Besides paper, snowflakes can be made in many other ways. This blue one was tatted by a friend.
And this snowflake was crocheted, also by a friend. I don't tat or crochet, but I do cross stitch.
I love stitching snowflakes. One year I made a bunch of them one after the other. This is the only one I have left. All the others where given away.
They are simple to make with a basic formula (formula, not pattern). I start by cross stitching a big plus sign - the size doesn't matter. Then I either cross stitch or backstitch an X over the top of it. Then, all you need to do is start adding backstitches, beads and other embellishments until it's complete. Voila! Almost instant snowflake.