Shout if there's a mistake! I'm no pattern writer but I've given it a go. The beauty of this style of constructing a hat is that you can choose any yarn weight you have to hand along with these guide measurements. I like working with Aran or worsted weight which is how I made the oatmeal coloured honeycomb hat. The baby/toddler sized red hat (see previous post) was made using chunky yarn.
As a very approximate guide I use a starting chain which measures 11" or 12" for an adult hat with a turn up brim. For a child's hat I would use a chain of 7" or 8". If you increase these dimensions you get a bit more of a slouchy hat or a deeper turn up.
An adult sized hat can be made using less than 100g of Aran weight yarn. The child sized one in chunky, I have found, uses slightly over 50g.
The best way to get to grips with how this honeycomb pattern works is to make a small baby/toddler hat with a starting chain of 25 using chunky yarn and a 7mm hook. This should produce a chain of approximately 8" long.
Work through the back loop (tbl) throughout.
Ch1 and Ch2 at beginning of rows are turning chains and do not count as stitches throughout.
Row 1: ch25
Row 2: (rs) ch1. (5 sl st, 5 htr) twice. 5 sl st. Turn.
Row 3: (ws) ch1. (5 sl st, 5 htr) twice, 5 sl st. Turn.
Row 4: ch1, 10 sl st, 5 htr, 5 sl st, 5 htr. Turn
Row 5 ch2, (5 htr, 5 sl st) twice. 5 sl st. Turn.
Repeat rows 2-5 until piece measures approximately 16" at widest part. Sew seam with wrong sides together. Gather stitches at top and secure on wrong side.
For adult hat: chain 40 or 45 using Aran weight yarn and 5.5mm hook. The chain should be roughly 11" or 12" long if you want either a slouchy beanie or a beanie with a turn up brim. Adjust accordingly if you just require a well fitted beanie with no turn up! If you've made the small hat as a trial run you'll know how the pattern works, just remember to sl st five stitches at the crown of the hat which makes it taper nicely and a little easier to gather. For an adult hat you'll need to repeat the pattern until the width, at the widest part, measures approx 18-20" depending on head size. As a guide my oatmeal honeycomb hat measured 18" before sewing up and my head is roughly 22" in diameter. With the give in the yarn this is an ideal fit.