1 Perimeter Gosford Hill May 2010
2 How Much Information? How few rectangles needed to compose it? Design a rectilinear region requiring –3 lengths to find the perimeter and –8 lengths to find the area How few rectangles needed to compose it? How much information about lengths do you need in order to work out –the perimeter? –the area?
3 Two-bit Perimeters 2a+2b What perimeters are possible using only 2 bits of information? a b
4 Two-bit Perimeters 4a+2b What perimeters are possible using only 2 bits of information? a b
5 Two-bit Perimeters 6a+2b What perimeters are possible using only 2 bits of information? a b
6 Two-bit Perimeters 6a+4b What perimeters are possible using only 2 bits of information? a b
7 Which region looks to have … … the largest perimeter? … the smallest perimeter?