Unformatted text preview: Golden Rectangle, so if we start with the small one and reverse the process, we'll get the large one. Or, if we start with base b and height h , then b h =∅ , the Golden Ratio. When we add the square, the long side is b + h and the short side is b, and then b h h = b h 1 b h = ∅ 1 ∅ = 1 1 ∅ and we know that ∅= 1 1 ∅ so again the ratio is Golden.] #16. The area of G is bh . The dimensions G' are h and b – h so G' has area h(b – h) . So the ratio is h b − h bh = b − h b = b h − 1 b h = ∅− 1 ∅ because G is Golden. The answer does NOT depend on b or h . Surprise is in the eye of the beholder!...
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This note was uploaded on 03/19/2008 for the course M 302 taught by Professor Irwin during the Spring '08 term at University of Texas.
- Spring '08