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A polygon is an enclosed plane area whose boundaries comprise straight lines. So the area must be enclosed. However, the boundaries themselves may or may not be included in the definition. If the boundaries do not form part of the polygon then it is open; otherwise it is closed.This is analogous to a < x < b is the open set, (a, b) and a <= x <= b is the closed set, [a, b]. In the first case, the boundaries, a and b are not part of the set/interval, whereas in the second case they are.
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What does it mean to have a closed polygon?
Polygons by definition are closed: when all the sides are connected and there are no open spaces between them.
Why is a regular pentagon a polygon?
A regular pentagon has straight sides and is closed so its a polygon. Any shape with straight sides and is closed is a polygon. Example O (circle) has curved lines so its not a polygon L (square) is open therefore it is not a polygon.
What is a two equal sides polygon called?
It is impossible to have a two-sided regular polygon with equal length sides. The two sides would merely form an open angle, with no closed third side.
What is an open polygon called?
In CAD (computer aided design) a Polyline is used to refer to shapes with multiple lines that aren't necessarily closed.
Show me open and closed syllables?
"Show" is open, "and" is closed. O- is open, -pen is closed. "Closed" is closed.
