So, had a look at the commercial solution(s) - Helinox have a chair 'ground-sheet' (I think trampoline (tramp) is a better name) but it weighs 150g so thought I'd try a diy solution.
I've used some leftover tyvek. Simple construction - rectangular piece with 4 corner triangular gussets.
I cut the rectangle and ironed (very cool iron) a hem on all sides. Then cut 4 squares for the gussets. Fold each square diagonally in half (to make a double layer triangle). Not sure if necessary but I did sew a reinforcing rectangle to the top of each triangle (folded over the top edge and sewn to the triangle - making 4 layers).
Slip a triangle under the hem of a corner then sew in place. Continue sewing along the hem to near the next corner and slip the next triangle in. Continue to sew around the rectangle until all triangles are sewn in. Then sew around the rectangle a second time for reinforcement.
The only tricky bit is getting the dimensions correct - too big and the tramp will fall off. Too small and you can't get the tramp on all 4 legs. I was successful on the second try (the 1st was too short in length so I cut it in half and sewed a length of webbing in between - it now fits but weighs 14g
