Chain 6, then join the ends together with a slip stitch.
Chain 6, then work a triple crochet stitch into the ring. Don't work the stitch into the chain, but under the chain. Repeat this 11 times. You will have 12 triple crochet stitches in a ring. Slip stitch into the chain space of the first stitch of the round.
Chain 3, work a double crochet stitch into the same chain space, chain 2 and work two more double crochet stitches into the same space.
Work three double crochet stitches into the next chain space.
Work 2 double crochet stitches, chain 2 and 2 more double crochet stitches into the next chain space.
Repeat steps 4 and 5 four more times. Each chain 2 space will become a corner of the hexagon and the sides will consist of 7 double crochet stitches.
Work a slip stitch into the third chain of the initial chain 3 of the round. Fasten off and weave in the ends.