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Ventrella Fractal Curve Designs

Artworks by Jeffrey Ventrella based on his original fractal algorithms



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Title
Date Archived
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Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 34

favorite 0

comment 0

This image is based on a fractal curve.
Topics: fractal, curve, design, algorithm
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 39

favorite 0

comment 0

fractal curve in the style of Dr. Suess
Topics: fractal curve, design
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 403

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comment 0

this is a single continuous fractal curve
Topic: fractal curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 54

favorite 0

comment 0

spacefilling fractal curve
Topic: fractal curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 20

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comment 0

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
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 13

favorite 0

comment 0

This is a fractal curve that fills a golden triangle
Topics: space-filling curve, fractal
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 43

favorite 0

comment 0

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
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 19

favorite 0

comment 0

This image was created with an original software algorithm and then colorized using an image manipulation application.
Topics: fractal curve, design
Ventrella Fractal Curve Designs
by jeffrey ventrella
image

eye 42

favorite 0

comment 0

This fractal curve was shown at the Bridges Art and Math conference in Linz, Austria in 2019. 
Topic: fractal curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 62

favorite 1

comment 0

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
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 11

favorite 0

comment 0

fractal curve art
Topic: fractal curve design
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 14

favorite 0

comment 0

This is a plane-filling fractal curve. Check out more curves at fractalcurves.com
Topic: fractal curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 37

favorite 0

comment 0

see fractalcurves.com
Topic: fractal curve using multiple generators
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 13

favorite 0

comment 0

fractal curve-based artwork
Topic: fractal curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 38

favorite 0

comment 0

A plane-filling fractal curve (featured in fractalcurves.com)
Topic: space filling fractal curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 14

favorite 0

comment 0

see fractalcurves.com
Topic: fractal curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 9

favorite 0

comment 0

fractal curve-based artwork
Topic: fractal curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 53

favorite 0

comment 0

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
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 33

favorite 0

comment 0

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
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 32

favorite 0

comment 0

This is a self-avoiding plane-filling fractal curve on a triangular initiator. More info at fractalcurves.com
Topic: plane-filling curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 15

favorite 0

comment 0

a fractal curve created with an original software algorithm and then colored with an image-processing application
Topic: fractal curve art
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 34

favorite 0

comment 0

This is a self-avoiding fractal curve with local five-fold symmetry at many scales. More at fractalcurves.com
Topic: fractal curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 52

favorite 0

comment 0

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
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 17

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comment 0

a gasket curve based on pentagonal symmetry 
Topic: fractal curve art
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 19

favorite 0

comment 0

see fractalcurves.com
Topic: spacefilling curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 42

favorite 0

comment 0

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
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 11

favorite 0

comment 0

fractal curve design
Topics: fractal curve, algorithmic
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 19

favorite 0

comment 0

This is a plane-filling fractal curve that is based on the Dragon of Eve
Topic: fractal curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 5

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comment 0

fractal curve-based design
Topic: fractal curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 23

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comment 0

This is a fractal curve designed by Jeffrey Ventrella. It is described here:  http://www.fractalcurves.com/
Topics: fractal curve, plane-filling curve, algorithm
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 22

favorite 0

comment 0

fractal curve art
Topic: fractal curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 5

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comment 0

a fractal curve with color enhancement 
Topics: fractal curve, art, design
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 27

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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
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 18

favorite 0

comment 0

fractal curve-based artwork
Topic: fractal curves
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 87

favorite 0

comment 0

This is a plane-filling fractal curve I discovered.
Topics: plane-filling, self-avoiding, fractal curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 18

favorite 1

comment 0

This is a stylized plane-filling fractal curve.  It is described in the book, The Family Tree of Fractal Curves
Topic: fractal curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 33

favorite 0

comment 0

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
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 9

favorite 0

comment 0

see fractalcurves.com
Topic: spacefilling curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 6

favorite 0

comment 0

fractal curve design
Topic: fractal curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 6

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comment 0

fractal art
Topics: fractal curve, art
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 24

favorite 1

comment 0

two fractal curves mating
Topics: fractal curve, design
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 17

favorite 0

comment 0

fractal artwork
Topic: fractal curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 8

favorite 0

comment 0

fractal curve art
Topic: fractal curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 32

favorite 0

comment 0

see fractalcurves.com
Topic: self-avoiding curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 26

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comment 0

This curve is explained in fractalcurves.com
Topics: fractal curve, geometry, plane-filling
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 34

favorite 0

comment 0

This is a self-crossing fractal curve. It is described in the book, The Family Tree of Fractal Curves
Topic: fractal curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 12

favorite 0

comment 0

This image was created with a single, overlapping fractal curve. fractalcurves.com
Topic: fractal curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 26

favorite 0

comment 0

This image shows a tessellation of three plane-filling curves that are variations of the Terdragon. 
Topics: fractal curve, Terdragon
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 46

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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
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 17

favorite 0

comment 0

fractal curve design
Topics: fractal curve, algorithmic, design
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 50

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comment 0

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
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 7

favorite 0

comment 0

This is a stylized space-filling curve with pentagonal symmetry. It fills a golden triangle. 
Topics: fractal curve, fractal art, space-filling curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 19

favorite 0

comment 0

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
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 40

favorite 0

comment 0

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
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 42

favorite 0

comment 0

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
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 73

favorite 2

comment 0

This is a fractal curve designed by Jeffrey Ventrella. It is featured here:  http://www.fractalcurves.com/
Topics: fractal curve, fractal, curve, algorithm
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 21

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comment 0

This plane-filling curve is explained in fractalcurves.com
Topic: fractal curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 4

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comment 0

Fractal curve design
Topic: fractal curve
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 192

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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
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 19

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comment 0

manipulated fractal curve art
Topics: fractal curve, design
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 12

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comment 0

fractal curve design
Topics: fractal curve, design
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 19

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comment 0

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
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 23

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comment 0

this is a glitchy design made with fractal curves and color post-processed
Topic: fractal curve-based art
Ventrella Fractal Curve Designs
by Jeffrey Ventrella
image

eye 18

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comment 0

fractal curve design
Topic: fractal curve art