At the end, using some tools of the graph theory, it has been proved that they are one of the best arrangements of squares (or rectangles) inside a rectangle, from the point of view of connectivity. Then adjacency among the squares (which are arranged inside them) is defined, by considering each square as a room or an architectural space. This work begins with an algorithm which constructs a Fibonacci rectangle and a golden rectangle. Using some mathematical tools, this paper tried to approach one of the properties of the golden rectangle (or the Fibonacci rectangle) and its significance to architectural design, which could lead to state one hypothesis about why architects have used them so often. In this way, a lot of well-known architects in the history, knowingly or unknowingly, have employed either the golden rectangle or the Fibonacci rectangle in their works. After exact mathematical measuring, it will still come down to using your eyes to determine if you need to make small changes in order to render your project more visually appealing.It is often found in the literature that many researchers have studied or documented the use of golden rectangle or Fibonacci rectangle in architectural design. Many small adjustments, such as using mouldings to make something look larger, or changing the length of the legs slightly on a piece of furniture, can improve the proportions and resulting visual appeal. Even incorporating some of the principles of the golden rectangle into your project will produce a much better result than totally ignoring this useful design tool. Almost everything that you design will have to fulfill a certain set of requirements before aesthetic considerations are taken into account. Perfect proportions are often impractical when designing for the real world. This method would also work when designing shelving, where the shelves would be designed with graduated spacing. You might have to vary the starting size a few times when you work out your calculations, in order to have a completed set of drawers that will work with your project. Starting with the narrowest drawer you can increase the size by multiplying the height of the drawer by Phi (1.618), and then multiplying the height of that drawer by Phi to get the height of the second drawer, and so on, until you have the number of drawers you need to fit your piece. Graduated drawers can be designed using the golden ratio to get the perfect proportions. Also, don’t forget that rails, stiles and other elements can be calculated using the golden ratio to determine their dimensions. There are elements such as table legs, drawers, and hardware that can all be figured in using the ratio. The golden ratio may still be applicable in other aspects of a piece. Even if you are not exact on the dimensions, the human eye can still fill in the blanks and make mental adjustments for slight variations on a theme.ĭesigning furniture does come with certain restrictions: a table must be a specific height, a certain number of shelves may be required for a bookcase, or a cabinet might have to be built to fit a limited area.
The most important focal points should go in the smaller rectangles. This framework can help you decide where to place subjects inside the frame.
Golden rectangle series#
This would be a golden rectangle divided by the ratio leading to a series of progressively smaller squares and rectangles. Don’t design a piece that is too big or too small in order to fulfill the requirements of a golden rectangle. The golden mean used as a spiral can be visualized as squares and rectangles. Of course you must remember that function is still more important than form. The golden solid can be expressed as the three dimensional version of the golden rectangle, with the proportions extending to create a volume. Even smaller details such as the placement of drawer and door hardware can be guided by the golden rectangle. It can be the size of the carcase itself or the drawers and doors in it.
The golden ratio can be used as a guide when sizing various project parts during the design stage. This ratio has proven to be so pleasing to the eye that it has ended up in many artists and woodworkers’ masterpieces. The same ratio can be found in the lengths of the bones in your hand and in the construction of the pyramids of Egypt. In nature, this proportion can be found everywhere, from the human body (where the eyes are set in the head) to the spacing of the planets from the sun. This is a naturally occurring proportion that repeats itself easily. If you happen to add the lengths of the two sides together, you would also find that the golden ratio applies to the sum of the two sides relative to the longer of the two original dimensions. In a golden rectangle, the longer dimension will be 1.618 times the length of the shorter dimension.