First, not all snowflakes are perfectly symmetrical. In fact, the vast majority of snowflakes are asymmetrical. However they appear to be because on a microscopic scale, each side of a crystal being is such close proximity to the other will produce similar results because each molecule was formed under the same environmental conditions simultaneously.
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Snowflakes have hexagonal shapes because of the way water molecules arrange themselves when freezing. As water vapor cools and condenses, water molecules bond together in a hexagonal pattern due to the molecular structure of water. This hexagonal structure is further influenced by the temperature and humidity conditions during the snowflake's formation.
Snowflakes aren't always shaped like hexagons - that is just the idealistic portrayal that we associate with the word 'snowflake', just as ran and tears do not fall in the perfect little pointed tear drop shapes that we often associate them with. Snowflakes form in numerous different shapes, it's really quite random - take a look at photos of snowflakes under magnifying glasses, and you'll see for yourself. As to why people immediately associate snowflakes with those perfect, pointy, hexagonal shapes, well - that's all down to psychology. I would suggest it would be because we prefer to think of things in their idyllic forms, not exactly as they appear in nature, as these idyllic forms tend to be more aesthetically pleasing.
snowflakes aren't all hexagonal. they have different shapes, sizes, and patterns.
Frozen precipitation in the form of white or translucent hexagonal ice crystals that fall in soft, white flakes.
snow
No.....No two snow flakes are exactly alike. They all have something unique about each and every one of them. There are similar shapes - 3 and 6 sided - and theoretically, you could have many of the same shape. That would be if they fell in the same manner, encountering the same amount of dust and moisture. See attached links.
Snow flakes
No all snow flakes are different