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The phrase "a flat surface" is correct and usable in written English.
It can be used to describe a level and even area, often in contexts related to geometry, design, or physical objects.
Example: "To ensure stability, the table must be placed on a flat surface."
Alternatives: "an even plane" or "a level area".
Exact(60)
You're pounding a flat surface.
"Not just on a flat surface.
On a flat surface, it works well".
But at least it's a flat surface".
We are geared to seeing images on a flat surface.
Follow Beckett MufSteponeTwitter.
I'm creating an illusion of space on a flat surface!
Tessellation is geometric tiling upon a flat surface.
Both assumed a rigid cone indenting a flat surface.
Find a flat surface.
Draw on a flat surface.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com