Assignment #9

Due: 15 March, 1999

Squarez

Suppose we take a unit square, i.e. one with sides of length 1. To the middle of each side attach a square with sides 1/3 the length. To the middle of each side of the resulting object attach a square with sides 1/3 the length. To the middle of each side of the resulting object attach a square with sides 1/3 the length, and so on.

[squarez]

Consider the object that you would have at the end of this (infinite!) process.

1. What is the length of the border of the limit object? [4]

2. What is the area of the limit object? [5]

3. What is the limit object very close to being? [1]

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Maintained by Stefan Bilaniuk. Last updated 1999.12.03.