## Gingham-Herringbone Continuum

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:

through even denser Shepherd’s check…

into Gingham:

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.

The code behind the Gingham-Herringbone Continuum (as well as some Derasterized Houndstooth concepts) can be found here if you’d like to fiddle with it yourself.

See also:

[…] (If we continue past Houndstooth, into two stripe, or even “one” stripe squares, you actually reach forms of Herringbone; hence the name of the continuum. Learn more about it on my other post here.) […]

[…] that this led to a form of Herringbone was half of the inspiration for my other post on the Gingham-Herringbone Continuum (the other half being the observation that going the other direction leads through Shepherd’s […]