![The Heart of Mathematics: An Invitation to Effective Thinking](https://www.bartleby.com/isbn_cover_images/9781118156599/9781118156599_largeCoverImage.gif)
Counterfeit gold? Draw a rectangle with its longer edge as the base (it could be a square, it could be a long and skinny rectangle, whatever you like, but we suggest that you do not draw a Golden Rectangle). Now, using the top edge of the rectangle, draw the square just above the rectangle so that the square’s base is the top edge of the rectangle. You have now produced a large new rectangle (the original rectangle together with this square sitting above it). Now attach a square to the right of this rectangle so that the square’s left side is the right edge of the large rectangle. You ‘ve constructed an even larger rectangle.
Now repeat this procedure—that is, append to the top of this huge rectangle the largest square you can and follow that move by attaching the largest square you can to the right of the resulting rectangle. Start with a small rectangle near the bottom left corner of a page and continue this process until you have filled the page. Now measure the dimensions of the largest rectangle you’ve built and divide the longer side by the shorter one. How does that ratio compare to the Golden Ratio? Experiment with various starting rectangles. What do you notice about the ratios?
![Check Mark](/static/check-mark.png)
Want to see the full answer?
Check out a sample textbook solution![Blurred answer](/static/blurred-answer.jpg)
Chapter 4 Solutions
The Heart of Mathematics: An Invitation to Effective Thinking
Additional Math Textbook Solutions
A First Course in Probability (10th Edition)
Elementary Statistics: Picturing the World (7th Edition)
Calculus: Early Transcendentals (2nd Edition)
Elementary Statistics
University Calculus: Early Transcendentals (4th Edition)
STATISTICS F/BUSINESS+ECONOMICS-TEXT
- There are 4 radar stations and the probability of a single radar station detecting an enemy plane is 0.55. Make a histogram for the probability distribution.arrow_forwardof prove- Let (X, Td) be aspace. show that if A closed set in X and r & A, thend (r,A) +0arrow_forwardQ/prove:- Let (X, Td) be aspace. show that if a ex, then {a} is closed set (every finit set is closed set).arrow_forward
- not use ai pleasearrow_forwardnot use ai pleasearrow_forward9:43 AS く Akbar © Printed in the United States 15) Scale: 1 cmal unit on both axes .ill 64% The graph above shows a straight line QT intersecting the y-axis at T. i State the co-ordinates of T. ii Calculate the gradient of QT 16) iii Determine the equation of QT. A (-1, 9) ||| i L Г (5 marks)arrow_forward
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781938168994/9781938168994_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)