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The answer ORIENTED has 20 possible clues in existing crosswords.

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Possible Dictionary Clues
adjusted or located in relation to surroundings or circumstances sometimes used in combination
Simple past tense and past participle of orient.
having a specific orientation
align or position (something) relative to the points of a compass or other specified positions.
tailor or adapt (something) to specified circumstances.
showing the direction in which something is aimed:
directed towards or interested in something:
showing the particular direction in which something is aimed:
The countries of the East, especially East Asia.
The special lustre of a pearl of the finest quality (with reference to fine pearls from the East).
Oriented description
In mathematics, orientability is a property of surfaces in Euclidean space that measures whether it is possible to make a consistent choice of surface normal vector at every point. A choice of surface normal allows one to use the right-hand rule to define a "clockwise" direction of loops in the surface, as needed by Stokes' theorem for instance. More generally, orientability of an abstract surface, or manifold, measures whether one can consistently choose a "clockwise" orientation for all loops in the manifold. Equivalently, a surface is orientable if a two-dimensional figure such as in the space cannot be moved (continuously) around the space and back to where it started so that it looks like its own mirror image .
* The notion of orientability can be generalised to higher-dimensional manifolds as well. A manifold is orientable if it has a consistent choice of orientation, and a connected orientable manifold has exactly two different possible orientations. In this setting, various
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