It appears hound’s teeth are turning up on runways everywhere, along with plaids. There are many variants of the pattern, and excel and other software programs make playing with motifs, literal and not so much, easy and quick studies. History of the particular platter may be found @ http://www.tess-elation.co.uk/houndstooth/history, analysis of the math involved: https://archive.bridgesmathart.org/2012/bridges2012-299.pdf
the Studio punchcard version 
the Brother version 
a more block-like one, similar to some found on woven fabrics
a petite cousin 
playing with the negative space (no longer suitable for punchcard)
some repeats lined up 
some “doodles” of mine 
from an online search 
adding simple shapes 
a weaving draft 
more weaving drafts, scaled for knitting, repeat isolated, and tiled for preview
color reversals
vertical pattern combo with other designs, repeat is 8 rows by 47sts
from a punchcard pattern book 
going large,28X28
48 X 48
going a little “crazy”, a 134 X134 pixel image, followed by tiling of it 
from a 3 color weaving draft inspiration
2024 Software tools have changed dramatically since much of the body of this post was first published, some downloadable pngs and added content follows
working larger scale, planning for an added third color, the starting 16X16 png 
planning a plaid effect requires eliminating touching points, the repeat adjusted to 17X16 
areas adding a third color 
finding the individual 68X64 repeat 
always check tiling before knitting
Going huge, planning a repeat on square 8X8 grid blocks 
the resulting 32X32 file 
tiled to 160X160 
adding another color after removing some pixels, the repeat remains 32X32 
adding a third color in spots, work in only 3 selected colors, not RGB Mode
this particular variation repeat is 128X128 pixels in size 
the palette can easily be adjusted to match yarn colors and help to finalize the color choice 
2024: this pattern was also based on a weaving design, and appeared evocative of shapes in this family 
some of the pattern definition may appear less clear in the transition from BW computer renderings to the actual knit sampling 