I have not seen a snowflake pattern, but have seen a filamentous web-like appearance, and a fern-like appearance.
This one, if it was not symetrical would look fern-like. In fact the second smaller one does look like a fern. The weblike fungus is, I think, the same thing just expanded to the point where it is crisscrossing over itself repeatedly. I have had lens with both types of patterns in them, the web looking one was about 90% covered. They are quite attractive, if you don not have hundreds of dollars invested in the darn fungus. The one that was so bad was given to me, a 50mm f/1.4 Fujinon, so I could enjoy looking at it, it had spread to the point where it was on the shutter of the camera as well. On the surface of something they have a kind of white waxy look to them. When they are very small they just look like a white blotch with no noticeable pattern.
There are probably other fungi that have a different look to them. In fact here is the dictionary definition:
fungus
fungus (fùng´ges) noun
plural fungi (fùn´jì, fùng´gì) or funguses
Any of numerous eukaryotic organisms of the kingdom Fungi, which lack chlorophyll and vascular tissue and range in form from a single cell to a body mass of branched filamentous hyphae that often produce specialized fruiting bodies. The kingdom includes the yeasts, molds, smuts, and mushrooms.
[Latin; perhaps akin to Greek spongos, sphongos, sponge.]
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