I like mitred squares. I like any pattern where the number of stitches is always decreasing. I was getting a bit bored with squares so decided to investigate shapes with angles that were not all right angles. Technically, I think that maybe mitres should always be two forty-five degree angles joined to make a square corner. I describe all my shapes that start with a straight row of stitches, and then fold to a different angle, as mitred regardless of the resulting angle.

Designs can be created using a mixture of angles and sizes but the shapes have a tendency to get bigger as the design works out from the centre. I wanted more regular shapes so had to use all the basic rules that apply to any kind of tessellation.

I experimented and made quite a lot of samples that I might return to in the future. I  realised that one four-sided shape, repeated many times, was the best option so I chose to use kites. The problem with this is that the shapes can easily be drawn but are much more difficult to knit without having to stitch pieces together.  Identical four-sided shapes will always tessellate. Mathematically, my shapes are identical but there are two different construction methods so that they can be joined without stitching.

One colour is used at a time and the stitches for each shape are picked up from the shapes already made. Choosing the colours was a real problem. I drew the tessellating kites so that each could be coloured in with one two, or three, colours. The permutations are endless. I settled for five colours and used them in rotation. It is pleasing that this arrangement uses equal amounts of the five colours but areas of the same colour never touch.

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