Show the relationship, then the formula
Start with a precise claim: how changing a function shifts its graph, why a triangle has half a rectangle’s area, or how a process changes one state into another. Your Agent names the variables, builds an editable ManimGX scene and checks that the geometry supports the claim.
The deliverable is Python source and an actually rendered MP4. The included examples are silent animations that can stand alone as short visual explanations or be inserted into a larger knowledge video.
Inspect, render and check
Install the pinned engine in a separate Python environment. Inspect the scene’s layout, fix formula size and clipping, then render with an explicit resolution and frame rate. Check both the numerical result and the actual frames: a correct formula can still be unreadable on screen.
For a local revision, change the named parameter or scene and save a new output. Reuse starts with a different mathematical claim, not a new title over the same animation. The package includes example source, upstream API guidance and license notices.
Runtime and boundaries
ManimGX runs locally after its engine and dependencies are downloaded. No video-generation API key is needed for this rendering path. Narration, subtitles, music and external source verification are separate steps; the package does not silently supply them or certify every scientific topic.