FROM SQUARE TO ETERNITY
Squares in squares in squares ... to infinity.
The knitting is worked outwards from the centre of each repeat. Each new set of triangles, in a motif, doubles the area of the existing shape. The area of each square is one-quarter of the area of the next size square of the same orientation.
This is one of our earliest afghans - and still one of our favourites.
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From Square to Eternity
Each square motif is made in one piece by picking up stitches. The motifs are stitched together.
In the afghan in the photo there are 2 large, 8 medium and 16 small motifs. Different arrangements of motifs can be used.
Use any yarn and needles of your choice, in two, or more colours.
The original was made in DK yarn. Using a different yarn will change the overall size of the afghan. The size can be changed by adding more rounds of triangles to the motifs or by changing the arrangement of motifs.
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This had always been one of our favourite designs for using on sweaters so was an obvious choice for our first afghan. It creates simple yet dramatic patterns and is technically pleasing in its construction and Mathematics.
The construction is very appealing because the number of stitches on the needles is always decreasing. You have to pick up stitches for the long edge of each triangle and work them off until they have all disappeared which is much more encouraging than working on a piece that gets wider and wider.
Mathematically, it is evident from the photo that one large unit is the same width as two medium units and the same width as four small units. The small units are exactly the same as the centres of the larger units. This wonderful relationship means they can be fitted together in many different combinations. The relationship between the light and dark areas is even more magical. The length of one is root 2 times the other. This is the direct result of all the shapes being right angled triangles and being able to use Pythagoras’ Theorem on them.
When sides are in the ratio of 1 to root 2 the area of the new shape is exactly double the area of the first. Each new ‘round’ of triangles doubles the area of what has gone before. The overall size can easily be calculated once one small piece has been worked.