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The phrase "a three dimensional space" is correct and usable in written English.
It can be used in contexts related to geometry, physics, computer graphics, or any discussion involving spatial dimensions.
Example: "In physics, we often analyze objects in a three dimensional space to understand their movement and interactions."
Alternatives: "a 3D space" or "a three-dimensional area".
Exact(14)
Add altitude and your position is now given by three numbers in a three dimensional space.
People, places and things on the web are represented by objects in a three dimensional space.
Consider microphones and sound sources distributed in a three dimensional space.
Many geographic processes evolve in a three dimensional space and time continuum.
However, all these parameters depend on the location (in a three dimensional space) and also on time.
Next, we give the numerical example to support our some result in a three dimensional space of real numbers.
Similar(46)
Vostrez says, "Moller's idea is to use the third dimension in a three-dimensional space as opposed to just two dimensional space that we're tied to on the ground.
VBAP follows the tangent law in a three-dimensional space using three adjacent loudspeakers to form a sound vector.
In general, a surface is a continuous boundary dividing a three-dimensional space into two regions.
Göktaş and Bayrak, however, saw a possibility in turning these otherwise two dimensional objects into a three-dimensional space, thereby creating a hill.
Therefore, each colour can be represented as a point in a three-dimensional space defined by its three parameters L*, a*, and b*.
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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