## Monday, January 16, 2012

### The Perfect Face - Golden Ratio Beauty Calculator

Can you really place beauty to numbers?
As a girl with a mathematical edge, studying Calculus in high school, I want to introduce you to the Golden Ratio because studies of top models have shown that they have countless numbers of this ratio in their faces.

What is this ratio? Well to be exact it is 1.6180339.... and you can find it by specific measurements in your face. Here is my own face rank based on the Golden Ratio:

If you follow my blog then you know that I not only like to give you the secrets of beauty but I like to explain the science behind why it works and makes sense. This isn't new, the ratio was used in the Great Pyramids over 4600 years old, but I do break it down in chapter 4 of my book,  Face This: Real Advice from Real Models, Photographers and Makeup Artists.

This number, universally recognized as ideal, is usually rounded to 1.62. It is also known as phi (Φ) in Geometry, Fibonacci numbers in India, feng shui in Asia, and divine proportion. This ratio 1:1.62  is nature's symmetry and occurs naturally in life. Da Vinci himself used it when he drew the perfect human male body in his famous work the Virtruvian Man. The premise behind this is that the closer a face or object is to the golden number 1.62, the more beautiful it becomes.

### Beauty in the Eye of the Beholder

Beauty may be in the eye of the beholder but according to a study from the University of Nebraska, a smaller nose and chin, along with a larger distance between the eyes and a smaller mouth width are deemed desirable traits for women. Females were proven to be seen as the fairer sex, rated more attractive by both men and women.

How to Determine Golden Beauty
With the math behind it, the symmetry of your face can be measured. The closer this number is to 1.62, the more beautiful it is judged to be subconsciously. The simplest measurement is the length of your face divided by the widest part of your face. There are countless ratios that can be derived, but the web site above will generate a computer calculation online of a few of these ratios, from your uploaded photo for free, and give you some feedback. You might also decide to use this site if you are trying to select the best image from a recent photo shoot to use as your new profile picture!

Do It Yourself Version using a few more calculations:

a = Top-of-head (1) to chin (2) =  cm
b = Top-of-head (1) to pupil (3) =  cm
c = Pupil (3) to nosetip (4) =  cm
d = Pupil (3) to lip (5) =  cm
e = Width of nose (6 to 7) =  cm
f = Outside distance between eyes (8 to 9) =  cm
g = Width of head (10 to 11) =  cm
h = Hairline (12) to pupil (3) =  cm
i = Nosetip (4) to chin (2) =  cm
j = Lips (5) to chin (2) =  cm
k = Length of lips (13 to 14) =  cm
l = Nosetip (4) to lips (5) =  cm

Now, find the ratios. 1.62 is golden.
a/g =  cm
b/d =  cm
i/j =  cm
i/c =  cm
e/l =  cm
f/h =  cm
k/e =  cm

### Using the Golden Ratio in Dentistry

When the 2 front teeth form a rectangle with a Golden Ratio measurement (height to width of the center 2 teeth of 1.62) it is perceived as a perfect smile. Another ratio used is from the width of the first tooth to the second tooth and a third using the width of the smile to the third tooth from the center. Visit the site of Dr Eddy Levin for more on the Golden Section and Dentistry.

Dr Stephen Marquartdt developed a facial mask as a measurement of classic beauty to help plastic surgeons align facial features for more symmetrical accuracy based on a series of rectangles, triangles and decagons.

From Queen Nefertiti in 1350 BC to Angelina Jolie today, you can see for yourself that they both share similar facial proportions conforming to this beauty mask. I guess that beauty may be timeless after all ... or maybe it explains the countless number of plastic surgery clones. You Decide.

Check out my post on how to get flawless skin for photos by shaving your face - YES I am talking to you girly! Here is the LINK {Defuzzing the MYTH of the Female Mustache}

1. Thank you for mentioning my name. See my website www.goldenmeangauge.co.uk. The site shows, amongst numerous other examples, a simple gauge which gives a very easy assesment of all the relevant landmarks to optimise your good looks.

1. THANKS! perfect face golden ratio beauty
i from Indonesia visit back my web beautywater.id from beauty enagic japan

2. 1 am 8.73 but i see major flaws in my face. My face is really thin and long and my eyes are huge and close together.

3. 1 am 8.73 but i see major flaws in my face. My face is really thin and long and my eyes are huge and close together.

4. omg thank you so much my darling! i know i havent been on here for long but I would love to collaborate with you :D

5. This comment has been removed by a blog administrator.

2. Great site Dr Levin!!!

3. Facial surgery is one of way to provide well cosmetic treatment. It for far time that make effective changes. Information make it excellence.

4. The True Beauty reality show does this examination! I remember it was one of the tests done in the first episode. Some people just don't know it, but science can measure beauty. However, the results would depend on how a person and everybody else around would perceive it.

5. In my book you my dear are a 10!

1. Id never date a girl with Numbers and red spots on her face .
Shed look like a robot !

6. Such a big factor to them. Thank you for proving substantial info.

7. i am 8.86 :O :P

1. no your not its not possible

2. Annonymous 1 scored 7.8 out of 10, and Annonymous 2 scored 8.8 out of 10.

3. my ratio is 1.42 lol

8. hmmmmmmm interesting i got a 9.7, ive been told i was a pretty boy a lot before. this confirms it i guess ahahaha, good genes wohoooo xD. Shelley me and you maybe need to make love and produce a few gorgeous babies O:)

9. Something suspicious about the fact that most people of non-Caucasian descent wouldn't fit that mask, isn't there?

1. that is what i thought!

2. Actually it does. They just didn't include any pictures. People are beautiful regardless of "ethnicity". This also goes for ugly.

3. Ethnicity DOES come into it -- sorry if this does not fit into your politically correct agenda.
This website is however mainly for Caucasian faces (being Egyptian Nefertiti would have been Caucasian), so Caucasian faces are obviously going to be featured.

I doubt many people here would think Australian aborigines as outstandingly beautiful. Try to think rationaly.

4. You do realize that Queen Nefertiti is not Caucasian don't you? Seeing as this short post featured her as well, maybe it isn't political correctness that is your issue. I sense ethnic insecurity in your comment. It gets a little stale and jaded when simple beauty posts are misconstrued as being ethnically charged. Especially in this day and age where literally every race is celebrated in each owns beauty. This is a post on the scientific calculations of beauty.... Adaptable to ANY race. In any case we all should know by now that beauty really is in the eye of the beholder.

5. These features are more European features and according to this mask most of the non white people won't fit. I'm sure there are many acceptations (people who have similar structures to white people) correct at all.

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10. This is a very dry examination of mathematical constants in nature as applied to the face. Any classically trained artist would recognize that beaty is not sheerly relegated to mathematical ratios. Hunams intrinsically recognize patterns in nature (including on the body) and there are many ratios that make things orderly and beautiful. But somehow drawing closer to this "perfect ratio" does not make a person more beautiful, the closer they are to those ratios. And this can be verified by the countless beautiful persons who violate these ratios. I hope women, or men for that matter don't walk away with the impression that the further you are from these ratios the less likely you are to be beautiful.

All people adhere to a physical kind of geometry, after all God is perfect in order and Man was made in his image. But God is also a master artist, and as master artist he knows the range he can work with, and He is not a slave to math, rather math and geometry is his bondservant.

1. Really? You genuinely believe GOD made us? Hahahahaaa

2. I do. And so do millions who believe that its a lot easier to believe in the existence of God than to believe that chance and probability brought about the entire universe in perfect harmony as we see it today. U need a LOT more faith to believe that you could put all the parts of a machine in a mixer n then shake it until it becomes the complete entity that it is intended to b on its own ! Kudos 2 ur faith Bro Craig! :)

3. Iep, Christina, its a lot easier. That´s the answer, now leave the complicated ones alone. ( Oh, and take the easy road! ;) )

4. Maybe I'm missing something here? Surely the proportions of an ideal face are difrerent for each sex.
The proportions of the lower face will be greater for men, but this does not seem to be mentioned here.
The 'do it yourself' method described here, and the uploadable photo method will surely only work for women?

11. WOW! I'm a 9.97! hahaha I feel awesome! =D
Going to change my name to pretty woman! xD lol

1. Your number is more like a 1.42 still not bad.. you have to divide this number by 7 idiot! :P

12. hahaha! I got 9.9! I don't think i believe it though ;P

1. 9.9 overall is 1.41 out of 1.62. So you're more like 8.7 out of 10 which is higher than the average 4–7 :).

2. i got 11.58 after adding all of the ratios, i passed 10.00 lol
if i divide by 7 i get 1.65 still passed 1.62

13. 8.75 for me !

14. Thank you for sharing! I watched a documentary that included this topic last night and ever since I have been wonder what my score would be. It turns out I'm an 8.19. I'm a lot better looking than I thought I was!!! :)

bcoz 1.62*7=11.34 .Mine is 9.6 but my ratios are btw 1.62 to 1.3??
I am totally confused...I think I am an average guy

16. OMG!!! I did this with a few friends and I was the SEXIEST!!! 9.76

17. Aw I can't upload a pic for some reason! ): But how do you calculate the final outcome with the DIY version? I dunno tho, I have ratios closer to 1.62 than someone else I know, and she's considered to be extremely beautiful...

18. I got a 10 but to me in pictures my face looks very assymetrical! help me someone ???

1. It depends on the lens and angles.

19. The perfect face golden ratio beauty given here is superb. Read the post to get details

20. 9.11 :D :D

21. This article has guide about golden ratio beauty and in agree with majority of information which is quite easy to understand. This post is really very interesting.

23. Perfect face Golden ratio beauty is shared on the post here. Know details from here

24. Wow, I got a 5.9 so this means I am really ugly...

1. No way! This just means the photo you loaded didn't correspond to this ratio. This is only one way of measuring beauty!

25. How to get this golden ratio on my face? Please tell

26. Stunning. How is this possible? How long will it take for me to get tht beauty?

27. Yet if you upload a picture of johnny depp or brad pitt you get roughly 7.5. Funny..

28. How did Angelina Jolie only get 8?!!?

29. 9.45....I don't quite believe it though. I'm probably actually a 7. Most people would say I'm "socially acceptable"

1. 7.8 on anaface. Huh.

30. How to calculate h if you are bald like me, that is, when there is no hairline?

31. Hey, mine added up to 10.53, what did I do wrong?

1. Nope. If you got 10.53 once you've divided that by 7 you're left with 1.5. That is, 1.5 out of 1.62 which is equivalent to 9.3 out of 10 :P.

32. I got 9.13 after very much adjusting but I still feel super insecure now because of all the things they said were wrong with my face...

1. Ik I got a 8.05 but im still like :(....

33. Why not automate your form? I don't have a mirror and ruler handy to check (How should we measure top of head to eye, anyway?), but running this in your browser's F12 console should give you your score without legal issues:

ins = document.getElementsByTagName("input")
a = ins[0].value
b = ins[1].value
c = ins[2].value
d = ins[3].value
e = ins[4].value
f = ins[5].value
g = ins[6].value
h = ins[7].value
i = ins[8].value
j = ins[9].value
k = ins[10].value
l = ins[11].value
abs = Math.abs
gr = 1.6180339
score = 10-abs(gr-a/g)-abs(gr-b/d)-abs(gr-i/j)-abs(gr-i/c)-abs(gr-e/l)-abs(gr-f/h)-abs(gr-k/e)
score

34. 7.44, pretty happy with that :)

35. I was a 7.89 but I am pretty happy with that! I have always considered myself to be pretty average as far s looks go so I guess I was right all along!

36. my girlfriend is a 5.98 I happy now cause its better than the last one that was 4.88

37. I got a 10.065... does that mean I'm beautiful???

1. It means you scored 1.44 out of 1.62 or 8.9 out of 10. Of course you're beautiful.

2. This comment has been removed by a blog administrator.

38. This is definitely a topic that's close to me so Im happy that you wrote about it. I'm also happy that you did the subject some justice. Not only do you know a great deal about it,

39. Please forgive me for saying, but this software is NOT accurate. Nefertiti and Aishwarya Rai did not get as high as marks of some of you on this site. Those are faces that are far above average in look. Nefertit=7.6 Aishwarya Rai=8.76. It is fine to have fun with, but keep in mind if you rank a 9, that does not necessarily mean you are beautiful.

BTW, I put a photo of Sarah Jessica Parker and she ranked higher than Nefertiti. That is not possible at all.

40. I received 8.58. I think part of it is the fact that you have to be PINPOINT accurate on where you placed the dots. That, and whenever I take a photo, I have a habit of trying to adjust my face so much it looks pretty bad. When I switched the photo out for something I didn't do/my friend took and gave to me, I scored higher. Nonetheless, happy with what I scored!

41. I actually tested Angelina Jolies face and she DOES NOT have a golden ratio.

42. i score 10.42 is that possible or i did something wrong

43. This doesn't measure a person's facial beauty. It just measures the facial ratios from one angle of a person's face - and a face can be looked at from hundreds of angles. For example, noses look longer from a higher angle and shorter from a lower angle. Don't like the length of your nose? Change the angle the photo is being taken from. Etcetera.

1. chargyse - - - Important point! Many ''good looking actors only look good from a few angles -- then you notice he/she has a receeding chin, big nose, week jaw line. And of course most people have a 'good side' and a 'bad side'.
Another point to remember is that any close up photo will have a large degree of distortion. To get an 'accurate' photo the camers should be about two feet away. That's why hand held 'selfies' always look so terrible!

2. Sorry for all the typos -- I usually check for mistakes before posting!

44. i guess i dont have this ratio

45. Thank you for mentioning my name. See my website www.goldenmeangauge.co.uk. The site shows, amongst numerous other examples, a simple gauge which gives a very easy assesment of all the relevant landmarks to optimise your good looks.

46. i got 10.5 ...what does that mean? can anyone please give details on the calculations?

1. first add all the results and then divide by 7 to get the desired result. :)

47. It important to remember that this ratio only uses symmetry. There are other things that affect beauty that the golden ratio doesn't take into account like hair color, hair style, eye color, skin tone, and if there are imperfections (scars, acne, etc.).

48. This is immensely stupid. If you look for any ratio in nature, you will find a lot of examples of it. Google "golden ratio myths" sometime and you'll see. And hs calculus obviously makes you a math expert.

49. It says my nose is too wide for my mouth. So should I widen my mouth or narrow my nose? Kkk

50. i used grace kelly, arguably one of the most beautiful women ever, and her score was lower than my photo. seems suspicious to me. i am not ugly, but i would expect gk to score much higher than i did. much higher than a little over an 8.

51. divine mask is wrong I just calculated all the ratios and they aren't 1.62 at least according to your ratios. Also how is i/c accurate ? I just drew it out.. Makes no sense

52. I'm 8,79 :)
That's close enough for me :D
My closest to the golden ratio was around the lips and chin area.
On pictures is that part never fucked up :D

53. you guys are such f**kin' liars! Your high score is bullsh**

1. They're not bullshit, they're miscalculations, or should I say incomplete calculations. People saying they scored 9.4 for example, actually scored 1.34 out of 1.62 (the golden ratio), which is equivalent to 8.3 out of ten, which is still a 'high' score, but not as high as they thought it was. Most people who scored high 8's and 9's are actually 7's and low eights, pretty much average.

2. i got 1.65 after dividing 11.58 by 7 which i got after adding the 7 ratios,did i pass 10.00? lol

54. I am a 7.25. I guess that's not very good :(

55. 7.97....But against all the people with 8.blah and 9.blah...that's pretty average, so it's fairly accurate. Anyone wanna join a 'Your ears are too long for your face >:O!" party? whoop!

1. Haha even I got that, and so did Keira Knightly and Angelina Jolie and Brad Pitt. If it's not me doing it right, there's a serious glitch in the software.

56. i got 1.6071428571 after i added up all the numbers and divided them buy seven did i do it right??????

1. yes exactly...

57. 1.48 is the ratio.

1. 1.618 is the ratio :)

58. I did it 3 times and my scores ranged from 8.63 - 8.92 and I've never really considered myself good-looking or even average? So idk if this is accurate, I guess its personal opinion more than mathematics :)

59. I actually got a 9.20

60. I'm a 9.7 so guess that's pretty good.

61. zayn malik's face is scientifically perfect. google it.

62. I think you're supposed to take the photo face on, not like the author of this article who has skewed her results e.g. guessing where her ears are.

63. I really think I did something wrong. I got 9.68.

64. I got 8.26 and I did it for Anglina Jolie who got 8.86. This totally not possible.

65. hahaha 9.72 I'm sorry but how :'D

66. Okay, so I think I did this wrong. I ended up with 9.92. No way. These are my measurements:
a) 20.7cm
b) 9.8cm
c) 4.5cm
d) 8cm
e) 3.4cm
f) 9.3cm
g) 13.2cm
h) 7.2cm
i) 7.2cm
j) 4.7cm
k) 4.6cm
l) 2.5cm

And now my ratio calculations:
a/g) 1.57
b/d) 1.22
i/j) 1.53
i/c) 1.6
e/l) 1.36
f/h) 1.29
k/e) 1.35

And then:
1.57+1.22+1.53+1.6+1.36+1.29+1.35=
9.92?

Please help me. I know I got my measurements right because I did them multiple times and I always got 0.5 away each time I measured. So I must have done something wrong calculating. Please help!

1. You did your math right. Please remember that yes, this "golden ratio" thing is about symmetry in your face. It has nothing to do with how beautiful you are. You can be one of the most beautiful people in the world and not have a very symmetrical face or length-to-width ratios. Just keep in mind that, yeah, you have a symmetrical face. But you might not be necessarily beautiful!

2. Agreed -- as a man, my face comes up with a 9.0 to 9.7 score (using different websites and formats), but women certainly don't stare at me or flirt with me!
Other things, such as undefined lips, palish eyebrows, facial expression, lack of confidence etc probably 'spoil the effect'.

3. Your maths was correct, you just forgot to apply the last step: divide this number by 7 (amount of ratios calculated), and then that number by 1.62 (the 'perfect' number).

If I apply this to your equation so far, I get 1.417 out of 1.16, and then 8.8 out of 10.

67. Im 1,55 ;-) Yay.. Thanks internet... Bwaah.

68. I got 9.5
a/g = 1.6 cm
b/d = 1.625 cm
i/j = 1.4 cm
i/c = 1.4 cm
e/l = 1.6 cm
f/h = 1.4 cm
k/e = 0.5 cm

1. And then to find the average you divide it by 7. 9.5/7 is 1.36 out of 1.62, or 8.4 out of 10.

69. this helped with my science fair project....thanks

70. I tried to use the application where you browse your own phone and select it, instead of going to a URL, and it won't accept it. It keeps telling me to use a url with a picture.

1. I am facing same problem .....

71. I got 9.02..... :)

72. average 1.64... low was 1.4 high was a 1.803... i don't believe it though

73. 4.55. Guess I am officially ugly. How comforting!
lol..

74. I got 11.56 devided by 7 is 1.65. What does that mean?

75. I got a 10.63/7=1.52. That's .10 away from the golden ratio... I guess I don't understand what this means. I think I'm pretty so I don't hold too much emphasis on this ratio, but I do find it interesting.

76. I got 9.31. upon dividing it by 7 I got 1.33 .
what do I do now?and what does this mean?
i hv been praised for my looks many times so this hardly makes any difference, still I want to know my result. :)

77. NEED HELP
my photo is not getting uploaded ????

78. i am writing book on fibonacci. i am trying calculate some faces whether they are beautiful as per golden ratio.
how to upload photo,can you help

79. you people are all ugly

80. Thanks for telling the truth mahn!!!!!!!!!!!!!!!

81. My sister got 9.85 and then got 1.4071428 after she divided it by 7

82. I scored a 10.432282 and then got 1.490326 after I divided it by 7.

83. thank you info nya bos

84. hank you info

85. 9.9973333? Ya fuckin right, I don't look that good.

86. Thanks for posting this info. I just want to let you know that I just check out your site and I find it very interesting and informative. I can't wait to read lots of your posts

87. Thanks for posting this info. I just want to let you know that I just check out your site

88. Supermodel Magazine has harassed my life. Back then, when I had just an oval face, no one looked like me, but Now EVERYONE DOES!!!!! And Everyone has the same face just as I do in a Magazine!!!!!!!! My face isn't top- heavy, and my jaw is upright with a fairly short nose. I am The Golden Ratio for The Caucasian Standard even for just being an Asian!!!!!!!!

89. I did this and got:
a/g = 1.41
b/d= 2.02
i/j= 1.54
i/c= 1.36
e/l= 1.21
f/h= 1.02
k/e= 1.29
I'm guessing people got their numbers by adding all their number together so mine comes out to 9.85. but if multiply 1.62 by 7 because thats how many boxes there are you get 11.34 so this technically isnt a scale from 1-10 so if it was I'd be a 8.51 ( I subtracted 1.34 from my original answer.

90. I got 9.99 which I think is absolute stupidity. My ratio would therefore be 1.42. I think I'm the most ugliest thing on the planet. I only did this test because everyone keeps saying I'm really pretty and should be a model but I hate how I look in pictures. I honestly cannot be a 9.99.

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91. Really ? Who do you think you are assigning numbers to facial features and quantifying beauty based on a mathematical formula.

1. Technically Leonardo Da Vinci brought more attention to The Golden ratio in the theory that the more symmetrical you face/body is the more attractive you are because the human eye finds symmetry pleasing to look at. It's not saying that you are beautiful or not - beauty is in the eye of the beholder after all but the article is bringing to light the fact that the closer your ratio is to the golden ratio the more you fit Leonardo's idea of perfection.

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