Fractal curves

fractal composed of triangles

fractal and mathematical curve

3d fractal

function that is continuous everywhere but differentiable nowhere

plane fractal built from squares

space-filling curve

fractal constructible with L-systems

a particular example of a space-filling curve, discovered by Giuseppe Peano

curve whose image is dense within an open region of the plane

recursively defined sequence of continuous closed plane fractal curves

function which maps multidimensional data to one dimension while preserving locality of the data points

space-filling curve whose limit set is rep-7

continuous monotonic nonconstant function with zero derivative almost everywhere

infinity rep-tiles

space filling fractal curve

Wikimedia list article

An '''n-flake, polyflake, or Sierpinski n-gon', is a fractal constructed starting from an n-gon. This n-gon is replaced by a flake of smaller n-gons, such that the scaled polygons are placed at the vertices, and sometimes in the center. This process is repeated recursively to result in the fractal. Typically, there is also the restriction that the n''-gons must touch yet not overlap.

fractal curve