B Mine

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Entrelac letter "B." Not perfect... there are places where 4 or 6 squares come together where there are noticeable gaps. We learn as we go.

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Symmetries of knitting

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sorted by coxeter types.pdf (7600 KB)

There was a time when I was absolutely driven to understand plane symmetry especially as regards knitted fabric. I created a database in FileMaker, including dozens of illustrations I made (pixel by pixel) and from it ran a report that created this pdf file. I was trying to enumerate all the different kinds of symmetry that are possible with knitting motifs using two colors.

I only used symmetries that can be fairly faithfully shown on a fabric that is based on stitches that lie on a rectangular grid.

It probably helps, to understand this a little, what the wallpaper symmetry groups are. But it's pretty even without knowing them.

Two books I used to derive this were Symmetries of Culture and Tilings and Patterns.

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