Fractals07 of 113
Space-filling curves
Peano 1890, Hilbert 1891, Moore 1900, Gosper 1973
A single unbroken line that, in the limit, passes through every point of a square or a hexagonal region. Peano found the first in 1890, and it upset the mathematicians who thought a curve had to be thin. The red head draws the line in order.
Hilbert: A → +BF−AFA−FB+, B → −AF+BFB+FA−
On mathcurve.com as Courbes remplissantes
Variant