Is there a dilation that maps shape III onto shape II? If so, what is the scale factor and is it an enlargement or a reduction?

Thats where they was ported and the fields that noone really knew much about needed tended, so they put slaves out there do free work and huge profits and so on the north decided to hold its own and was more different way of survival did not have same climate conditions to afford protecting slaves from winter so expenses be diff from south