@fractalcurves.bsky.social
Jeffrey Ventrella: fractal curve artist and explainer of sublime doodles. fractalcurves.com brainfillingcurves.com
#fractals #spacefilling #curves #brain
Images for my book proposal. More deets coming...
#fractals #curves #math #geometry #art #design
19.11.2025 04:43 — 👍 3 🔁 0 💬 0 📌 0
16.11.2025 04:55 — 👍 0 🔁 0 💬 0 📌 0
#fractals #curves #math #geometry #art #design
This is a variation of the Gosper curve I discovered and showed in BrainFillingCurves.com
#fractals #curves #math #geometry #art #design
drawn with one line.
one line
13.11.2025 04:23 — 👍 0 🔁 0 💬 0 📌 0
#fractals #curves #math #geometry #art #design #space-filling
12.11.2025 04:54 — 👍 4 🔁 1 💬 0 📌 0
11.11.2025 05:06 — 👍 0 🔁 0 💬 0 📌 0
#fractals #curves #math #geometry #art #design #space-filling
Plane-filling curves of the order 4 family, whose generators consists of segments with length 1 or square root of 2. This image will be published in a book soon - TBA.
#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.
Good question! It's a closed curve but I made it by stitching-together three copies of an open curve, rotated +-120 degrees. (I was just now trying to find the original generator but I don't remember where I got it! Now I'm curious.)
07.11.2025 03:14 — 👍 1 🔁 0 💬 0 📌 0
#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
just two small changes
05.11.2025 03:00 — 👍 1 🔁 0 💬 0 📌 0
#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.
#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!
#fractals
Hello World.
