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تقارن دورانی
Thus, underlying the twelve symmetries of the snowflake pattern of marbles that we saw emerge at the bottom of the box was a vastly greater number of sym- metries intrinsic to the marbles themselves: an infinite number of rotational symmetries and 5,040 permutation symmetries.
The symmetries that are responsible for angular momentum conservation are of a kind I have already mentioned, namely "rotational symmetries" (the kind of symmetry a sphere has).
What these rotational symmetries say is that the laws of nature do not distinguish one direction in space from another.
In sum, we have traced several patterns found in planetary motion to the fact that angular momentum is conserved, and that in turn to the fact that the laws of physics have rotational symmetries.
But where do all those sym- metries-the rotational symmetries, the local Lorentz symmetry, and so on- come from?
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