Design tiles, right??
The original idea was to devise a low-tech method for generating infinite patchwork blocks from a single tile. I had a tile with lines drawn through it, and a mirror-image of the same tile. I numbered the rotations, 1 through 4, and 1M through 4M, for the mirror-image tiles.
I started arranging groups of four tiles.
All four tiles can be identical . . .
Three tiles can be identical, and one tile can be different (easily accomplished by rotating one of the tiles) . . .
The four tiles can be two pairs of identical tiles (the two tiles in the pair can be identical to each other, the two pairs can be different from each other) . . . These two pairs can be beside each other, on top of each other, or diagonally from each other.
The four tiles can be one pair of identical tiles and one pair of different tiles. Again, these two pairs can be beside each other, on top of each other, or diagonally from each other.
The four tiles can be four randomly-selected tiles (my favorite) . . .
There are 4096 possible 4-patch combinations.
The same concepts work for 9-patch, 16-patch, 25-patch (and beyond) blocks . . . yes, an infinite number of patchwork blocks.
Update on Me
5 days ago