A collection of geometric design blocks built with squares, rectangles, and lines looked at combinations that were 2D but could play with the illusion of movement, these repeats look at cubes in growing sizes.
The larger repeats have long floats, and are more suitable for DBJ than FI.
Fore easy manipulation mirror the images horizontally.
To mirror punch cards, flip them over and insert them into card reader. Depending on the complexity of the design, numbering the back of the card can be useful.
8X14
Its mirrored version
8X22
10X20
10X20
12X22
20X10
Exploring mirroring and rotations of the design repeat to achieve the start of DIY secondary shapes
Larger design repeats become more suitable for DBJ, the conventional max in FI single bed knitting is 5 needles knitting in either or both colors
24X44
The opportunity to explore 3 colors per row
36X59 
Exchanging colors to match yarn stash or to find secondary shapes in RGB/ expanded palette mode. 
Choosing from previously developed design repeats, DIY 3 color versions can easily be achieved through filling in dotted areas.
testing the changes in orientation using ArahPaint tools
to mirror first horizontally and then vertically.
A different design with a vertical orientation, 12X26
repeated to the same number of pixels/ potential stitches as the above. 
Developing a more complex geometric shape, 24X20, 
built by taking away or adding color pixels to create new forms. 
Working in multiple colors, software assistance visualizes complex shapes built from small units rotated to form new ones.
These were gleaned from Wolfram Math exploring Neat Alternating Tilings of the Plane, in their computational design format, CDF; the linked tilings site permits testing live interactive demos.
The version of the CDF player operating on my Mac is 13.3. Nothing appears to be working properly in the latest available one, 14+, tested and now uninstalled.
Triangular unit variations ie,
are found in the blog post Truchet/Smith inspired designs 2 meet ArahPaint.
Side-by-side stitches forming lines or intersections in pairs of pixels are unavoidable.
Here, there are vertical lines that form and will shift with the rotation of the files. The colors can easily be replaced in coloring book style to match yarn colors or personal taste.
A small unit, the vertical line is highlighted in the closeup image, 8X8
24X24
different color-way, altering the visual impact by mirroring or rotating the file to shift the placement of the dark color
More collections to explore are listed below. For an updated list/ more, see blog index, new listing DESIGN REPEAT COLLECTIONS
Hound’s tooth FI variations were in a very early post, which offered only charts. PNGs for the designs are now in the process of being added
Playing with diamond and argyle repeats
Developing tiled repeats suitable for multiple stitch types includes some optical illusions
Seasonal knits inspired by published repeats 1 winter, holiday
Seasonal knits inspired by published repeats 2, hearts
Weaving drafts as inspiration for other textile techniques
Seasonal knits inspired by published repeats FW 2025
Working with diagonal patterning in machine knitting