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"three-dimensional space" is a valid and usable phrase in written English.
You can use it when referring to physical space in which objects have a depth, width, and height. For example, "The sculpture takes on a life of its own when viewed in three-dimensional space."
Exact(42)
We picture the whole thing sitting in three-dimensional space.
octahedron to tile or fill three-dimensional space.
Han, D. et al. DNA origami with complex curvatures in three-dimensional space.
Arnold's example does this, but it is not realisable in ordinary three-dimensional space.
In the three-dimensional space, flux will be measured through a surface.
Silkworms typically require a confined three-dimensional space to spin a cocoon.
Similar(9)
Biped balances actively while walking in three dimensional space.
Add altitude and your position is now given by three numbers in a three dimensional space.
Topics: Nature of three dimensional space, geometry of solids, nature of shadows hitting three dimensional objects.
People, places and things on the web are represented by objects in a three dimensional space.
We can thus think of each possibility as a point in a simple three dimensional space.
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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