Three loops, internal rotation

Symmetry and Celtic knots

Today, I combine my two favorite topics:  symmetry and Celtic knots.

I use symmetry to design my tessellation quilts. I can also use symmetry to design Celtic knots.

Take this loop-the-loop for example.

Single loop-the-loop
Single loop-the-loop

If I rotate three copies around the center of the loop, I get this:

Three loops, internal rotation
Three loops, internal rotation

If I rotate three copies off center, I get this:

Three loops, off-center rotation
Three loops, off-center rotation

I can line loops in a row, like this:

Linear symmetry
Linear symmetry

I can cover an entire surface, like this:

Planar symmetry
Planar symmetry

What next??

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