the mathematics involved in making a 3-d snowflake involves symmetry
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Probably fractal geometry.
Make sure you follow all of the rules of the field of mathematics for which you are making the model.
it can tell you how many shapes there will be (say if you fold it 4 times and cut 12 shapes into it then it gives you 48 shapes in the snowflake because there were really 4 shapes made when you cut 1 shape due to the fact that it had 4 layers)
Because when we cut the shapes it's related to maths
Well every snowflake is different so you cant really tell someone that there is 11 points of a snowflake, that would be inaccurate.