Clips and panels for building Wieringa roofs
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Plastic clips to connect cards or printed panels at 72°, 108°, 144° angles for building Wieringa roofs.
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Model information
- Source
- Printables
- Category
- Math
- License
- Creative Commons — Attribution — Share Alike
This is a follow up to modular pieces for constructing Wieringa roofs, a way to represent a Penrose tiling, which you can read about elsewhere.
In this design, the only pieces you need to print are the plastic clips that hold flat rhombic panels together. The panels themselves can be cut out of cardstock, including old business cards. The panels can also be printed. I have provided two printable panels of different sizes, each 0.4mm thick, notched to hold the clips in place. There is a rhombus, 0.6mm thick and sized for business cards (2 inch height when lined up with one side of the card). It functions as a cutting guide. The cover photo shows a roof made of business cards.
The clips are printed as two pieces to avoid having to print a submillimeter gap. They fit together as shown.

They're 2mm thick. I found that this is sufficient with business cards as long as you double them up on edges. You can try adjusting it if they wobble too much. You will have to scale the printed panels in that case so the notches match in size.
Finally, this model does not actually enforce Penrose tiling conditions, and you can build other structures with it, probably including some polyhedra. If you want to make sure you are building a Wieringa roof, I recommend that you start with the earlier model, which enforces aperiodicity in the kite-dart base.