Golden ratio

December 16, , University of Toronto Subjects were shown faces with the same features but with different distances between the eyes and between the eyes and mouth. Faces with an average length or width ratio – which were chosen as most attractive – are framed in black. The distance between a woman’s eyes and the distance between her eyes and her mouth are key factors in determining how attractive she is to others, according to new psychology research from the University of California, San Diego and the University of Toronto. They successfully identified the optimal relation between the eyes, the mouth and the edge of the face for individual beauty. In four separate experiments, the researchers asked university students to make paired comparisons of attractiveness between female faces with identical facial features but different eye-mouth distances and different distances between the eyes. They discovered two “golden ratios,” one for length and one for width. Female faces were judged more attractive when the vertical distance between their eyes and the mouth was approximately 36 percent of the face’s length, and the horizontal distance between their eyes was approximately 46 percent of the face’s width. Interestingly, these proportions correspond with those of an average face. The ancient Greeks found what they believed was a ‘golden ratio’ – also known as ‘phi’ or the ‘divine proportion’ – and used it in their architecture and art. As it turns out, it isn’t.


The A4 rectangle I think that most paperfolders by now know the significance of a rectangle which has its sides in the ratio of one X square root of two. It has many fascinating features and paperfolders are increasingly exploring its attributes. It is, of course the shape of the International-sized papers A3, A4, A5, B3, B4 and the like , which are designated by the International Standards Organisation for all sorts of purposes. A4 has become the standard-sized business letter paper in all countries except in North America, where the stick to “letter-sized” paper 8X5 – not so very far off A4.

Reading David Mitchell’s splendid new book, “Exploring Mathematical Ideas with Origami” Which I wholeheartedly recommend to every one interested in the extraordinarily rich geometry of simple shapes of paper. I think that what I found is worthy of being dusted down and reprinted.

Adonis Golden Ratio is an exercise and nutrition program for men, by Jason Haynes (personal fitness coach) that is designed to help men lose weight and sculpt the muscles of the body into a lean, rock hard work of art, resulting in a male body that not only looks good, but is extremely healthy as well. Jason Haynes was actually, initially a.

The pentagram plays an important symbolic role in the 14th-century English poem Sir Gawain and the Green Knight , in which the symbol decorates the shield of the hero, Gawain. The unnamed poet credits the symbol’s origin to King Solomon , and explains that each of the five interconnected points represents a virtue tied to a group of five: Gawain is perfect in his five senses and five fingers, faithful to the Five Wounds of Christ, takes courage from the five joys that Mary had of Jesus, and exemplifies the five virtues of knighthood.

By the mid th century a further distinction had developed amongst occultists regarding the pentagram’s orientation. With a single point upwards it depicted spirit presiding over the four elements of matter, and was essentially “good”. However, the influential writer Eliphas Levi called it evil whenever the symbol appeared the other way up. It is the goat of lust attacking the heavens with its horns, a sign execrated by initiates.

It is the sign of antagonism and fatality. It is the goat of lust attacking the heavens with its horns.

David Lister on The A4 rectangle

Mathematician Mark Barr proposed using the first letter in the name of Greek sculptor Phidias , phi, to symbolize the golden ratio. The golden ratio has been claimed to have held a special fascination for at least 2, years, although without reliable evidence. Some of the greatest mathematical minds of all ages, from Pythagoras and Euclid in ancient Greece , through the medieval Italian mathematician Leonardo of Pisa and the Renaissance astronomer Johannes Kepler , to present-day scientific figures such as Oxford physicist Roger Penrose , have spent endless hours over this simple ratio and its properties.

But the fascination with the Golden Ratio is not confined just to mathematicians.

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What is the Golden Ratio? Hom, LiveScience Contributor June 24, The Golden ratio is a special number found by dividing a line into two parts so that the longer part divided by the smaller part is also equal to the whole length divided by the longer part. It is often symbolized using phi, after the 21st letter of the Greek alphabet. In an equation form, it looks like this: Phi is usually rounded off to 1.

This number has been discovered and rediscovered many times, which is why it has so many names — the Golden mean, the Golden section, divine proportion, etc. Historically, the number can be seen in the architecture of many ancient creations, like the Great Pyramids and the Parthenon. In the Great Pyramid of Giza, the length of each side of the base is feet with a height of feet.

The ratio of the base to the height is roughly 1. The Pyramids of Giza, built between and BC. Dan Breckwoldt Shutterstock Phidias B.

List of countries by sex ratio

Posted on July 21, by The Physicist Physicist: When things die they stop getting new carbon and the carbon they have is free to radioactively decay without getting replaced. Carbon has a half-life of about 5, years, so if you find a body with half the carbon of a living body, then that somebody would have been pretty impressed by bronze. Of course none of that helps when it comes to pottery and tools except wooden tools. Generally speaking, archaeologists make the assumption that if the grains in and around of a clay pot are, say, 8, years old, then the pot itself is roughly the same age.

Background Civilizations dating as far back as the Ancient Egyptians, the Mayans, as well as the Greeks all discovered the significance of the Golden Ratio and have thus incorporated it into their art, architecture, and structural designs.

This Divine Proportion—existing in the smallest to the largest parts, in living and also in non-living things—reveals the awesome handiwork of God and His interest in beauty, function, and order. I will first begin with shapes, then discuss how a numbering pattern and a ratio the Divine Proportion are an inherent part of these shapes and patterns and are ubiquitous throughout creation.

Let’s begin with a shape with which we are all familiar. It is the spiral commonly seen in shells. By taking a careful look at that spiral the chambered nautilus is probably the clearest example you will observe that as it gets larger, it retains its identical form. Since the body of the organism grows in the path of a spiral that is equiangular and logarithmic, its form never changes.

The beauty of this form is commonly called the “golden spiral. This spiral follows a precise mathematical pattern. We will first look at this spiral in sunflowers. By looking carefully at a sunflower you will observe two sets of spirals rows of seeds or florets spiraling in opposite directions. When these spiral rows are counted in each direction, you will discover that in the overwhelming majority of the cases that their numbers, depending upon the size of the flower, will be of the following ratio:

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Phi to 1, , , places! He lists the first 15, places. The latest record is 1, , , , places in by A. Phi in Binary Using base 2 binary , is there a pattern in the digits of Phi?

The “golden mean” — also called the “golden ratio” or the “golden section” — is designated by the Greek letter φ that is equal to about Study of its many properties dates back at least

Which is why European dating sites are one of the most widely-visited dating sites on the internet right now. Economic, political and social evolution have impacted on the way of living of European women, giving entry to do recreations beyond their home environments. On the whole, these women are certainly more oriented towards the residences and easily resign from their earlier pastimes and interests.

Quiet, dedicated, and superficially cool, and yet they hold a simmering womanly energy and also appeal that truly do the wonder. They will chuckle at your dull riddles, forgive your dangling tummy, and treat you like her King. European women possess a practical look at life. And they insure such lifestyle on preferred degree by themselves. These girls secure self-reliance way earlier compared to other ladies.

Human heart follows the ‘golden ratio’ for beauty

The reason for the differing Adonis Golden Ratio price tags is because Jason Haynes created a few different order pages, with differing price tags to test the impact of the differing prices on earnings. We simply employed Clickbank Thief software program to sniff out these coupons. Jason Haynes was actually, initially a customer who purchased the AGR system, and was so happy and stunned by the results, he became an active participant and business partner.

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Criticism[ edit ] Philosophers, such as Immanuel Kant [77] and Friedrich Nietzsche , [78] have objected to the rule on a variety of grounds. The most serious among these is its application. How does one know how others want to be treated? The obvious way is to ask them, but this cannot be done if one assumes they have not reached a particular and relevant understanding. Differences in values or interests[ edit ] Shaw’s comment about differing tastes suggests that if your values are not shared with others, the way you want to be treated will not be the way they want to be treated.

Hence, the Golden Rule of “do unto others” is “dangerous in the wrong hands,” [79] according to philosopher Iain King , because “some fanatics have no aversion to death: Cannot be a sole guide to action[ edit ] In his book How to Make Good Decisions and Be Right All the Time , philosopher Iain King has argued that ” although the idea of mirroring your treatment of others with their treatment of you is very widespread indeed… most ancient wisdoms express this negatively — advice on what you should not do, rather than what you should.

Download Golden ratio applications

Why these tattoose are so awesome Most of these tattoos have origins in some of the most ancient religions, where they are used to bring about certain results. To date, people still believe in the meaning of the various symbols and imagery used, and this has led to a widespread application of these tattoos. Meaning of these tattoos Being deeply seated in superstitions and beliefs, you can imagine these tattoos have varied interpretations.

Most people wearing a sacred geometry tattoo usually have one for the meaning it represents. There are many different designs of these kinds of tattoos, but they are usually centered on perfect geometric shapes like circles and squares.

There’s a common mathematical ratio found in nature that can be used to create pleasing, natural-looking compositions in your design work. We call it the Golden Ratio, although it’s also known as the Golden Mean, The Golden Section, or the Greek letter phi.

So, the more a body fits into the parameters laid out by the golden ratio, the more attractive it will be, both physiologically and psychologically. It’s a really interesting bit of science and evolutionary psychology, and it begs the question: How do we use this information to help you achieve your fitness goals and get the body that you want? Well, the first thing is to realize that, chances are, the body you are working so hard for is based on our intrinsic ideas of symmetry. Of course, the numbers are just everywhere in places we can’t control.

Thankfully, not many women are going to be looking closely enough at your feet and shins to make sure they add up correctly. That said, the golden ratio also applies heavily in places we can control, and the most important one by far is the most visible: As mentioned earlier, broad shoulders imply strength, power and virility, and are, therefore, a mating qualifier that makes a body appear more attractive to the opposite sex.

How Do You Measure Up If you want to build a body that is attractive in any type of wardrobe and is noticeable even from across the room, you need to optimize your Adonis Index.

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The golden ratio , g, is. The golden ratio is defined in many equivalent ways but the best known is: The ancient Greeks, being creepy numerologists with nothing better to do, were really excited about the golden rectangle and worked it into a lot of their art and architecture. Clearly, it’s the most perfect rectangle ever.

Download Face Analysis – Golden Ratio Face APK from the link provided below. The total size of this application is 14M and the minimum Android version required to .

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Alpha Male A male with dominant sexual mannerisms or characteristics; often highly sought-after by females. Alpha Females are often prized by men, but are almost universally “high maintenance” with a decided hypergamous streak. Often these women strongly object to their mate’s attention going anywhere but on her, and as a result they frequently manufacture one “crisis” after another to invite repeated attention-laden rescues.

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Adonis Lifestyle is here to help you build your ideal body shape and transform your life. He also did further graduate research and taught exercise physiology at the University of Florida. John worked in the dietary and sports supplement industry researching and developing sports and weight loss supplements for the better part of the past 8 years and he still consults supplement companies on formula and product development.

He spent 3 years as a varsity strength and conditioning coach ice hockey at the University of Guelph. John has also trained with a world class power lifting team.

Follow the Golden Rule Objectives The Golden Ratio. Early Greek mathematicians were fascinated by this ratio. Euclid, the Greek mathematician, showed how to divide which can be used to find the Golden Ratio. The Rhind Papyrus dating from B.C. is one of the oldest mathematical.

The Golden Ratio is a mathematical sequence that has been found to occur over and over again in nature. This ratio — 1: Though it has diverse applications, most people believe that the use of this ratio makes things appear more aesthetically pleasing to others. The majority of interior designers are taught to use it in their designs and you should too. Read below to find out why: Read on to find out why you should use the ratio in your interiors.

To start, visually divide up the space into two sections — a larger one that takes up two thirds of the space and houses the furniture that defines the main use for the room and the final third, which accounts for a secondary function like a separate seating area or storage. Also choose pieces that are sized close to that 2: Aim for a couch that is approximately 2:

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