# Golden-ratio Sentence Examples

The

**Golden Ratio**in humans provides balance, symmetry and beauty, just as it does to other life forms and the universe itself.I would normally use either

**golden ratio**or simplex optimization for functions where analytic derivatives are not available.Among their heritage can be included numerology (numbers and letter characters in a unified system) and the hypothetical

**Golden Ratio**.You evaluate

**Golden Ratio**beauty by measuring the proportions of an object or person and determining mathematically how close the ratio is to the**Golden Ratio**.The first step to understanding the

**Golden Ratio**is to realize the accepted full number is 1.618033989, although it can continue forever.AdvertisementThese unique properties make the

**Golden Ratio**a perfect number or more aptly, the number of perfect creation.You perhaps already know and may be surprised to learn that you've even used the

**Golden Ratio**in geometry.Scientists, mathematicians, musicians, artists, and sculptors have all proven over the centuries that you can find the

**Golden Ratio**in everything, even our solar system.It isn't enough to simply recognize that the

**Golden Ratio**exists.Upon its discovery, people put the

**Golden Ratio**to the test in everything.AdvertisementPeople began to apply the symmetry of the

**Golden Ratio**to create buildings, sculpture and other forms of art.You can see one of the best examples of the

**Golden Ratio**application in Da Vinci's famous drawing, the Virtruvian Man.Upon close examination, you'll discover that he used the

**Golden Ratio**of 1.62 to create the physical drawing of the male body.As you can see, by understanding the math behind it, you can measure any object or person to determine if it's symmetry correlates to that dictated by the

**Golden Ratio**.The closer the physical ratio is to the

**Golden Ratio**, the more beautiful it becomes.The human face is one of the most commonly evaluated by using the**Golden Ratio**.AdvertisementYou can use the

**Golden Ratio**to ensure that you're optimizing your designs and space planning for the ultimate in feng shui perfection and ultimate beauty.To create a

**Golden Ratio**symmetry design for your fireplace mantle using candles, you'll need to place the same configuration of number, order of height, color of candles and spacing of the arrangement on both sides of the mantle.Adjust candle placement until it's within the

**Golden Ratio**.You'll repeat this process with each candle placed within the rectangle to form a triangle with a

**Golden Ratio**.When it comes to the

**Golden Ratio**and the human face, a person is subconsciously recognized as beautiful based on a comparison of facial features, placement and distance between features.AdvertisementThe perfect human smile is created when the two front teeth recreate the Golden Rectangle of which you can create a Golden Triangle that in turn creates a

**Golden Ratio**.In this sense of usage, the

**Golden Ratio**becomes the deciding factor of beauty.Feng shui principles are in keeping with

**Golden Ratio**beauty and when consciously used add balance to the yin and yang energy your home interior.You can find the

**Golden Ratio**in architecture in many ancient structures.Sacred architecture is a structure created by using the

**Golden Ratio**theory.AdvertisementThe

**Golden Ratio**is unique because it's an irregular number, which means it doesn't conform to the properties associated with typical numbers, called rational numbers.This makes the

**Golden Ratio**number a perfect number and correlates to the perfection of all creation.The properties of the

**Golden Ratio**make the number impossible to write or express as a fraction or a whole number.If you want to construct a building using the

**Golden Ratio**theory, you'll need to create a Golden or Divine Rectangle, Triangle or to use as the basis of your design and all subsequent angles thereafter.The easiest way to understand the Golden Rectangle, from which the

**Golden Ratio**is derived, is to construct a square.The ratio for both rectangles should measure to that of the

**Golden Ratio**.If you were to look at a

**Golden Ratio**building and a non-**Golden Ratio**building side by side, you'd immediately declare the**Golden Ratio**building the more beautiful of the two.Human beings innately recognize the perfection and beauty of the

**Golden Ratio**in objects and those found in nature and other people.This theory has been proven over time and the appeal is attributed to the perfect proportions that the Golden Rectangle or

**Golden Ratio**creates.The master builders of the past understood the value and significance of the

**Golden Ratio**and applied it to such structures as the Great Pyramid at Giza and the Parthenon.You can find many examples of the application of the

**Golden Ratio**to modern architecture.The building's width when compared to its height reveals that every ten floors creates a

**Golden Ratio**.You can use the

**Golden Ratio**for building your home or any other structure for the perfect feng shui application.Feng shui and the

**Golden Ratio**work hand in hand since the former is just as dependent upon balance.The

**Golden Ratio**in architecture can help you find additional ways to enhance and create better feng shui designs.An example of an irrational number in mathematics, the

**Golden Ratio**is a constant that represents a ratio of two quantities and how they relate to one another.The mathematical value of the

**Golden Ratio**is an infinite number.Although mathematicians have actually carried the value of the

**Golden Ratio**to 100,000,000,000 places, it is generally expressed as 1.618 and is known as Phi.To many people the mathematical explanation of the

**Golden Ratio**may seem complicated and confusing.Da Vinci referred to the

**Golden Ratio**as Section Aurea or Golden Section.It was not until the 1900's that the term Phi was used for the

**Golden Ratio**.The

**Golden Ratio**is found in many different aspects of nature.Most people find that things that follow the patterns of the

**Golden Ratio**are pleasing to look at.Scientists have even conducted tests that show that the

**Golden Ratio**appeals to both the human brain and the human eye.Some believe that the human brain may be hardwired, or genetically programed, to find the shapes and proportions of the

**Golden Ratio**aesthetically pleasing.From the times of the ancient Egyptians and Greeks to the modern peoples of today, the

**Golden Ratio**has remained shrouded in a sense of mystique that is yet to be completely understood by science.One thing that most scientists do agree on is that Nature's perfect number seems to be the

**Golden Ratio**.An infinite number, the

**Golden Ratio**is usually expressed as 1.618.The beauty of the

**Golden Ratio**is found all throughout nature.The number of the florets in the two spirals are 21 and 34, both Fibonacci numbers, which is a

**Golden Ratio**.There are flowers that have 4, 6 or a different number of petals but these are not as common as those that follow the

**Golden Ratio**pattern of growth.In his book, The Golden Section, Hans Walser explores various aspects of the

**Golden Ratio**.Examples of the

**Golden Ratio**in nature show up time and time again illustrating the sheer perfection and exquisite beauty that exists all around us.Just as you can apply the mathematical concept of the

**Golden Ratio**to perfection in nature, you can also apply the same concept of the**Golden Ratio**in a face.An infinite number, the

**Golden Ratio**is generally expressed mathematically as 1.618.Called the Divine Ratio by Euclid, the

**Golden Ratio**is found in nature, the arts and architecture.Two important components of the

**Golden Ratio**in a face are symmetry and harmony.There are dozens of different face measurements taken to determine how close a face is to the

**golden ratio**.Is it possible that we perceive physical beauty based on the

**Golden Ratio**?That a human face that is more in proportion according to the

**Golden Ratio**is considered more beautiful?Dr. Marquardt used measurements of the golden sections of the face and facial features to arrive at the

**golden ratio**.The

**Golden Ratio**is perfection in nature, but also perfection in things manmade.The

**Golden Ratio**in a face means the face is symmetrical, in proportion and is perceived as beautiful.It is perfection in beauty as determined by the

**Golden Ratio**.Considered nature's perfect number, the

**Golden Ratio**is an infinite number found in almost every aspect of life, the arts and the universe.Mathematically known as Phi, the

**Golden Ratio**is a constant number that stands for the ratio of two quantities and how those quantities relate to each other.The

**Golden Ratio**illustrates time and again the perfection and beauty you find throughout the universe.From the smallest cross-section of a DNA molecule to the proportion between your height and the distance between your navel and your foot, the

**Golden Ratio**in humans may be the design template of the body.An infinite and constant number, the

**Golden Ratio**is more than just a mathematical fact.Throughout the centuries, the

**Golden Ratio**has been known by many different names, including the Golden Proportion, Golden Section and Divine Proportion.Often, when referring to the

**Golden Ratio**in reference to the human body, these are the terms that are commonly used.According to researchers, when most people look at a face, their perception of beauty is subconsciously based on the

**Golden Ratio**.Looking at the

**Golden Ratio**from a mathematical perspective, the infinite number is known as Phi.In many aspects of nature, the

**Golden Ratio**and the Fibonacci Sequence are very entwined.For example, every molecule of DNA follows the proportions of the

**Golden Ratio**.This useful booklet contains information about the

**golden ratio**theory that the alarm clocks use.No one knows for certain exactly when the

**Golden Ratio**was first discovered.