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GOLDEN RATIO: The Divine Proportion

August 14, 2009, 4:20 pm
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The Golden Ratio, also known as Phi, popularized in the works of Leonardo da Vinci is believed to be the "Divine Proportion" present in nature, art, music, the Bible, the solar system and the universe basically.

Golden ProportionMonalisaLeonardoVitruvian
The Golden Ratio which measures approximately 1.618 can be derived through the Fibonacci numbers. You can get this ratio by dividing a number with the previous number in the sequence.

These Fibonacci numbers are achieved by adding the 2 previous consecutive numbers to obtain the next number in the sequence, starting with 0 and 1 as given values.

0,1,1,2,3,5,8,13,21,34,55,89,144,233,377, 610, 987, and so on.

The ratio between these numbers gets more consistent with 1.618, specifically at the 14th and following series.

This golden ratio is believed to be the ideal proportion often used as a standard for beautiful measures in art, architecture, number sciences and other areas including the human anatomy.

ideal proportion
The figure above represents 1 unit and it's corresponding golden ratio. You can find a lot of these segments in the human body.

body proportion

From the illustration above, we can see several occurrences of the golden ratio found in the human body

Sole to navel (1) : Sole to crown (Phi)
Sole to knee : Sole to navel
Navel to shoulder : Navel to crown
Knees to calf muscle : Knees to sole
Navel to mid-thigh : Navel to knees
Navel to sternum or mid-chest : Navel to base of throat
Throat base to temple or brow bone : Throat base to crown
End of calf muscle down to ankle : Calf muscle to sole
Mid-thigh to start of kneecap : Mid-thigh to end of kneecap
Navel to crotch : Navel to mid-thigh
Navel to sternum base : Navel to sternum or mid-chest
Throat base to earlobe : Throat base to top of ear or brow bone
Brow bone to hairline : Brow bone to crown
Nose to chin : Nose to base of throat

More studies are being done in finding the golden ratio in the human face and hand. But these are only some of the occurrences of the golden ratio in our anatomy. Certainly, there are more of these beautiful proportions out there ranging from the extraordinary to the mundane.

Scientists in various fields whether it be anatomy, chemistry, physics, math, astronomy, theology and also in the fields of music, architecture, and art continue to be fascinated with the golden ratio. It's even believed to be found in our DNA. Maybe this is one reason why we ourselves cannot help but admire and continue to search for the perfect body. It's in our genes.

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Beautiful Proportions of the Face

August 15, 2009, 2:12 am
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On my previous post, we introduced the golden ratio and its relevance to the beautiful proportions present in art, science, nature and the universe.

In this article we are going to discuss the golden sections that can be found in our own body that registers as harmonious or beautiful proportions to the human eye.

josie_maran_face_beautiful proportion
The picture above is of American model, Josie Maran. Most people will already consider her to be beautiful even just by looking at this black-and-white photograph.

Some people will attribute the beauty of a face with symmetry, and they're right. But along with symmetry, you must first have a beautiful proportion to begin with. Because without this, wouldn't you be just doubling your flaws?

The proportion I'm referring to is the golden ratio which is prominent in the works of Leonardo da Vinci who is an artist, architect and inventor among other things. It was said that da Vinci relied on this golden ratio to attain the beautiful proportions that are consistently found in his artworks such as the Mona Lisa and the Last Supper.


The golden ratio pertains to a golden section which is simply a line segment but with a distinct measure of 1:1.618. From this same ratio, the golden rectangle is derived. The golden rectangle is often used in architecture and other computational sciences but its applications are not limited there.

In this next picture, we can see some golden sections along Josie Maran's face.

golden_ratio_face
These are only some of the sections, but as you can see there are plenty of 1:1.618 proportions in her face :

~ The distance between the end of one brow to the beginning of the other. Inversely, you're going to get the same measure. Thus, symmetry is also present in her features.
~ The same can be said about the distance between the end of one eye to the start of the other.
~ Vertically, you can also see golden ratios on the distance between her hairline to her brow bone to her chin and
~ The length of her nose to to her mouth.

It's these measures that give her a beautiful proportioned face.

Another way to show her beautiful proportions is through the golden rectangle. This is a somewhat easier way to measure facial proportions since this rectangle is a combination of one or more golden sections.

golden_rectangle_face
Josie's face is almost completely proportional in every feature.

Of course, beauty is not something you can measure or compute with numbers. A beautiful spirit that resonates to physical beauty comes from within and cannot be faked or fabricated. The most important thing is to take care of yourself - your mind, your body and spirit. If you do those things and focus on the possibilities ahead, then you can be sure these beautiful proportions will simply follow.

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Beautiful Proportions of a Woman's Body

August 18, 2009, 12:24 am
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We've previously discussed about the golden ratio and its relevance to beautiful proportions in nature, science, art and other aspects of the universe including our anatomy.

We're going to go further into the golden sections that can be found in the human body which translates as harmonious or beautiful proportions to the human eye.

The picture below is of Brazilian model, Ana Claudia Michels. Some important points of the body that we'll be using are the crown, neck or base of the throat, upper body, navel, and limbs. Given these references, we're going to start looking for body measures that would give us that beautiful proportion which instinctively registers to our brains even without the use of measuring kits.

woman_body_beautiful proportion_ana claudia
Several occurences of the golden section or 1:1.618 measurements are found throughout her form.

From the crown to the tips of her hand as smaller segment (1) and from crown to sole as phi (1.618). When inverted starting from the sole, the same measure still gives us a golden ratio of the 'Sole to waist : Sole to crown'.

There are plenty of other measurements as you can see. You can check out this post about the beautiful proportion of the human body for a more detailed illustration.

Another way to measure a beautiful proportion is with the use of the golden rectangle. This rectangle is also derived from the golden section and is commonly used in architecture but it can also be applied to other objects. I have a post using the golden rectangle to find the beautiful proportion of the face. But for now, we're going to apply it in finding beautiful measures in the female body.

In the picture below, you can see 4 golden rectangles. Although, there are certainly more occurences of these rectangles, I'll just keep it down to 4 to avoid clutter.

ana claudia_beautiful proportion_woman_body
The pink rectangle measures the distance of her shoulder to the width of her neck. The distance is symmetrical to her other shoulder thus giving us two rectangles intersecting to form a golden rectangle.

The green rectangle is rotated to measure the distance between her chin to her lower chest versus the distance between her navel to her upper chest. This also creates a golden rectangle with the middle rectangle showing the perfect placement for the breasts.

The blue rectangle is a different rectangle pattern but still a golden rectangle only this time the wider part is at the middle. The lines within the rectangle might suggest the best center for a beautiful proportioned breast. It starts at the shoulders ending on the far end of the neck and inversely, starting from the other shoulder.

The red rectangle measures the hips to the mid-thigh or pelvic bone. This is further emphasized by the muscle line on her stomach creating almost a straight line from her stomach down to her thighs.

Now that we know more about what is an ideal body proportion - or at least what registers as beautiful proportions to our eyes, maybe we can use this information to achieve a beautiful fashion style even without the fashion model figure.

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How to have beautiful facial proportion

August 18, 2009, 8:06 pm
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Facial proportion often determines whether the features of a person is aesthetically pleasing or not. These facial features instinctively register as beautiful proportions to our brain even without us directly measuring it. Thus, a beautiful face is most of the time appreciated regardless of nationality, color, gender and other factors.

Using the golden ratio, which I've discussed previously in earlier posts, we can find some ways to achieve beautiful proportions in the face - without taking drastic measures such as cosmetic surgery just for the sake of beauty.
This next picture will hopefully give you a graphic representation of some tips for creating good facial proportion.

face_beautiful proportion_beauty_josie maran

The eyebrows ( Pink Rectangle ) can make a huge impact on your look without breaking the bank.
  Φ The ends of the brow arc land on the same line for both
  Φ The end of the brows are aligned with the cheekbone
  Φ and the length of the brows should be 1.618 greater than the distance between them

Lips : ( Blue-Red-Blue Segments )
  Φ around 1.618 wider than the distance between the lip corners to the side of the face

Nose : ( Blue Rectangle )
  Φ distance from the left corner lip to the left nostril should be around half the width of nose.
  Φ The same goes for the corner right lip and the right nostril.
  Φ Notice also how the inner eyebrows by extension are aligned to the nostrils. This could also be used as another guideline for shaping the eyebrows.

More points like these can be seen in my post about face proportions, but I consider these three points to be the most significant to achieve a well- proportioned face.

Understandably, not all of us have as good proportions as this model's face does. Fortunately, there are simple ways to make up for that. As they say, it's not all about what you've got but in how you use it. Even models don't start out as beautiful as they come out in photoshoots. But with makeup, or even a little facial muscle training, our face can be sculpted into its fullest 'pretty' potential.

Φ If your lips are not wide enough for your nose, the best solution would be to go natural on your lip color. Nude or light lip colors such as light pinks or peaches or any shade that comes close to your natural skin tone can blur the outlines of your lips. This will allow people to adjust their perception and see a beautiful proportion of your lips and nose.
Smiling is a very good strategy as well. You may have noticed how most models and celebrities have a way of smiling when they're faced with cameras. It takes a little effort and concentration to pull this off. Bu, in the long run, you'll have trained your facial muscles and your 'best smile' will come more naturally to you.

Φ If you have thin lips and want it to appear fuller, you might want to use a glossy finish. You can strategically place the gloss on areas that you want to plump up like at the center of the lower lip. If you want, you could try out some lip-plumping formulas and find which one works best for you.

Φ For those with full lips, a matte finish would be best to avoid sheen which has a tendency of making a certain area appear fuller. Try channeling Angelina Jolie, with her half-open smiles that separate the upper and lower lips to create slimmer segments as opposed to closed smiles which make lips appear fuller.

The main area you should concentrate on to improve facial proportion is your eyebrow. It's also the easiest part to change although some might not quite have successful results. But that's no reason to feel bad. Even celebrities have a go-to person just to have those perfectly shaped brows.

eyebrow_beautiful proportionbeautiful proportion_1beautiful proportion_2

Φ First tip, the brows should have equal lengths for symmetry. You can fill in sparse areas of your desired brow shape using an eyebrow pencil which is a few shades lighter than your eyebrow color. Do this sparingly using short, light strokes and use eye shadow for your finishing touch.

Φ Next, the distance between the fullest part of the eye to the brow should be close to the 1:1.618 ratio, with the eye as the wider portion. This can be achieved by plucking more at the ends of the brows where there are more unruliness while doing only minor clean-up in the middle.

face_beautiful proportionΦ Do not overpluck as this will compromise the thickness of the brows in comparison to your eyes. My rule for this is that the bigger your eye-shape is, the thicker your brows should be.

Φ If you're wearing eye makeup, make sure by the end of the application you've still maintained the same proportions you had before. Don't let your eyes look to close or too far from each other as this will ruin a beautifully proportioned face. Eye make-up is a whole other topic in itself.


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Body Shapes of Women

August 19, 2009, 6:29 am
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Boys and girls generally start out with the same body shape. The best way to tell the two apart would probably be through their hairstyle or the clothes they wear. But then puberty hits and that's how the division started.


Banana body shapes have almost the same width throughout their bust, waist and hips. If you have less than 9-inch measurement variation from the waist to the chest or hips then you're most probably banana-shaped. These women store fats in their middle parts such as the chest, abdomens, buttocks and face thus giving them a somewhat straight appearance. This is also referred to as the Rectangle body shape. Banana-shaped celebrities include Kate Hudson, Keira Knightley, and Gwyneth Paltrow.

Apple body shapes have wide upper bodies starting from the shoulders tapering down to the hips and thighs. They store fats in their upper body especially in the chest, abdomen and face. Banana and apple-shaped women are believed to have high androgen levels, which is a male hormone, thus their bodies more closely resemble a masculine form. This is also referred to as the Inverted Triangle body shape. Apple-shaped celebrities include Angelina Jolie, Catherine Zeta-Jones, Elizabeth Hurley and Demi Moore.

Pear-shaped body types are narrower on top with wide hips and upper thighs. If you have a 0.8 or lower waist-hip ratio (divide your waist by your hip measurement), then you fall under the pear-shape category. Unlike the first two, these women have more of the female hormones called estrogen. They store fats in the lower body parts like the abdomen, hips, buttocks and thighs. This body shape is also called the Upright Triangle body shape. Pear-shaped celebrities include Beyonce Knowles, Kate Winslet and Sandra Bullock.

Hourglass body shapes have proportional width of the upper and lower body cinching at the waist. This is also referred to as the Mirrored Triangles or Opposing Triangles body shape and is believed to be the "ideal body shape". Hourglass-shaped celebrities include Halle Berry, Scarlett Johansson, Cindy Crawford, Marilyn Monroe and Salma Hayek.

woman_body shape
A woman's body shape is determined mainly by these four factors
Φ Skeletal structure : This is the most dominant part and is difficult if not impossible to change.

Φ Muscular structure : We develop muscles in various areas of our body depending on the activities that we do. Muscle development through exercise is the most recommended method of altering our body shape. More muscle = More calories burned.

Φ Fat deposits : Women store fats in different parts of their body. Some store it in their bellies, abdomens, chest, butt, thighs or a combination of these places. If not monitored, this can become a health issue later on.

Φ Hormones : Serves as the catalyst for these changes. Hormones, namely estrogen, start to do their work when girls hit puberty and continue to fluctuate throughout a woman's life especially during pregnancy, childbirth and menopause.

Since all women have unique body traits, these shapes may come in varying degrees. Even women with the same measurements need not necessarily look the same.

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Beautiful proportion for eyebrows

September 8, 2009, 10:26 pm
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The eyebrows are the easiest and most effective way to enhance your face. Our eyebrows happen to be a very important reference point for many of our facial features especially the eyes, the width of the nose, the width of the entire face, and the right shape of the eyebrow's arc significantly flatters the shape of the cheekbones.

To properly shape the eyebrows, it's important to have some sort of guidelines to achieve the right brows for your face. For this purpose, we're going to use the golden triangle which is derived from the golden ratio.


To create the triangle guideline for your eyebrow, you'll need to determine the length of your eyebrow and where to properly place the arc. In the picture above, you can see on the right a golden rectangle, the longer side being 1.68 times longer than the shorter side.

Realistically, this doesn't have to be the exact measures since these are just guidelines but as much as possible the length of the nose should be longer than the eyebrows by about 50% to 60%. From the first picture we are able to create a triangle found on the right picture. This will be our basis for shaping the eyebrows.


On the picture above, the larger triangle is showing the right length of the eyebrow while the smaller triangle shows the placement of the eyebrow's arc. If your eyebrows, eyes and nose are not as aligned as this model's features, just try to find a middle ground among the three. It would help if you follow the golden ratio 1:1.618 rule where your eyebrow is the 1 unit and the length of your nose is approximately 1.618 times longer than the brow.

For the smaller triangle, the reference point for the nose is where it starts to arc for the nostril. The length of this point to the eyebrow should be your 1.618 unit and from there you can find the right placement for the eyebrow's arc. Again, this isn't an exact science and it's best just to follow your natural shape. These tips are only meant to enhance, not completely change, your eyebrows


It's also useful to check the distance of the eyebrow from your eyes. The fullest part of the eye (green segment) should be around one-half more than it's distance from the brow (yellow segment). Since eyebrows are also used for showing expressions, having too high eyebrows will give you a surprised look while brows that are close to the eyes will make you look somewhat furious - even if you're not.


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The Face >> Camilla Belle

August 9, 2010, 8:29 pm
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The picture above shows the golden ratio measurement of Camilla Belle's Face

There are two horizontal line measurements, the green-yellow and the red-blue lines:

Φ The Green-Yellow line shows the ratio along the eyebrows, 
wherein the green segment measures the outer end of one eyebrow 
up to the beginning of the opposite brow and 
the yellow segment measures the length of one eyebrow

Φ The Blue-Red line shows the distance along the eyes,
wherein the blue segment measures the outer end eye to the nose bridge and 
the red segment measures the remaining distance to the outer end of the other eye

You can also find two vertical line measurements, the orange-purple and the turquoise-cyan lines:

Φ The Orange-Purple line shows the entire length or height of the face,
wherein the orange segment starts at the tip of the forehead to the nose tip
and the purple segment measures the distance from the nose down to the chin

Φ The Turquoise-Cyan line measures the nose length in proportion to its distance to the bottom lip.

These are just some of the guidelines for golden proportions along the face. You may find these measurements are very achievable with makeup or with natural enhancements, with no need for drastic and often dangerous surgery.

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Angelina Jolie : Facial Proportion

October 12, 2010, 7:31 am
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Let's find some beautiful proportions in Angelina Jolie's face.

All of the segments here are golden ratios measuring 1:1.68. The purple line is the shorter segment and the red line is 1.68 times longer than purple segments.


The picture above shows the vertical measures of Angelina's face.

Φ The first line shows the distance of the eyebrow to the nostril to the bottom lip.
Φ The second line is the distance from the hairline to the nosetip to the chin.
Φ The third line is the inverted version of the second line. It shows the distance from the hairline to the eyebrow to the chin.
Φ The fourth line is the distance between the eyebrow to the fullest part of the eyelid to the rim of the eye.


The picture above shows the horizontal measures of Angelina Jolie's face.

Φ The first line shows the length of one brow in proportion to the distance between the end of one brow to the beginning of the other eyebrow.
Φ The second line this time shows the length of one eye and the distance to the end of the other eye.
Φ The third line shows the width of the nose in proportion to the distance from the cheekbones
Φ The fourth line shows the width of the lips in proportion to the distance from the jawline

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Victoria's Secret Fashion Show 2010

November 14, 2010, 7:57 am
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Victoria's Secret Fashion Show 2010 : Boudoir

November 19, 2010, 3:53 am
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Victoria's Secret Fashion Show 2010 : Jungle

November 29, 2010, 1:59 am
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Ideal Body Proportions

December 21, 2010, 6:22 pm
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Out of the four common body shapes, the banana and hourglass shapes are proportional. Hourglass bodies have voluptuous upper and lower body proportions while banana body-shapes have more of a slim, model-type body. As long as the torso and hips appear balanced, you're considered to have an ideal body.


The two remaining shapes, however, have disproportional upper and lower bodies. For apple-shaped women, their torso is significantly wider than their hips while pear-shaped women have very small torsos in comparison to their lower body. This is common among many women, but unfortunately for some the difference is very noticeable. This is where dressing for your body type becomes really helpful.


Angelina Jolie has an apple-shaped body. The photo on the left was how Angelina looked like in her 20's while the one on the right is how she looks in her 30's. There's very little difference in the dresses that she wore - they're both column dresses, made of metallic fabric and tied at the waist. The difference is that the second dress has a low neckline, which lessened the bulk at the chest, and it also has a more defined billow from the tucked-out waist. The extra material at the bottom of the dress also helped widen at the base and balance out her broad shoulders.


Here's another example of better fashion choices for apple-shaped bodies. Although, the first dress is not too bad. Again, there's very little difference between the two dresses - both are black, and they both have minimal coverage on top but the second dress defined her body more beautifully. As you can see at the left photo, her torso are almost the same width as her hips. At the next photo, the corseted waist of her dress helped make her hips look wider. Her torso seems narrower, too, thanks to her halter-neck dress style.

These are just some of the ways of strategically dressing for your body type. With just little tweaks, you can already make a very big difference in the way you look. I'm sure some of you already know these tricks. Being an apple-shaped girl myself, I keep looking for ways to dress that would help me look more proportional and I'm just sharing some tips that I hope will help those who are having the same problem.

I just have to point out that, I do NOT encourage women to go through surgery or extreme dieting just for the sake of having an ideal body. The truth is, our bodies change all throughout our lives. Even if you have the body that you want right now, there's no telling what kind of transformation you'll have in the future.

Body make-overs naturally happen all the time due to hormonal changes, a new diet or exercise, and a myriad of other reasons. That said, you don't have to wait for any of that to happen just so you can sport a new look. Using fashion strategically can go a long way plus it's fun and pain-free, certainly less-painful than surgery.

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Calculate measurements using the golden ratio

January 28, 2011, 2:52 am
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Before we go further into our topic, I'd like to show you how to calculate the measurements you have using the golden ratio, just in case you didn't know how.

x : y = 1 : 1.618

The left side of the formula above is supposed to contain your current measurements, with the variable x as the shorter (1) segment and the variable y as the longer (1.618) segment.

But in order to get an exact value, only one variable should be unknown. So you will have to provide one measurement, for example the distance from the bottom lip to the glabella, as a given and then we will measure it against a particular segment to find the golden ratio equivalent of the given and the variable measurements.
 


In the picture above, the longer (1.618) segment is the red line and the shorter (1) segment is the blue line. Since the eyebrows are a 'less-fixed' facial feature or something that's easier to change compared to the other facial features, we will consider it as the value that we need to find. To find the value of the blue(1) segment, the formula will now be:

x : bottom lip to glabella = 1 : 1.618

We will now substitute a value for the 'bottom lip to glabella' which is around 4 inches on average. You can also use your own measurement, starting from the center of the bottom lip going up to the middle of your forehead, right between the eyebrows. Using your own measurement or by substituting it with 4 inches:

x : 4 = 1 : 1.618

We now combine the outer values on one side of the equation and the inner values on the opposite side:

x(1.618) = 4(1)


then, transpose the 1.618 so that only the x variable remains on the left side of the equation:


x  =   4(1)  
      1.618
  
         x = 2.472 inches 

This is now the golden ratio measurement from the glabella to the outer end of the brow for a 4-inch measurement from the bottom lip to the glabella.

For finding the value of the longer (1.618) segment, such as in this next picture wherein the eyebrow measurement falls on the red line. The blue line or shorter (1) segment measures the distance from the subnasale to the glabella.


The average distance from the bottom of the nose to the glabella is around 2.5 inches. We will now substitute that to our formula as our x value.


This will give us an equation for the y value, represented by the red line:

 subnasale to glabella : y = 1 : 1.618  

 x : y = 1 : 1.618 
    
2.5 : y = 1 : 1.618


y(1) = 2.5(1.618)


y = 4.045 inches

This is now the golden ratio measurement for the entire distance from one brow to the next if the measurement from the subnasale to the glabella is 2.5 inches.

In simpler terms, if you know the measure of the longer (1.618) segment or the red line, divide that number by 1.618. If you know the measure of the shorter (1) segment or the blue line, multiply that number by 1.618.

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How the eyebrows enhance your face

March 26, 2011, 8:34 am
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The eyebrows may seem like a trivial facial feature but, it turns out that it's true what they say about how the eyebrows frame your face.

At a previous article, we were trying to determine the right shape for the eyebrows based on the golden ratio. Now, we're going to see just how the eyebrows can affect the other features of your face and also find out how they frame your entire face. 


The line above depicts the divine proportion wherein the segments are at a 1:1.618 ratio to each other which known as the golden ratio.


This angle is a derivation from the previous line where in the 1:1.618 segments are perpendicular to each other. We used this segment before to discuss the beautiful proportion for eyebrows.




The angle above shows the shorter "1" unit measuring the distance from the outer end of the brow to the middle space between the brows also called the glabella. From that point going down by "1.618" units, you'll find that it ends at bottom of the lower lip.


We apply the same angle on the other side of the face to form a "T"-zone. This zone now covers most of your main facial features which shows one way of how the length of the brows affect the balance of the other parts of your face. At this point, you can also map out an inverted golden triangle using the horizontal line as the base.


For our next measurement, we're now going to use the longer "1.618" unit on the eyebrows. From that point going down by "1" unit, you'll find that it ends at the bottom of your nose also called the subnasale.


This is another way of showing the measurements above. Combining the two, we get a frame for the eye area, including the eyebrows, and the nose.


What this means is that, just by adjusting your eyebrow length you can already make your face appear well-proportioned. If you feel that your face is too long or far apart, try extending the line of your brows using an eyebrow pencil. And if you think that your features are too close together, try making your brows appear shorter by lining it lightly at the outer ends.

The shape of the brow can also create a major impact on your face. Eyebrow shapes depend mainly on the original direction of the brows, the roundness of the eyes and the shape of your face. That said, there are certain eyebrow shapes that flatter most people regardless of the features they have.


Finally, using the rectangular version of the golden ratio angle, you'll find that the length of the face from the hairline to the chin is 0.618 longer than its width from the outer end of one brow to the opposite end. Thus proving how the eyebrows frame the entire face.

Again, using these measurements you can already enhance your face by tweaking your eyebrows. For oblong faces, lengthening your eyebrows at the outer ends can help to section the face and make it appear shorter. Shorter eyebrows flatter small faces and can make them appear longer by allowing the sides of the face to show, creating visual continuity throughout the length of the face.


Later on, we're going to subject these measurements to several beautiful people of different nationalities to see if the said proportions will hold true to its claim.

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14 July 2014 : Female Face Sketch

July 14, 2014, 2:39 am
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A simple sketch of a woman's face along with some golden ratio measurements. This GIF animation will show the different segments found in the drawing.


The first segment measures the distance along the eyes with the 1-unit encompassing one eye area from the outer corner of the eye to the bridge of the nose and the Φ-unit covering the rest of the distance to the outer corner of the opposite eye.

The second L-shaped segment has the 1-unit measuring the length of the browline and the Φ-unit covering the middle of the forehead between the brows down to the bottom of the lower lip.

The third segment measures the entire length of the face with the Φ-unit covering the distance from the top of the forehead to the tip of the nose and the 1-unit starts from the nose down to the chin.


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23 July 2014 : Female Face Sketch

July 22, 2014, 7:35 pm
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Another sketch of a woman's face at a slightly different angle along with some golden ratio measurements. This GIF animation will show the different segments found in the drawing.




The first red-and-blue segment measures the distance from one corner of the eye to the other with the 1-unitcovering the left eye area and the Φ-unit covering the rest of the distance to the corner of the right eye.

The second (yellow-and-green) segment measures the distance from the outer corner of the right eye to the outer corner of the left eye with the 1-unit covering the right eye area and the Φ-unit covering the rest of the distance to the corner of the left eye.

By overlapping the first two segments, we create a new segment with three (3) units with the first and last unit as the Φ-units while the middle unit as the 1-unit covering the distance from the nose bridge to the inner eye.

The third yellow-and-green segment measures the distance from one end of the brow to the other. The 1-unitmeasures the left brow to the middle of the forehead while the Φ-unit measures the middle forehead to the end of the right brow.

The fourth red-and-blue segment measures the distance between the brows down to the bottom of the lower lip with the Φ-unit covering the middle forehead down to the bottom of the nose and the 1-unit covering the bottom of the nose down to the bottom of the lower lip.


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25 July 2014 : Female Face Sketch

July 25, 2014, 11:59 pm
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Sketch of a woman's face angled to the left with some golden ratio measurements. This GIF animation will show the different segments found in the drawing.




The first L-segment has the 1-unit measuring the end of the brow to the middle of the forehead and the Φ-unit covering the middle forehead down to the bottom lower lip.

The second red-and-blue segment encompasses the length of the face which has the longer Φ-unit covering the length from the hairline down to the nose while the shorter 1-unit start from the nose down to the chin.

The third brown-and-orange segment measures the distance from one end of the eye to the other for this particular angle and has the 1-unit measuring the exposed eye area while the Φ-unitcovers the rest of the distance to the end of the other eye. 

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29 July 2014 : Female Sketch

July 28, 2014, 10:33 pm
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A sketch of Angelina Jolie along with some golden ratio measurements of the face and body. This GIF animation will show the different segments found in the drawing.



The first L-segment has the 1-unit encompassing the end of the brow to the middle of the forehead and the Φ-unit measuring the middle forehead down to the bottom of the lower lip.

The second red-and-blue segment has the 1-unit measuring the distance from the hairline to the middle of the forehead between the brows while the Φ-unit measures the middle forehead down to the chin.

The third yellow-and-green segment has the Φ-unit covering the shoulder down to the curve of the spine while the 1-unit starts from the curve of the spine down to the top of the leg.

The fourth red-and-blue segment measures the entire width of the shoulder with the 1-unit covering the distance from the corner of one shoulder to the neck while the Φ-unit measures the rest of the distance from there to the end of the opposite shoulder.


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31 July 2014 : Male Sketch

July 31, 2014, 2:23 am
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A sketch of a man along with some golden ratio measurements of the face and body. This GIF animation will show the different segments found in the drawing.



The first green-and-yellow segment has the 1-unit encompassing one eye area from the outer corner to the bridge of the nose and the Φ-unit starts from there to the corner of the opposite eye.

The second red-and-blue segment measures the length of the face and has the 1-unit measuring the distance from the hairline to the middle of the forehead between the brows while the Φ-unit measures the middle forehead down to the chin.

The third yellow-and-green segment has the 1-unit covering from the outer corner of the shoulder to the curve of the pectoral muscle and the Φ-unit starts from there to the end of the opposite shoulder.

The fourth pink-and-brown segment has the Φ-unit starting from the neck down to the sternum and the 1-unit covers the distance from the sternum down to the navel.

The fifth segment measures the distance through the collarbone and has the 1-unit measuring from the outer corner of one clavicle to the side of the neck while the Φ-unit starts from there to the end of the opposite clavicle.

The sixth red-and-blue segment measures the entire length of the torso with the 1-unit covering the distance from the neck down to the sternum while the Φ-unit measures the rest of the distance from there to the end of the torso.

The seventh orange-and-purple segment measures the length of the arm with the 1-unit covering the shoulder to the elbow crease while the Φ-unit covers the forearms all the way down to the hand.


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2 August 2014 : Female Sketch

August 2, 2014, 6:56 am
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A sketch of a woman along with some golden ratio measurements of the face and body. This GIF animation will show the different segments found in the drawing.



The first purple-and-orange segment has the 1-unit encompassing one eye area from the outer corner to the bridge of the nose and the Φ-unit starts from there to the corner of the opposite eye.

The second red-and-blue segment measures the length of the face and has the 1-unit measuring the distance from the hairline to the middle of the forehead between the brows while the Φ-unit measures the middle forehead down to the chin.

The third yellow-and-green segment has the 1-unit starting from the bottom of the chin up to the tip of the nose and the Φ-unit starts from there all the way up to the hairline.

The fourth green-and-yellow segment has the 1-unit measuring the corner of the shoulder to the side of the neck and the Φ-unit starts from there to the end of the opposite shoulder.

The fifth pink-and-brown segment measures the torso and has the 1-unit starting from the neck crease below the face down to the sternum while the Φ-unit starts from the sternum down to the bottom of the torso.

The sixth orange-and-green segment also measures the torso and has the Φ-unit starting from the neck crease below the face down to the waist while the 1-unit starts from there down to the bottom of the torso.

The seventh red-and-blue segment measures the entire length of the arm with the 1-unit covering the distance from the shoulder down to the elbow crease while the Φ-unit measures the forearm all the way down to the hands.

The eigth orange-and-green segment has the Φ-unit starting from the shoulder down to the knee while the 1-unit starts from the knee down to where the ankle bones presumably are.


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