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The phrase "a system of squares" is correct and usable in written English.
It can be used when describing a structured arrangement or organization that involves squares, such as in mathematics, art, or design.
Example: "The architect presented a design that featured a system of squares to create a visually appealing layout for the new park."
Alternatives: "a grid of squares" or "a framework of squares".
Exact(3)
The authors therefore postulated the existence of a new series of polyhedra, which had been reported as theoretical possibilities by mathematicians10 but never observed in any natural or artificial assemblies: closed-shell frameworks in which eight equally distributed triangles are incorporated into a system of squares (Fig. 1b).
The city was planned around a system of squares, which have been made into small parks and planted with semitropical flora; these are surrounded with buildings in a variety of architectural styles (notably Georgian Colonial and Greek Revival), and hundreds have been restored.
You'll need to draw a system of squares that will end up "inscribing" the spiral, acting as guide lines for your drawing.
Similar(57)
The numerical calculations deal with a system of square plates connected along two lines.
And the company went in an altogether different direction last year with Blocks — a system of square music pads with playable light-up scales that can be arranged in any number of configurations.
You can use a system of town squares, where you build a simple quadrilateral shape for your road, line it with essential buildings like banks and grocery stores, give the small district a name, and place an ornamental fountain or monument in the middle.
A more folksy approach comes from Mel Bartholomew, a sort of Will Rogers of raised beds, who expounds on his system of "square foot gardening" in books, most with some variant of that phrase in the title, and on a Web site (squarefootgardening.com).
From this fundamental tenet, his system of colored squares branches out into a proposi tion of cosmic dimensions in volving several ancient nu merical systems, the "cal endrical permutations" of our solar system and such ar chaic building forms as the pyramids of ancient Egypt and Central America.
The name Drams refers strictly to the lowest 30 miles (48 km) of the river (below Krøderen) but is also used for the whole river drainage system of 6,600 square miles (17,100 square km).
In particular, the bioclimatic analysis of the system of central squares of the small town in Sant'Ilario d'Enza (Italy) becomes the base for the design of a new liveable space among buildings of limited historical and architectural value.
The proposed technique incorporates the design constraints or objective functions in the system equations in such a way that a square system of equations is always preserved.
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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