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They used the concept of placing rectangles, taking the reference of skyline, good searching technique to determine the placement position for the next rectangle to be packed and also used efficient data structure for storing the details of the remaining rectangles.
For instance, with A=1 and B=2, 10A+B is simply the number 12. (10A+B)² is the area of the whole square, while 100A² the area of the biggest square inside, B² is the area of the smallest square, and 10A×B is the area of each of the two remaining rectangles.
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The Lucas sequence shares the recursive relation of the Fibonacci sequence; that is, xn = xn − 1 + xn − 2. If a golden rectangle ABCD is drawn and a square ABEF is removed, the remaining rectangle ECDF is also a golden rectangle.
Cut the remaining rectangle, and the crease will help you.
Get the remaining 2 rectangles.
The techniques are based on a greedy search where the lowest available space is determined under the reference line; the fitness of the remaining unplaced rectangle is determined and based on the fitness value the best-fitted rectangle is selected.
Fill the remaining three dough rectangles, and then repeat the process with the remaining half portion.
4. Roll the remaining dough into a rectangle ⅛ inch thick.
Roll out remaining dough to a rectangle about 20 by 10 inches.
Stick this handle through the remaining hole on the rectangle, and attach with wood glue.
With wrong sides together, encase the three remaining sides of the rectangle with a one-inch (2.5cm) wide piece of tape.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com