03.08.2016 § 2 Comments
Here is the entire continuum in one pattern:
And here’s an animated version:
Allow me to explain!
By increasing or decreasing the number of stripes in the pattern, one moves along the continuum from Houndstooth,
through Shepherd’s Check:
And if you move in the opposite direction, you actually get a form of Herringbone, just some checkered chevrons:
In the static image, I increased the number of stripes in each striped square by one each time I moved another diagonal away from the top left square. The size of the stripes is decreasing smoothly, though, within each square; that is, it is not the case that in the squares with four stripes that each is one-fourth the width. The stripe closest to the three-stripe square is wider, and the stripe closer to the five-stripe square is thinner. Their widths are related by the inverse triangular number function, because the total count of stripes from the beginning increases by an number which increases by 1 each diagonal of squares.