square loops

quite a big square loop

some more modestly sized ones

 some rules:

it's probably better that students choose their own shapes to explore but in case they don't find enough...

explore the relationships between the three variables

students could explore a growing 'family' sequence

maybe an obvious 'family' to explore

"what growing families could be explored?"

some that might be suggested...

what are the general terms for the:
number of tiles
interior perimeter (free edges)
outside perimeter (free edges)

a powerpoint is here

see also 'octagon loops'

and 'hexagon loops'