I used the method to make my version. Here's how I did it. ( Yay ! It's my first tutorial!) I'ld rather use lots of pics to do the explanation for me :~D
Firstly, cut one 8" hexagon( this will be the back piece/edge trimming) , three 6" hexagons (I used old t-shirt for a padded feel) and 1.5" strips of scraps.
Next, stack the three pieces of 6" hexagons together. Place a square piece of embroidery or any fabric of choice at the center.
Then, place the strips like so and stitch .
Place the small hexagon on the big one.Fold the big hexagon side edge in half.Fold again and pin.
Continue on the next edge. Pin the corners down.Repeat all sides.
Have a nice time making your hexagon coasters!
p.s. If you find some pics too small to see the details, click on the image to enlarge.