Hi Veronika
I think most rosegrounds are a good examples of an object with
rotational symmetry as well as mirror symmetry - you can rotate the the
lace a quarter or a half turn & the ground still looks exactly the same....
Beth
In a sunny but quite cold Cheshire, England
Veronika wrote:
I am studying lace grounds patterns that
have symmetry. I have been able to find many examples with mirror reflection
in them. Roseground is a good example which can be reflected in four mirrors
that meet in the center of a square (see the following picture:
https://tesselace.com/symmetry/). What I am looking for is grounds that have
rotation symmetry - like a pinwheel. That is grounds that can be turned around
in a quarter, third or half of a circle and still look the same. In the link
above I have included an example of pinwheel symmetry in a little ground that
I discovered using a computer algorithm.
So my question to you is, do you know of any grounds with rotation symmetry?
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