Three-dimensional
In geometry, three-dimensional space included the three planes of space in which all matter in the physical universe existed, encompassing the X-, Y-, and Z-axes. 

A hologram was a three-dimensional projection of light and energy. ()

To utilize all three dimensions in navigation, a ship's heading was given in measurements called s on a sphere, so when degrees are given on both the horizontal and vertical plane, a ship can head in any direction in all three dimensions. ()

During the Battle of the Mutara Nebula in 2285, Spock noted how Khan Noonien Singh patterns indicated "two-dimensional thinking" in three-dimensional space. To use this to their advantage, Admiral James T. Kirk lowered the  on the z-axis by 10,000 meters. ()

When the  was caught in the wake of two-dimensional beings, all of their attempts to escape were based on the laws of a three-dimensional universe. During the event, Picard, was curious with how a two-dimensional entity could have access to a three-dimensional universe. ()

When Jean-Luc Picard was reintroduced to the Borg Queen, he was confused because he thought that the ship and all the Borg on it were destroyed, including her. She belittled Picard by how small he had become for thinking in such three-dimensional terms. ()

During their attempt to combat the Kazon, the idea was passed around to create holographic ships in space as false targets. The idea, promoted by The Doctor, explained that "projecting the illusion of a large, three-dimensional object has been a trick of magicians for centuries." He then suggested that it could be done by "installing holo-emitters along the hull with parabolic mirrors to enlarge the images as they are reflected into space." ()

In 2377, B'Elanna Torres mocked Tom Paris created a three-dimensional movie marathon in the holodeck, noting the irony that he went "to all this trouble to program a three-dimensional environment that projects a two-dimensional image, and now you're asking me to wear these (3D glasses) to make it look three-dimensional again?" To Paris' amusement, he replied, "Great, isn't it?" ()

In 3189, Commander Michael Burnham suggested, with three points of data, that she and Ensign Sylvia Tilly could triangulate and pinpoint the source of The Burn. Tilly responded to the suggestion by saying that this might work in a two-dimensional space; however, in a three-dimensional space, it would leave an area far too large to be explored in several lifetimes. To make it work in a three-dimensional space, they would need more data. ()

See also 
 Three-dimensional checkers
 Three-dimensional chess
 3D glasses

External link 
 

Mathematics