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The word "three-dimensional" is correct and usable in written English
You can use the word when describing something that has depth, width, and height, such as a 3D movie or a 3D puzzle. Example Sentence: The 3D artwork in the gallery was stunning, offering a truly three-dimensional experience.
Dictionary
three-dimensional
adjective
Existing in three dimensions
Exact(56)
Create three-dimensional characters.
Three-dimensional computation visualization.
Three-dimensional graph drawing.
Three-Dimensional Coordinate Systems.
Three-dimensional alpha shapes.
So there's three-dimensional space.
I grok three-dimensional space.
Similar(4)
"It's, like, three dimensional".
Three dimensional information visualisation.
Three dimensional PCA (PCA 3D).
It's al-most three- dimensional.
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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