Space-filling curve
Curva de llenado del espacio
- Date
- 1890 · confidence high
- Place
- Turin, Piedmont, Italy
- Credited to
- Giuseppe Peano
- Field
- Knowledge & symbols
What was discovered
Mathematical curve whose path covers an entire higher-dimensional region, discovered by Giuseppe Peano, which challenged the era's geometric intuitions about dimension.
What it led to
- Development of modern dimension theory in topology
- Hilbert curves and other space-filling curve variants
- Applications in data compression and spatial indexing
- Boost to rigor in late-19th-century mathematical analysis