The phrase "a flat surface of" is correct and usable in written English.
It can be used when describing the characteristics or properties of an object, particularly in contexts related to geometry, design, or physical objects.
Example: "The table has a flat surface of polished wood, making it ideal for dining."
Alternatives: "a level area of" or "a smooth plane of".
Projection, in cartography, systematic representation on a flat surface of features of a curved surface, as that of the Earth.
In "Round Top," Stan Brodsky relies on a flat surface of somber tones to set off an austere group of objects.
A blob of molten glass was collected on the knob end and rolled into a suitable shape on a flat surface of iron or stone called the marver.
In the absence of such aerosols, the spontaneous conversion of water vapour into liquid water or ice crystals requires conditions with relative humidities much greater than 100 percent, with respect to a flat surface of H2O.
Map, graphic representation, drawn to scale and usually on a flat surface, of features for example, geographical, geological, or geopolitical of an area of the Earth or of any other celestial body.
"People want the truth from war photography more than they do from any other kind of photography," says Jimmy Fox, the Magnum picture editor who has worked with the likes of Don McCullin and Philip Jones Griffiths, "but a flat surface of an image is not the reality and never can be".
Lay out your tap shoes on a flat surface on top of newspaper.
Cut a flat surface on the inside of the pumpkin for the candle to lay.
Instructions: Place test on a flat surface out of your line of vision.
Place the full candle holders or molds on a flat surface out of the way of foot traffic so the wax can harden evenly.
For surfaces, the generalization from the geometry of a plane – a flat surface – to that of a general curved surface had been described in the early 19th century by Carl Friedrich Gauss.
