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Hidden Line
In mathematics, a hidden line is a Edge_(geometry), geometric edge line that is not visible from an Observation, observer's view of a shape or object. A common practice is to draw the visible edges as solid lines and the hidden lines as dotted lines, dashed lines, or thinner lines than the visible lines. Hidden lines add geometric information about the unseen sides of an object. They are used to help a person visualize drawings of geometry, geometric objects in three-dimensional space. A three-dimensional object drawn with solid visible and hidden lines is a wire-frame model of the object. Geometry objects without hidden lines When a student is first introduced to a geometric cube, a cube without hidden lines looks like a closed box which they are familiar. Drawing an object without hidden lines, matches an observer's view of the object. Less lines makes an object easier to draw. To draw higher dimensional cubes, hypercubes, without hidden lines, make the Face_(geometr ...
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Edge (geometry)
In geometry, an edge is a particular type of line segment joining two vertex (geometry), vertices in a polygon, polyhedron, or higher-dimensional polytope. In a polygon, an edge is a line segment on the boundary, and is often called a polygon side. In a polyhedron or more generally a polytope, an edge is a line segment where two Face (geometry), faces (or polyhedron sides) meet. A segment joining two vertices while passing through the interior or exterior is not an edge but instead is called a diagonal. An ''edge'' may also be an infinite line (geometry), line separating two half-planes. The ''sides'' of a plane angle are semi-infinite Half-line (geometry), half-lines (or rays). Relation to edges in graphs In graph theory, an Edge (graph theory), edge is an abstract object connecting two vertex (graph theory), graph vertices, unlike polygon and polyhedron edges which have a concrete geometric representation as a line segment. However, any polyhedron can be represented by its n-s ...
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