Back to skills
SKILL.md
Fractals
ASecurityDomain: `trinity` | Depth: `axiom`
- 4 stars
- 0 votes
- 0 copies
- 1 view
- Added September 12, 2026
Works with
Security analysis
100/100npx -y skills add garochee33/DSH --skill fractals --agent claude-codeAre you the author of Fractals?
Add the live security badge to your README. It updates with every re-scan.
[](https://www.skillsdirectory.com/skills/garochee33-fractals-dsh)# Skill: Fractals
Domain: `trinity` | Depth: `axiom`
## Capabilities
- Mandelbrot and Julia set computation
- L-system string rewriting and geometry generation
- Iterated Function Systems (IFS)
- Fractal dimension calculation (Hausdorff, box-counting)
- Strange attractors: Lorenz, Rössler, Clifford
- Self-similar recursive structures
- Fractal noise: Perlin, simplex, fractional Brownian motion
## Mathematical Foundation
- Fractals exhibit self-similarity across scales
- Fractal dimension D: non-integer, measures complexity
- Mandelbrot: z_{n+1} = z_n² + c, iterate until |z| > 2
- L-systems: formal grammar for recursive geometric growth
- IFS: contractive affine transformations with fixed-point attractor
## Libraries
| Library | Purpose |
|------------|---------|
| numpy | Array-based iteration |
| matplotlib | Rendering |
| sympy | Symbolic recursion |
## Module
`agents/skills/fractals.py`
## Key Functions
- `mandelbrot(width, height, max_iter)` — iteration count array
- `julia(c, width, height, max_iter)` — Julia set for constant c
- `lsystem(axiom, rules, depth)` — expand L-system string
- `lorenz(steps, dt)` — Lorenz attractor trajectory
- `fractal_dimension(points)` — box-counting dimension
- `ifs(transforms, n_points)` — IFS attractor point cloud
Attribution
Comments
Loading comments…