Gray-Scott symmetric hex tiles
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A collection of hex tiles with 120-degree symmetry and periodic boundaries.
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Model information
- Source
- Printables
- Category
- Math
- License
- Creative Commons — Attribution — Share Alike
These are symmetric patterns generated using a Gray-Scott reaction-diffusion system with hexagonal geometry and boundary conditions for various choices of parameters shown in the image. Each hexagon tiles with itself seamlessly, but they are not intended to tile with each other.
I generated height maps for these tiles with Python code available in my GitHub repo using a command line such as
gray_scott.py -f 0.0758 -k 0.0598 --du 0.4 --dv 0.2 -n 128 --rotate-tile --contrast-stretch --output-size 2048 --assemble-hex -i 4000
and converted them to STL using ImageToSTL.
You can explore parameters using this (Claude-coded) browsing tool.
They don't have any function, but can be used as coasters or decorative tiles. The are about 100mm in diameter. It takes me over 2 hours to print full size, but they can be scaled in your slicing software.
The blue renderings were made by importing the tiles into Blender.