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Timeline for Reordering vertices of a polygon

Current License: CC BY-SA 4.0

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S Jun 9, 2018 at 19:03 history bounty ended CommunityBot
S Jun 9, 2018 at 19:03 history notice removed CommunityBot
Jun 3, 2018 at 8:45 comment added Wlod AA Otherwise, when $Q"$ has more vertices than $Q$ then it seems clear to me that the answer in general is NO.
Jun 3, 2018 at 8:22 comment added user101163 @WlodAA yes, you can suppose $Q$ and $Q'$ have the same number of vertices
Jun 3, 2018 at 5:01 comment added Wlod AA When $Q'$ has more vertices than $Q$ then it can be messy even for the case of 4-vertice $Q$. Is there an assumption about $Q'$ having the same number of vericies as $Q$?
Jun 3, 2018 at 4:57 comment added Wlod AA It seems that the 4-vertice case is obvious.
Jun 3, 2018 at 4:56 comment added Wlod AA It seems that the 4-vertice case is obvious.
Jun 3, 2018 at 4:53 comment added Wlod AA What about the simplest cases with 4 or 5 vertices?
Jun 3, 2018 at 4:11 comment added Wlod AA Thank you for your kind answer. This is a nice question.
Jun 2, 2018 at 8:41 comment added user101163 @j.c. Yes, $Q,Q'$ are pseudotriangles. I am sorry, the point you cited was not clear, I hope it is clear now. I also means that $v_i',i=1,2,3$ must be vertices of $Q''$
Jun 2, 2018 at 8:39 history edited user101163 CC BY-SA 4.0
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Jun 2, 2018 at 8:05 comment added user101163 @WlodAA I want to prove that for every $Q$ and $Q'$ there is a $Q''$
Jun 2, 2018 at 8:05 history edited user101163 CC BY-SA 4.0
added 22 characters in body
Jun 2, 2018 at 3:48 comment added j.c. To check my understanding, $Q,Q'$ are pseudotriangles en.wikipedia.org/wiki/Pseudotriangle . I do not understand the first bullet point in your conditions on $Q''$: "there is a correspondence between vertices of $Q$ and $Q''$ and it results $v_i''=v_i'$ "? Does the first part just amount to the condition that $Q''$ must have $n$ vertices?
Jun 1, 2018 at 22:00 comment added Wlod AA Do you mean $\ \forall_{Q\ Q'}\ $ (etc.) or $\ \exists_{Q\ Q'}\ $ (etc.) ?
S Jun 1, 2018 at 17:50 history bounty started CommunityBot
S Jun 1, 2018 at 17:50 history notice added user101163 Draw attention
May 31, 2018 at 1:02 answer added Joseph O'Rourke timeline score: 4
May 30, 2018 at 20:23 history edited user101163
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May 30, 2018 at 17:20 history asked user101163 CC BY-SA 4.0