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.

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

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

I can line loops in a row, like this:

I can cover an entire surface, like this:

What next??

If I can modify the center of a circular knot, why not insert an entire Celtic knot?

Granted, the center’s not perfect, but it’s close enough to work with.

Here it is in fabric:

This opens up a whole new range of Celtic knot medallions.

I would like to fill in the center of this medallion.

I could position a smaller version of the medallion in the center.

Instead, I merged the larger and smaller versions together.

How many loops are in Medallion 3? How many loops are in Medallion 6?

Again, I merged a smaller version of Medallion 3 with Medallion 6.

Now, how many loops?

Finally, I merged an open-sided knot section with Medallion 6.

How can I get more knotting in the center?

What if I wrapped an open-ended Celtic knot band into a circle?

These are nice, but how can I fill the hole in the middle?