This coaster looks like made from a flexible fabric. It is a print in place object. When the print is finished you are done.

I have created several designs before staying with this one. It prints without any problems on my printer every time. The fabric will not mess up. When placed on a flat ground it will always arrange itself nicely. The elements of the fabric interlock on each side but still allow for some movement to make the structure flexible.

List of objects:

Fabric coaster pad V1.gcode

Regular fabric coaster pad with the size 9.0 x 9.0 cm (3.5 x 3.5 inches).

Fabric coaster pad frame V1.gcode

If you are after a more serious looking coaster with a frame, consider printing this object.
Framed fabric coaster pad with the size 10.4 x 10.4 cm (4.1 x 4.1 inches).

Fabric coaster pad huge V1.gcode

Big sized fabric coaster pad. Suitable for larger cups or just to get a nice flexible piece of 3D printed fabric.
Huge fabric coaster pad with the size 16.5 x 16.5 cm (6.5 x 6.5 inches).

If you choose a brighter colour, the fascinating structure of the single fabric elements is more visible.

If you like the fabric coaster pad, check out the fabric box:
https://www.thingiverse.com/thing:6587273

Enjoy printing this object.