“3 by” Celtic knots, no breaks

This is the second in a series of blog posts exploring simple Celtic knot bands. “3 by” refers to the fact that these knots are three sections wide, and an increasing number of sections long. A later blog post will introduce breaks in these knots.

Each example will display a line drawing of the knot, and a colored version. The colored version features three basic shapes (corners, curves, and bars) with a bit of space added between them, and the colors illustrate how many strands are in each knot.

3 by 3 knotted band: four corners, four curves, four bars; three colors.

3 by 3 knot
3 by 3 knot

3 by 4 knotted band: four corners, six curves, seven bars; one color.

3 by 4 knot
3 by 4 knot

3 by 5 knotted band: four corners, eight curves, ten bars; one color.

3 by 5 knot
3 by 5 knot

3 by 6 knotted band: four corners, ten curves, thirteen bars; three colors.

3 by 6 knot
3 by 6 knot

3 by 7 knotted band: four corners, twelve curves, sixteen bars; one color.

3 by 7 knot
3 by 7 knot

3 by 8 knotted band: four corners, fourteen curves, nineteen bars; one color.

3 by 8 knot
3 by 8 knot

3 by 9 knotted band: four corners, sixteen curves, twenty-two bars; three colors.

3 by 9 knot
3 by 9 knot

Did you notice anything about these examples?

When the length is divisible by the width (3 x 3, 3 x 6, and 3 x 9), they produce three-color knots; the knots are actually three separate strands, woven together.  When the length is not divisible by the width (3 x 4, 3 x 5, 3 x 7, and 3 x 8), they produce one-color knots.

(I’ll have to see if this holds true with other bands.)

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