I guess I would like to know from someone who thought such things were indications of the workings of a deity what sorts of patterns would count to them as not being indications of a deity. I'm inclined to think that some sort of order is a simple requirement of there being a universe at all, and so it seems that some indications of such order--whether highly complex or simple--would inevitably be evident in that universe. As a result, it is difficult for me to see why some particular patterns would indicate anything religiously significant--after all, it is not as if the patterns themselves are divine signatures or fingerprints or the divine equivalent of DNA evidence. That one can have a religious response to such things, as Richard Heck proposes, I don't doubt; but that such a response is somehow rationally supportable, I do doubt.
Some would consider mathematical patterns found in nature, such as the Fibonacci Sequence and the Golden Ratio, as indications of a higher deity, God if you will. Is this a sound belief?