Mathematics
Draw rough diagrams to illustrate the following:
(i) open simple curve
(ii) closed simple curve
(iii) open curve that is not simple
(iv) closed curve that is not simple
Geometrical Concepts
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Answer
(i) An open simple curve has different beginning and end points and does not cross itself at any point.
(ii) A closed simple curve has the same beginning and end points and does not cross itself at any point.
(iii) An open curve that is not simple has different beginning and end points but crosses itself at some point.
(iv) A closed curve that is not simple has the same beginning and end points but crosses itself at some point.
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