The phrase "a patchwork of squares" is correct and usable in written English.
It can be used to describe something that is made up of various distinct parts or elements, often in a visually appealing or varied manner.
Example: "The artist created a stunning quilt that resembled a patchwork of squares, each one telling a different story."
Alternatives: "a mosaic of squares" or "a collage of squares".
And then there is an impossibly light chiffon dress, pieced together out of a patchwork of fabric squares, more of a triumph of mathematics than traditional dressmaking.
Or that every centimeter of the long concrete and aluminum fitted dining room is a design statement, from the wall hanging made of a patchwork of multicolored squares of shag rugs to the Egyptian- or Polynesian-looking statues of black cat deities holding platters filled with votive candles.
With my two companions, Charles and Florence, I settled into one of the plump white sofas decorated with silky orange throw pillows, as above us a patchwork of cream-colored cloth squares, each bordered by the darkening blue sky, fluttered like a hundred sailing kites.
While seeming mundane, the large patchwork of squares and rectangles of fabric that constitutes another piece has the painstaking proportional sensitivity of a field of tiny squares painted by Paul Klee, or a Schwitters collage.
The square mile itself is a patchwork of conservation areas and listed buildings.
But the programs have run into jeopardy in other parts of Marja, an area of about 80 square miles that is a patchwork of lush farmland and small bazaars and villages.
Every new rug is a patchwork of older pieces rescued from the scrapheap - a square from a worn out pair of harem pants, a section of an interior wall from a Yoruk (nomad) tent.
Kingsbridge is a patchwork of smaller neighborhoods, each with a personality all its own, spread over barely 0.75 square miles.
We're a patchwork of small towns".
"We saw a patchwork of different decisions".
