Maps of Britain capture more detail as the length segments used for the outline are shortened. With the longest straight line segments, Britain appears only as a triangle As the straight segments of the outline are made shorter, more and more detail emerges while the length of the coastline increases. For infinitely small straight line segments, the coastline of Britain is infinitely long
Maps of Britain capture more detail as the length segments used for the outline are shortened. With the longest straight line segments, Britain appears only as a triangle. As the straight segments of the outline are made shorter, more and more detail emerges while the length of the coastline increases. For infinitely small straight line segments, the coastline of Britain is infinitely long
The more complicated is the outline of a shape, the greater the total perimeter will ncrease as the line segments used to outline it are made shorter. The upper shape a is simple and so has a small ratio estimated perimeters with long and short estimator seg ments(1.1041). The lower shape is complicated so revealing a greater increase in peri- meter with short estimator segments to yield a larger ratio(1.1611) A. Ratio 1:1.041 B. Ratio 1:1.611
The more complicated is the outline of a shape, the greater the total perimeter will increase as the line segments used to outline it are made shorter. The upper shape A is simple and so has a small ratio estimated perimeters with long and short estimator segments (1.1041). The lower shape is complicated so revealing a greater increase in perimeter with short estimator segments to yield a larger ratio (1.1611)