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These two coasters are patterned after the Laves graph which also happens to be an approximation of the double channels formed by the gyroid minimal surface.
The square coaster shows the standard orientation of the Laves graph, the hexagonal coaster shows the C3 axes of symmetry (along the diagonal of the unit cell.)
You could use these as coasters, but they’re really just intended to show how cool the Laves graph is.
Both will print without support, but you will likely get a small amount of failure under the overhangs of the hexagonal coaster. It is not visible and adding supports will likely mess things up more.
These coaster can also be purchased at: https://www.shapeways.com/shops/davemakesstuff
Here is a platter inspired by the same Laves graph: https://www.thingiverse.com/thing:4734763
Here are some more mathematically inspired coasters: https://www.thingiverse.com/thing:4766393
