7. Bonus: Given a square, you can

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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ponus)) 7. Bonus: Given a square, you can cut the square into smaller squares by cutting along lines parallel to
the sides of the original square (these lines do not need to travel the entire side length of the original
square). For example, by cutting along the lines below. you will divide a square into 6 smaller squares:
Prove, using strong induction, that it is possible to cut a square into n smaller squares for anyn2 6.
Hint: you will need three base cases.
6°C ^ į
96
Transcribed Image Text:ponus)) 7. Bonus: Given a square, you can cut the square into smaller squares by cutting along lines parallel to the sides of the original square (these lines do not need to travel the entire side length of the original square). For example, by cutting along the lines below. you will divide a square into 6 smaller squares: Prove, using strong induction, that it is possible to cut a square into n smaller squares for anyn2 6. Hint: you will need three base cases. 6°C ^ į 96
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