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.Scott

Science Advisor

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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.

- #3

Suyogya

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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?

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.

- #4

.Scott

Science Advisor

Homework Helper

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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.

- #5

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To me, the question isn't answerable: either you define a polygon one way or the other, either allow straight angles or don't.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?

- #6

Suyogya

- 14

- 0

thanks for correcting

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.

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