I’m producing a short educational clip on automated-market-maker mechanics and need a concise 2d Manim animation (under one minute) that visualises the invariant curve of a liquidity pool. During the voice-over I will explain how the pool’s “health” value D stays constant through swaps, and how adding or removing liquidity shifts that curve. Your job is to let the viewer literally watch that story unfold, beat by beat. Here is what I’m after: • A clean 3D graph where the invariant curve is animated in real time to illustrate swaps, followed by smooth transitions that reposition the curve when liquidity changes. • Timing that matches a supplied voice-over script; each key concept must appear on screen exactly when referenced. • My own colour palette must be used (I’ll provide the hex codes once we start). Other design choices are up to you as long as they keep the focus on the curve and remain visually consistent. • Final output: 4k video file (MP4 or MOV). A version with an alpha background would be a bonus but isn’t required. If you have prior examples of technical or data-driven Manim Animation, happy to see it.