Snowflakes start their life in a a cold cloud. Its small water droplets are below zero, supercooled. The supercooled state is metastable. If a droplet freezes then its vapour pressure is lower than that of the surrounding drops. The crystal grows and surrounding drops evaporate to feed the growth.
The growth is not simple and regular hexagonal prisms rarely reach a large size – when they do we see halos. More often, instabilities set in. The edges of facets grow more rapidly forming dendrites. Dendrites grow their own dendrites to give the beauty, symmetry and intricacy of a snow flake.
What happens depends on many factors like humidity and temperature. For more about it see Libbrecht’s review of snow crystal physics.
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