For the littles:
It talks about the type of symmetry. For this we could lower a board to the shortest it can go and let kids play around.
Weave Silk is a pretty one:
On this one you can choose between 0 and 6-fold rotational symmetry. You can also share your results via email. Perhaps there's a way to print designs?
Math Is Fun has one, except I wish it had a full screen option:
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