- #1
let be name the points as,(https://ibb.co/2srLjB1) if AC would be an edge then A and C are vertices and segments BC, AC, AD, CE became edges. Is this justified Also for a simple polygon there should be no self intersecting edge, the line AC just touches the lines BD and BE, is this sufficient to fulfill the intersecting condition?.Scott said:Yes, it could be described as a polygon - but not a "simple polygon".
https://en.wikipedia.org/wiki/Polygon
If the left edge from top to bottom is A, B, D and the right edge from top to bottom is A, C, E:
Then this could be described as polygon ABCBDECA or ABCEDCDA.
Thus, it would be a polygon that intersects itself.
polygons that do not intersect themselves are called "simple polygons".
Oh, and to answer your follow-on question: The middle line segment would be two edges.
To me, the question isn't answerable: either you define a polygon one way or the other, either allow straight angles or don't.Suyogya said:Can someone please tell is this (https://ibb.co/stGFSKs) figure a polygon. If yes then is the middle line would count as an edge?
thanks for correcting.Scott said:.With your new point labels, the polygon would be either BACADECB or BADECACB.
In order for it to be a polygon, you need to close the loop - end at the same place you started.
I am not sure I am interpreting your statements correctly, but it doesn't sound as though you are following that rule.
No, a figure is not considered a polygon if it has curved edges. A polygon is a closed shape with straight edges and vertices, so any figure with curved edges would not meet this definition.
To determine if a figure is a polygon, you can check if it meets the definition of a polygon. A polygon is a closed shape with straight edges and vertices. If the figure has these characteristics, then it can be considered a polygon.
No, a figure cannot have an infinite number of edges and still be considered a polygon. A polygon must have a finite number of edges and vertices in order to meet the definition of a polygon.
No, not all polygons are the same shape. Polygons can have different numbers of sides and angles, which can result in different shapes. For example, a triangle and a square are both polygons, but they have different shapes.
No, a circle is not considered a polygon. A circle does not have straight edges and vertices, which are necessary characteristics for a shape to be considered a polygon. A circle is a type of curve, not a polygon.