As metmom has explained, you cannot prove that there is no underlying intelligence behind the formation of snowflakes. In fact, metmom's assertion is unfalsifiable because it is entirely untestable and, therefore, worthless.
Indeed. I'm just hoping for an amusing explanation of how snow violates the laws of thermodynamics.
Snowflakes are just evidence that water molecules behave according to the laws of chemistry and physics. They are not evidence that order and complexity can arise with no intelligence as its source. The only way you can use *nature* to demonstrate that order and complexity can arise without intelligence behind it, is to start with the premise that there was no intelligence behind the formation of the universe and since that's what is trying to be determined, you cannot use it to prove itself.