fractal geometry
Infinitely recursive patterns
Fractal geometry is a branch of mathematics dealing with irregular shapes that display self-similarity—patterns that repeat at every scale.
Unlike classical geometry's smooth lines and curves, fractals describe the jagged complexity of coastlines, clouds, mountain ranges, and blood vessels.
Fractal geometry revolutionized how scientists model natural phenomena.
- Hausdorff dimensionMetric for fractal complexity
- self-similarityIdentical at every magnification
- computer graphicsTechnology for digital imagery
- iterationRepeated procedural pass
- strange attractorFractal pattern in chaos
complexity · recursion · infinity · attractors · chaos theory · topology · mathematics · tessellation · signal processing · emergence · lightning · symmetry · organic · scale · dimension · zoom · chaos · patterns
- mathematicsalgebra, arithmetic, calculus, number, addition
- geometryangles, circles, angle, shapes, lines
- 1970s ScienceVoyager missions, CT scan, recombinant DNA, gene splicing, microprocessor
- French MathDescartes, Fermat, Pascal, Laplace, Grothendieck