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Second image showing a maximal antirectangle.
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Joseph O'Rourke
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Could you please clarify your definitions via the example polygon below?
   AntiRectAntiRect1
Is $\{a,b,c,1,12\}$ an antirectangle of size $5$? Is this a maximal antirectangle? What is a largest antirectangle that includes a corner in this example?


Again, just illustrating the definitions, here is a maximal antirectangle, following the OP's comments:
   ![AntiRect2][2]

Could you please clarify your definitions via the example polygon below?
   AntiRect
Is $\{a,b,c,1,12\}$ an antirectangle of size $5$? Is this a maximal antirectangle? What is a largest antirectangle that includes a corner in this example?

Could you please clarify your definitions via the example polygon below?
   AntiRect1
Is $\{a,b,c,1,12\}$ an antirectangle of size $5$? Is this a maximal antirectangle? What is a largest antirectangle that includes a corner in this example?


Again, just illustrating the definitions, here is a maximal antirectangle, following the OP's comments:
   ![AntiRect2][2]
Source Link
Joseph O'Rourke
  • 150.9k
  • 36
  • 358
  • 958

Could you please clarify your definitions via the example polygon below?
   AntiRect
Is $\{a,b,c,1,12\}$ an antirectangle of size $5$? Is this a maximal antirectangle? What is a largest antirectangle that includes a corner in this example?