Remixed NASA chainmail model and turned it into a hexagon shaped coaster. I shrunk it down vertically about 70% to 5 mm. Should be easy to print. I would not recommend printing at a low resolution.

(btw the stringing in the photos is probably my fault. I forgot to disable some settings)

Large (pictured):

May seem a little large for small cups, but for wider cups and bottles it seems to be a good size. 

Max length approx 11.5 cm

Min length approx 10 cm

Small:

If Large is too big for your liking, I have included a smaller size

Max length approx 9.5 cm

Min length approx 8 cm

Coaster Holder

@adityakamath_493158 has created a holder for 6 of the small-sized coasters, which can be found here: https://www.printables.com/model/571711-holder-for-6x-hex-nasa-fabric-coasters