All Plane-filling Curves (using edge-replacement)
by Jeffrey Ventrella






This family corresponds to a Gaussian integer with norm 9. Since it is a prime, all generator segments are length 1.

(This list is not yet complete).
name: Original Peano Curve

attribution: Giuseppe Peano

reference:The Fractal Geometry of Nature

comment:
name: Peano Right Triangle

attribution: Jeffrey Ventrella

reference:fractalcurves.com

comment:
name:

attribution: Jeffrey Ventrella

reference:

comment: This is the result of flipping every y value of the Peano Right Triangle Generator
name:

attribution: Jeffrey Ventrella

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comment: This is the result of flipping every y value of the Peano Right Triangle Generator
name:

attribution: Jeffrey Ventrella

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comment: This is the result of flipping both the x and y values of the Peano Right Triangle Generator
name:

attribution: Jeffrey Ventrella

reference:

comment:
name:

attribution: Jeffrey Ventrella

reference:

comment:
name:

attribution: Jeffrey Ventrella

reference:

comment:
name:

attribution: Jeffrey Ventrella

reference:

comment:
name:

attribution: Jeffrey Ventrella

reference:

comment:
name:

attribution: Jeffrey Ventrella

reference:

comment:
Below is the "Square Koch Curve". It is not plane-filling, but it is a well-known curve,
and it is a member of the 9G family.
name: Square (or Quadradic) Koch Curve

attribution: Benoit Mandelbrot

reference:

comment:
The First Nine Families



















fractalcurves.com