



Tools  Math 'Creating Measures' Compactness Task, Example #3
Squareness, Example #1 (solution)  Steepness, Example #2 (solution) Compactness, Example #3 (solution)  Crowdedness, Example #4 (solution) Awkwardness, Example #5 (solution)  Sharpness, Example #6 (solution)
Malcolm Swan
Jim Ridgway
Over recent years, a number of geographers have tried to find ways of defining the shape of an area. In particular, they have tried to devise a measure of 'compactness'. You probably have some intuitive idea of what "compact" means already. Below are two islands. Island B is more compact than island A. "Compactness" has nothing to do with the size of the island. You can have small, compact islands and large compact islands.
Sketch a large 'lesscompact' island and a small 'lesscompact' island. One person has suggested the following way of measuring "compactness."
Compactness, Example #3 (solution)  Crowdedness, Example #4 (solution) Awkwardness, Example #5 (solution)  Sharpness, Example #6 (solution)

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