What a great way to keep the grandchildren amused. Unfortunately, mine are all too old and my 'greats' are too young! I love symmetry - I would like a kaleidoscope again! I don't understand how it can be said with certainty that no two snowflakes are identical. I would have thought that the only statement that makes sense scientifically is 'So far, nobody appears to have found two snowflakes that were identical! 
I love mathematical problems and the beauty of numbers, especially those found in nature.