Magic ring, 8 sc. [8]. Round 2: (sc, chain 2) 8 times, slip stitch to join. [8 spokes begun]. Round 3: into each chain-2 space work (sc, chain 3). [8 chain-3 arches].
Continue the web outward: each subsequent round works (sc into the chain space from the previous round, then chains 1 more than the previous round). So round 4 uses chain-4 spaces, round 5 uses chain-5 spaces, and so on. The web expands naturally and the open spaces get larger as you move outward, which is exactly the effect you want.
Continue until the mat measures 30 cm across. The number of rounds depends on your yarn thickness and hook size; at dk cotton and a 3 mm hook, expect 12 to 14 rounds.
Final round: sc around all the outer chain spaces to create a firm outer edge. Slip stitch to join. Fasten off and weave in all tails. Press the mat flat under a heavy book for 15 minutes if it domes slightly in the centre.