Brainfilling Curves
@fractalcurves.bsky.social
Jeffrey Ventrella: fractal curve artist and explainer of sublime doodles. fractalcurves.com brainfillingcurves.com
November 21, 2025 at 2:32 AM
November 12, 2025 at 4:54 AM
#fractals #curves #math #geometry #art #design #space-filling
This is a place-filling curve with 5-fold symmetry. Notice the many nested pentagons. Tell me what you think of this conjecture: all self-similar plane-filling curves with local 5-fold rotational symmetry are necessarily aperiodic.
This is a place-filling curve with 5-fold symmetry. Notice the many nested pentagons. Tell me what you think of this conjecture: all self-similar plane-filling curves with local 5-fold rotational symmetry are necessarily aperiodic.
November 7, 2025 at 10:14 PM
#fractals #curves #math #geometry #art #design #space-filling
Four plane-filling curves of the order 7 family. Gosper curve at the bottom, 7-dragon at bottom-left. The large one is "Gosper Dragon", which I discovered. They all have "Gosper skin" and so they can tessellate. fractalcurves.com
Four plane-filling curves of the order 7 family. Gosper curve at the bottom, 7-dragon at bottom-left. The large one is "Gosper Dragon", which I discovered. They all have "Gosper skin" and so they can tessellate. fractalcurves.com
November 6, 2025 at 7:51 PM
#fractals #curves #math #geometry #art #design #space-filling
Four plane-filling curves of the order 7 family. Gosper curve at the bottom, 7-dragon at bottom-left. The large one is "Gosper Dragon", which I discovered. They all have "Gosper skin" and so they can tessellate. fractalcurves.com
Four plane-filling curves of the order 7 family. Gosper curve at the bottom, 7-dragon at bottom-left. The large one is "Gosper Dragon", which I discovered. They all have "Gosper skin" and so they can tessellate. fractalcurves.com
just two small changes
November 5, 2025 at 3:00 AM
just two small changes
#fractals #curves #design #space-filling #math
This space-filling curve is rendered at low iteration so the details are visible. When iterated to more fractal levels, the details become smaller. No matter how resolved, the curve is always self-avoiding. Notice the dense areas. A curious property.
This space-filling curve is rendered at low iteration so the details are visible. When iterated to more fractal levels, the details become smaller. No matter how resolved, the curve is always self-avoiding. Notice the dense areas. A curious property.
November 4, 2025 at 2:12 AM
#fractals #curves #design #space-filling #math
This space-filling curve is rendered at low iteration so the details are visible. When iterated to more fractal levels, the details become smaller. No matter how resolved, the curve is always self-avoiding. Notice the dense areas. A curious property.
This space-filling curve is rendered at low iteration so the details are visible. When iterated to more fractal levels, the details become smaller. No matter how resolved, the curve is always self-avoiding. Notice the dense areas. A curious property.
#fractals #curves #math #geometry #art #design #space-filling
This is "Brainfiller"- the mascot of my book "Brainfilling Curves", and one of the designs that will be explained in a new book I am starting to write about the art and math of plane-filling curves. More to come. The adventure begins!
This is "Brainfiller"- the mascot of my book "Brainfilling Curves", and one of the designs that will be explained in a new book I am starting to write about the art and math of plane-filling curves. More to come. The adventure begins!
November 2, 2025 at 8:24 PM
