Yes. The body is Plainsman M370 (~ 25 silica, 25 feldspar, 30 kaolin, 20 ball clay + talc to tune maturity), a plastic throwing clay with far too much drying shrinkage to be suitable for tile. It is 3.8 mm thick fired (vs. commercial tiles at 5-7mm). It was rolled and dried completely between sheets of plaster board. Bisque and glaze firing were on an alumina shelf in an electric pottery kiln (at 300F/hr up through quartz inversion on the glaze firing), a completely unsuitable method for firing tile evenly top and bottom. Cooling on both firings was free-fall in a fairly empty kiln. Yet, it is flat! And flexible enough that I could lay it on the cement floor and stand on it without it breaking! Of course, to produce these consistently special furniture that sinks minimal heat and a kiln that can evenly apply it front and back are needed. This is doable for custom applications. Of course, to compete in the commercial market, they need to be dust-pressed and there are lots of specifications to meet.
Tile manufacture is the largest sector of ceramic industry. Engineers overcome the very difficult technical challenges of drying and firing defect-free, flat and durable tile. Potters can do it too.
Making a high quality ceramic tile
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