feat(skills): add manim-video skill for mathematical and technical animations

Production pipeline for creating 3Blue1Brown-style animated videos
using Manim Community Edition. The agent handles the full workflow:
creative planning, Python code generation, rendering, scene stitching,
audio muxing, and iterative refinement.

Modes: concept explainers, equation derivations, algorithm
visualizations, data stories, architecture diagrams, paper explainers,
3D visualizations.

9 reference files, setup verification script, README.
All API references verified against ManimCommunity/manim source.
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# Rendering Reference
## Prerequisites
```bash
manim --version # Manim CE
pdflatex --version # LaTeX
ffmpeg -version # ffmpeg
```
## CLI Reference
```bash
manim -ql script.py Scene1 Scene2 # draft (480p 15fps)
manim -qm script.py Scene1 # medium (720p 30fps)
manim -qh script.py Scene1 # production (1080p 60fps)
manim -ql --format=png -s script.py Scene1 # preview still (last frame)
manim -ql --format=gif script.py Scene1 # GIF output
```
## Quality Presets
| Flag | Resolution | FPS | Use case |
|------|-----------|-----|----------|
| `-ql` | 854x480 | 15 | Draft iteration (layout, timing) |
| `-qm` | 1280x720 | 30 | Preview (use for text-heavy scenes) |
| `-qh` | 1920x1080 | 60 | Production |
**Text rendering quality:** `-ql` (480p15) produces noticeably poor text kerning and readability. For scenes with significant text, preview stills at `-qm` to catch issues invisible at 480p. Use `-ql` only for testing layout and animation timing.
## Output Structure
```
media/videos/script/480p15/Scene1_Intro.mp4
media/images/script/Scene1_Intro.png (from -s flag)
```
## Stitching with ffmpeg
```bash
cat > concat.txt << 'EOF'
file 'media/videos/script/480p15/Scene1_Intro.mp4'
file 'media/videos/script/480p15/Scene2_Core.mp4'
EOF
ffmpeg -y -f concat -safe 0 -i concat.txt -c copy final.mp4
```
## Add Voiceover
```bash
# Mux narration
ffmpeg -y -i final.mp4 -i narration.mp3 -c:v copy -c:a aac -b:a 192k -shortest final_narrated.mp4
# Concat per-scene audio first
cat > audio_concat.txt << 'EOF'
file 'audio/scene1.mp3'
file 'audio/scene2.mp3'
EOF
ffmpeg -y -f concat -safe 0 -i audio_concat.txt -c copy full_narration.mp3
```
## Add Background Music
```bash
ffmpeg -y -i final.mp4 -i music.mp3 \
-filter_complex "[1:a]volume=0.15[bg];[0:a][bg]amix=inputs=2:duration=shortest" \
-c:v copy final_with_music.mp4
```
## GIF Export
```bash
ffmpeg -y -i scene.mp4 \
-vf "fps=15,scale=640:-1:flags=lanczos,split[s0][s1];[s0]palettegen[p];[s1][p]paletteuse" \
output.gif
```
## Aspect Ratios
```bash
manim -ql --resolution 1080,1920 script.py Scene # 9:16 vertical
manim -ql --resolution 1080,1080 script.py Scene # 1:1 square
```
## Render Workflow
1. Draft render all scenes at `-ql`
2. Preview stills at key moments (`-s`)
3. Fix and re-render only broken scenes
4. Stitch with ffmpeg
5. Review stitched output
6. Production render at `-qh`
7. Re-stitch + add audio