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We can define a plane with:

$$ax + by + cz + d = 0$$

However we assume all the variables above are $\in \mathbb{R}$.

Is there a formal name for a plane that is bounded by four line segments, or bounded to some finite area?

This may be analogous to when we differentiate a line from a segment, however I'm not sure if a term exists or if we would just call them a "square" or "rectangle" that happen to be in a 3D coordinate system.

Or is my definition wrong and a plane also includes a bounded area?

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  • $\begingroup$ You are talking about a trimmed surface $\endgroup$ Aug 9 '18 at 19:57
  • 4
    $\begingroup$ Yes: quadrilateral. en.wikipedia.org/wiki/Quadrilateral $\endgroup$
    – mfl
    Aug 9 '18 at 19:57
  • $\begingroup$ a bounded surface with curvature equal to zero? $\endgroup$
    – user
    Aug 9 '18 at 20:03
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    $\begingroup$ 'Quadrilateral' is an appropriate name, and it does not depend on the way you describe the plane which contains the figure. $\endgroup$
    – CiaPan
    Aug 9 '18 at 20:05
  • $\begingroup$ Polygon, or $4$-gon. $\endgroup$
    – mvw
    Aug 9 '18 at 20:15

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