This image is based on a fractal curve.

Topics: fractal, curve, design, algorithm

fractal curve in the style of Dr. Suess

Topics: fractal curve, design

this is a single continuous fractal curve

Topic: fractal curve

spacefilling fractal curve

Topic: fractal curve

This is a branching fractal that fills the interior of the Koch Snowflake. It was designed by Jeffrey Ventrella using a technique described in The Family Tree of Fractal Curves: http://www.fractalcurves.com/familytree/

Topics: fractal curve, Koch curve, space-filling

This is a fractal curve that fills a golden triangle

Topics: space-filling curve, fractal

This is an illustration showing how the Harter-Heighway dragon curve can be expanded to its "higher relatives" by following a power-of-two curve on the complex plane. This is explained in the book The Family Tree of Fractal Curves: http://www.fractalcurves.com/familytree/

Topics: fractal curve, dragon curve, complex plane, power of two

This image was created with an original software algorithm and then colorized using an image manipulation application.

Topics: fractal curve, design

This fractal curve was shown at the Bridges Art and Math conference in Linz, Austria in 2019.

Topic: fractal curve

This is a diagram showing the generator for the Brainfiller curve. It is from the book The Family Tree of Fractal Curves: http://www.fractalcurves.com/familytree/

Topics: fractal curve, spacefilling, generator

fractal curve art

Topic: fractal curve design

This is a plane-filling fractal curve. Check out more curves at fractalcurves.com

Topic: fractal curve

see fractalcurves.com

Topic: fractal curve using multiple generators

fractal curve-based artwork

Topic: fractal curve

A plane-filling fractal curve (featured in fractalcurves.com)

Topic: space filling fractal curve

see fractalcurves.com

Topic: fractal curve

fractal curve-based artwork

Topic: fractal curve

This is a tessellation of plane-filling curves of the same family, corresponding to the Eisenstein integer with norm 7. It is explained in the book, The Family Tree of Fractal Curves

Topic: fractal curve tessellation

This is a design created with a single curly line. It is based on a plane-filling fractal curve generator. It is described in the book, The Family Tree of Fractal Curves.

Topic: fractal curve

This is a self-avoiding plane-filling fractal curve on a triangular initiator. More info at fractalcurves.com

Topic: plane-filling curve

a fractal curve created with an original software algorithm and then colored with an image-processing application

Topic: fractal curve art

This is a self-avoiding fractal curve with local five-fold symmetry at many scales. More at fractalcurves.com

Topic: fractal curve

This is a plane-filling fractal curve designed by Jeffrey Ventrella. It is featured here: http://www.fractalcurves.com/

Topics: fractal curve, Gosper Curve, plane-filling

a gasket curve based on pentagonal symmetry

Topic: fractal curve art

see fractalcurves.com

Topic: spacefilling curve

This is a plane-filling fractal curve designed by Jeffrey Ventrella. It is featured here: http://www.fractalcurves.com/

Topics: fractal curve, plane-filling curve

fractal curve design

Topics: fractal curve, algorithmic

This is a plane-filling fractal curve that is based on the Dragon of Eve

Topic: fractal curve

fractal curve-based design

Topic: fractal curve

This is a fractal curve designed by Jeffrey Ventrella. It is described here: http://www.fractalcurves.com/

Topics: fractal curve, plane-filling curve, algorithm

fractal curve art

Topic: fractal curve

a fractal curve with color enhancement

Topics: fractal curve, art, design

This is a plane-filling fractal curve designed by Jeffrey Ventrella. It fills the Gosper Island. It is one continuous curve that crosses itself. Similar curve are described here: http://www.fractalcurves.com/

Topics: fractal, curve, plane-filling curve, algorithm

fractal curve-based artwork

Topic: fractal curves

This is a plane-filling fractal curve I discovered.

Topics: plane-filling, self-avoiding, fractal curve

This is a stylized plane-filling fractal curve. It is described in the book, The Family Tree of Fractal Curves

Topic: fractal curve

This is a plane-filling fractal curve designed by Jeffrey Ventrella. It is featured here: http://www.fractalcurves.com/

Topics: fractal curve, plane-filling curve

see fractalcurves.com

Topic: spacefilling curve

fractal curve design

Topic: fractal curve

fractal art

Topics: fractal curve, art

two fractal curves mating

Topics: fractal curve, design

fractal artwork

Topic: fractal curve

fractal curve art

Topic: fractal curve

see fractalcurves.com

Topic: self-avoiding curve

This curve is explained in fractalcurves.com

Topics: fractal curve, geometry, plane-filling

This is a self-crossing fractal curve. It is described in the book, The Family Tree of Fractal Curves

Topic: fractal curve

This image was created with a single, overlapping fractal curve. fractalcurves.com

Topic: fractal curve

This image shows a tessellation of three plane-filling curves that are variations of the Terdragon.

Topics: fractal curve, Terdragon

This is an illustration showing the similarities of plane-filling curves. Other fractal curves like these can be found here: http://www.fractalcurves.com/

Topics: fractal curve, plane-filling curve

fractal curve design

Topics: fractal curve, algorithmic, design

This is a fractal curve designed by Jeffrey Ventrella. It partially fills the inside of the Koch snowflake curve. It is featured here, along with other similar curves: http://www.fractalcurves.com/

Topics: fractal curve, plane-filling curve, algorithm

This is a stylized space-filling curve with pentagonal symmetry. It fills a golden triangle.

Topics: fractal curve, fractal art, space-filling curve

These are the plane-filling curves of order 5 as described in The Family Tree of Fractal Curves: http://www.fractalcurves.com/familytree/

Topic: fractal curve

This is a plane-filling curve that is related to the Gosper curve. It is included in the book The Family Tree of Fractal Curves: http://www.fractalcurves.com/familytree/

Topics: fractal curve, spacefilling, Gosper curve

This is a plane-filling fractal curve designed by Jeffrey Ventrella. It is featured in http://www.brainfillingcurves.com/

Topics: fractal, curve, plane-filling curve, algorithm

This is a fractal curve designed by Jeffrey Ventrella. It is featured here: http://www.fractalcurves.com/

Topics: fractal curve, fractal, curve, algorithm

This plane-filling curve is explained in fractalcurves.com

Topic: fractal curve

Fractal curve design

Topic: fractal curve

This fractal curve is featured in the book "Brainfilling Curves" (fractalcurves.com). It has the overall shape of the Ter-Dragon. The curve was discovered by Jeffrey Ventrella using a genetic algorithm that searches for plane-filling curves. It is an example of a self-crossing curve, whereby the crossover-points increase exponentially with each advancement of the teragon (increase of fractal levels). Colorization was added to emphasize the self-similarity in the compartments created...

Topics: plane-filling fractal curve, mathematical art, recursive image, self-similar, ter-dragon

manipulated fractal curve art

Topics: fractal curve, design

fractal curve design

Topics: fractal curve, design

This is a self-avoiding fractal curve that has local five-fold rotational symmetry at many scales. More at fractalcurves.com

Topics: fractal curve, five-fold symmetry

this is a glitchy design made with fractal curves and color post-processed

Topic: fractal curve-based art

fractal curve design

Topic: fractal curve art