If the width is known use the formula W / 1.62 = H. This would be a more suitable width for the drawers. Double check by dividing the larger by the smaller. Using the previous formula (Ht x 1.62 = W) the case should be 61 ½” wide. In order to get the case itself in ratio lets subtract the top(3/4”)and any moldings(1 ¼”) and the kick ht(3”). Let's assume we want to build a dresser and would like to use the golden ratio. Using the formula 30/1.62 gives a height of 18 ½”. The trade off is it will require a bottom and top rail of 1 ⅞”.Let’s say you would like a 3” frame. Using this system not only is the frame in ratio but also the mirror. Using the formula W / 1.62 = H we get a mirror height of 19 ¾”.ĭouble check by dividing the larger by the smaller. But it leaves us with 1” stiles and 2” top and bottom rails. With the Fibonacci sequence we see that a mirror size of 34”w x 21”h will fall within the Golden Ratio. for the frame, let’s figure the mirror size. These numbers can be used as a shortcut for estimating sizes within the Golden Ratio. It is of note that from the number 5 and following the number divided by the preceding number equals 1.62. In 1202 Leonardo of Pisa, known as Fibonacci, published a sequence of numbers. Biologists, artists, musicians, historians, architects, psychologists, and even mystics have pondered its use and appeal. The golden ratio has fascinated architects and intellectuals of diverse interests for at least 2,400 years. The aforementioned frame will be golden if the height is 22.22” (22 ¼” is close enough.)ĭouble check by dividing the larger by the smaller. If the width is known use the formula - W / 1.62 = H or 36” / 1.62 = 22.22” The aforementioned frame will be golden if the width is 38.88” (38 7/8” is close enough.)ĭouble check by dividing the larger by the smaller. So if the height is known use the formula Ht x 1.62 = W or 24”x 1.62 = 38.88” I’m assuming everyone understands that when a backslash is used in a formula the backslash means ‘divided by’. In order to make the picture frame golden the ratio tells us a/b = a+b/a or 36/x = 36+x/36. Because the ratios do not equal each other the frame is not a golden rectangle. When we break these down to their lowest common denominator you get 5/3 = 3/2. The golden ratio says that the ratio of 36”(a, the larger) and 24”(b, the smaller),which is written 36/24, will need to be the same as the ratio of (36” + 24”) is to 36”, or 60/36. You think that a frame 36”w and 24”h but you would like to apply the golden ratio to it. In mathematics and the architectural arts two quantities or lengths are in the golden ratio( φ)if the ratio between the sum of those quantities and the larger one is the same as the ratio between the larger one and the smaller.įor example – lets say that you like to build a picture frame. And as a result, architects, artists, book designers, and others have been encouraged to use the golden ratio in the dimensional relationships of their works. The Egyptians, who made extensive use of it in the building of temples and pyramids, called it the sacred ratio.īeginning in the Renaissance, a body of literature on the aesthetics of the golden ratio developed. The structures of the Roman classical era are said to be designed within the Golden Ratio. 490-430 BC), made extensive use of the golden ratio in his works. Since ancient days the golden ratio in the form of the golden rectangle has been used extensively. Its use is considered to create pleasing balance and symmetry in design. The Golden Ratio is designated by the Greek letter ‘PHI’.
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