Universal Herringbone hatch pattern

[eldon]

In Herringbone patterns, that consist of rectangles only, the length of the block is always the width of the block multiplied by an integer (whole number). It makes it easier to use to have a pattern at 45° with a unit width. This can be scaled to suit, i.e. a scale of 3 for 3" wide blocks, and a scale of 75 for 75mm wide blocks. It all depends on the ratio. So here is a general formula with no irrational numbers and with a couple of worked examples of pattern files, and a picture of the successive hatches (I do know that a 1 to 1 ratio is not conventional herringbone, but I put it in to complete the picture):-

 

*HbR, Herringbone with width to length ratio 1 to R
45, 0,0, 1,1, (R+1),-(R-1)
135, 0,0, -1,1, R,-(R-1),1
*eldon May 2022

*Hb6, Herringbone with width to length ratio 1 to 6
45, 0,0, 1,1, 7,-5
135, 0,0, -1,1, 6,-5,1
*eldon May 2022

 

*Hb15, Herringbone with width to length ratio 1 to 15
45, 0,0, 1,1, 16,-14
135, 0,0, -1,1, 15,-14,1
*eldon May 2022

 

Edited May 19, 2022 by eldon
format