In light of the popularity of circular Celtic knots, today I am going to run a little experiment. I want to see what relationship exists between the length of a knot and its circular counterpart.

Below are four open-ended Celtic knots of one, two, three, and four segments, along with a circular Celtic knot of the same number of segments.

Below are four open-ended Celtic knots of five, six, seven, and eight segments along with a circular Celtic knot of the same number segments.

Below are four open-ended Celtic knots of nine, ten, eleven, and twelve segments along with a circular Celtic knot of the same number of segments.

Now looking at these twelve examples, I come to three conclusions:

- Circular knots with odd-number segments make one continuous knot;
- Circular knots with even-number segments make two interlocking knots;
- The more segments, the “bumpier” the inner and outer edges of the circular knot.

My next experiment will determine the relationship between the depth of a knot and its circular counterpart.

See you tomorrow . . .