News from Mathnasium of South Jordan
Symmetry and Snowflakes
Jan 30, 2020
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1- Counter-clockwise rotation by 120° | 2- Reflection through a vertical axis | 3- Reflection axes of a snowflake | Source
Snowflakes have also reflectional symmetry. If we put a mirror in the middle of a snowflake, there will be a reflection. For a snowflake, we can put a mirror along six different axes. With this, we can say that a snowflake has 12 symmetries- six from reflections, six from rotations. We can also claim that a combination of any number of transformations will give us the same shape. For instance, we can rotate our snowflake 60° two or three times in a row and flip it over, then it will be unchanged.
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