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







This family corresponds to a Gaussian integer with norm 5. Since it is a prime, all generator segments have length 1.
name: Mandelbrot's Quartet

attribution: Benoit Mandelbrot

reference:The Fractal Geometry of Nature

comment: This is a self-avoiding curve.
name: Inner-flip Quartet

attribution: Jeffrey Ventrella

reference:fractalcurves.com

comment: Same as Mandelbrot's Quartet except that each segment is flipped along x.
name: "Ventrella's 5-Dragon"

attribution: Jeffrey Ventrella

reference:Tom Karzes' page

comment:
name:

attribution: Jeffrey Ventrella

reference:fractalcurves.com

comment: Same as the 5-Dragon except each segment is flipped in x
name:

attribution: Jeffrey Ventrella

reference:fractalcurves.com

comment: This is a self-avoiding curve.
name:

attribution: Jeffrey Ventrella

reference:fractalcurves.com

comment: This is a self-avoiding curve.
name:

attribution: Jeffrey Ventrella

reference:fractalcurves.com

comment:
name:

attribution: Jeffrey Ventrella

reference:fractalcurves.com

comment:
name:

attribution: Jeffrey Ventrella

reference:fractalcurves.com

comment:
name:

attribution: Jeffrey Ventrella

reference:fractalcurves.com

A variation of this curve is explained by Christoph Bandt, Dmitry Mekhontsev and Andrei Tetenov.

comment:
name:

attribution: Jeffrey Ventrella

reference:fractalcurves.com

A variation of this curve is explained by Christoph Bandt, Dmitry Mekhontsev and Andrei Tetenov.

comment:
name:

attribution: Jeffrey Ventrella

reference:fractalcurves.com

comment:
name:

attribution: Jeffrey Ventrella

reference:fractalcurves.com

comment:
name:

attribution: Jeffrey Ventrella

reference:fractalcurves.com

comment:
The First Nine Families



















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