Example of Three scales of Smith Truchet Tile
[GA2021 H Verrill page 3/15]
If we can multiply up to get a picture scaled up by √2,
as in tiles 10-12 above, we should be
able to scale down. Here is an example.
In this tiling there are two tile designs which are alternated.
A grey curve is added to each tile compared with tile 10 of
the previous picture.
This gives a scaled down Smith Truchet tiling.
Tile transformation
In the above picture, the blue curves can be transformed to the gray curves
like this:
Slider to transform design:
What do we gain from this continuous transformation?