Field notes / why it works
The opening frame starts with a complete coloured geometry problem, and parameter motion begins within about 0.8 seconds despite zero cuts. At roughly 4.4 seconds the crowded construction resolves into a filled region; equations from about 7.4 seconds turn that visual payoff into an exact result held at the end.
Plate 01 / The format in one breath
A blackboard-like plane opens on an already built geometric construction. A parameter moves through it, turning a web of labelled points and segments into a single filled region; a compact integral then computes the region's area. The promise is visual proof of a result, delivered through motion and notation rather than narration.
Why it works
- The first frame already contains the square, axes, coloured construction, and a problem title; it skips an introduction.
- In the first 3 seconds, a yellow tracking point and connected lines change position without a cut, turning a dense diagram into a question the eye can follow.
- Around 4.4–4.7 seconds the construction clears to a cyan boundary and green filled region. The late formula reveal around 7.4–17.5 seconds gives a second reason to keep watching.
Plate 02 / Format card
| Platform · aspect · length | X · 16:9 · 1280×720 · 21.0 s · 60.04 fps |
| Pace | 1 shot, 0 cuts/min; 3 detected internal changes, about 8.6 picture changes/min; 20.98 s shot |
| Script | 0 spoken words; formula and diagram labels carry the explanation |
| Voice | None |
| On screen | 100% code-rendered 2D math graphic; no presenter or footage |
| Captions | None; small white italic serif point labels and white serif title/equations |
| Sound | Effectively silent: measured −70 LUFS integrated, no detectable speech or music |
| Structure | Animated setup → region reveal → equation derivation → exact answer; no CTA |
Pro / 13 plates + recipe
The first plates are open. The full dissection is Pro.
Get the timed shots, type and sound specs, and the runnable recipe.
Open the full blueprint- Plate 03 / The hook, frame by frame (first 3 seconds)Pro
- Plate 04 / Structure (beat sheet)Pro
- Plate 05 / Shot grammarPro
- Plate 06 / Visual style guidePro
- Plate 07 / Voice and deliveryPro
- Plate 08 / Sound designPro
- Plate 09 / PackagingPro
- Plate 10 / Script templatePro
- Plate 11 / Production planPro
- Plate 12 / PromptsPro
- Plate 13 / Edit recipePro
- Plate 14 / QA checklistPro
- Plate 15 / Make it yoursPro
- Recipe / runnable promptPro