Curve-stitch Designs

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A Family of New Designs (Page 2)

 
It took a little while to realize that, as
o changed, the overall look of the resulting figure changed, sometimes dramatically. As o approaches 2s, for example, I got figures like this one:

Segments = 24, Offset = 46
Segments = 24, Offset = 46

 
If
o exceeds 2s, however, one gets figures equivalent to those with offsets less than 2s because points separated by k segments moving counterclockwise are separated by 4s-k segments moving clockwise, which is the same as the counterclockwise distance if one starts from the second point. Moreover, = 2s is a degenerate case, which yields figures with all lines meeting in the middle of the square:

Segments = 24, Offset = 48
Segments = 24, Offset = 48

 
It took me a little longer to realize that offsets between 1 and
s-1 were also possible. Offsets of 0 or 1 yield the same figure, another degenerate case (negative offsets have positive offset equivalents, of course):

Segments = 24, Offset = 0 or 1
Segments = 24, Offset = 0 or 1

 
Offsets close to
s/2 yield something close to a circle within the square:

Segments = 24, Offset = 14
Segments = 24, Offset = 14

 
Then there are other figures that look somewhat different. (Continued on next page)

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