Hi Beth,
You raise a very good point. Any pattern that can be reflected in two
mirrors at right angles can also be rotated 180 degrees and still look the
same. The type of patterns that I am looking for can be rotated and look
the same but do not have any mirror reflections - like a
Thank you Brenda for your detailed and comprehensive reply. It is very much
appreciated.
In my description of what I am looking for, I left out an important detail. I
am ignoring the over and under crossing of the threads when looking for
symmetry. You can think of it as looking for symmetry
Hello Veronika
In bobbin lace, cloth stitch (CTC) has 90 degree rotational symmetry, but not
mirror symmetry.
Additional twists added to each of the pairs, in the same numbers, both before
and after the cloth stitch will retain the rotational symmetry.
A single half stitch (CT) does not have
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
