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21Publish - Cooperative Publishing

Mathematics and Beauty

Comments: 10    

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So what is Jessica Simpson doing on the Photo of the Week? Well, many folks consider her to be very attractive. But what is it about her that makes them think that? Believe it or not, it has something to do with mathematics. Your job is to find out about the mathematics of beauty and tell why some people are considered beautiful and others are not.
 
Here are some hints:
 
It has something to do with ratios.
 
Leonardo da Vinci studied it.
 
You find the ratio in the Fibonacci sequence.  


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Jonathan on April 9, 2007 at 5:29 PM ( Comment modified)
Jessica Simpson is attractive (to some people) because her face resembles the human mask. This mask is based on the Golden Ratio which is based on the Fibonacci Sequence. The ratio of 2 sequential numbers in the Fibonacci Sequence such as 8:5, 21:13, etc., equals Phi, which is 1.618003... going on forever. Nature's beauty is all based on the proportions from this ratio.

   

James on April 9, 2007 at 9:45 PM
What is the golden ratio? How is it related to the Fibonacci sequence? Where do you see the golden ratio on her face? And what is this mask you are talking about?

   

michael on April 10, 2007 at 5:35 PM
The reason people think Jessica Simpson is so hot is because her face is symetrical and in praportion. Her face fits the human mask very nicely. The human mask is a sketch of the face based on the golden ratio. Leanardo Da Vinci's drawings of the human body emphasized its paportion. The ratio of distances (foot to navel) : (navel to head) is the golden ratio. The golden ratio uses fibonacci numbers, where the number is the sum of the previos 2. Thats why people see Jessica Simpson as beautiful.

   

Olivia on April 10, 2007 at 8:56 PM ( Comment modified)
Some people think Jessica Simpson is atractive because of how her face looks. Her eyes are set a certain distance apart. The length and the proportion in her nose and the lengnth of her chin is all part of why people think of her as beautiful. Her face is said to fit the "human mask". The human mask is a face of a person whose face is related to the Golden Ratio. The proportions and ratios of her face are part of the Golden Ratio. The Golden Ratio is based on the Fibonacci numbers. If you turn one Fibonacci number and the number after it into a ratio, and turn the ratio into a decimal, the number will always be close to a number called phi. Phi is called the Golden Ratio. Most or all of the proportions of a person who people consider beautiful are in some way related to the Golden Ratio. This Photo of the Week was really fun!!!

   

emma on April 11, 2007 at 5:16 PM
Jessica Simpson is beautiful beacause of the proportioning and symmetry in her face. She is said to resemble the "human mask".
This human mask is a mask of a person whos face is related to the golden ratio-1.61803399. The golden ratio is based on the numbers in the Fibinocci sequence.I also found this cool thing! If you turn a Fibinocci number and the number after into a ratio, then turn it into a decimal, the number will be close to a number called phi. The golden ratio is phi. This is why people consider her beautiful.

   

densonr on April 11, 2007 at 6:09 PM
Many people consider Jessica Simpson to be quite attractive because of the way that her face (and body) resemble the human mask. The Fibonacci sequence (1,1,2,3,5,8,13, etc.) leads to the Golden Ratio, which makes up the human mask. If you take a number in the Fibonacci sequence and the number after it and make them into a ratio and then a decimal, the numbers become a number called phi, which forms the Golden Ratio. The way that Jessica Simpson's body (in particular her face) is almost completely proportional makes her seem very beautiful. People's liking of another person's beauty depends on how proportional that person's body is. Because Jessica Simpson's eyes are set a certain distance apart from each other and her nose is in almost perfect proportion with her chin (her face greatly resembles the Golden Mask), she is considered to be attractive.

   

ANNA on April 11, 2007 at 10:19 PM
Some people think Jessica Simpson is attractive because, her face resembles the human mask. The human mask is based on the golden ratio. The Fibonacci sequence (1, 1, 2, 3, 5, 8, 13...) leads up to the golden ratio, which makes up the human mask. Also, her face (and body) are symmetrical and in praportion. If you take one and add one then take its reciprocal then keep on doing this you get phi, or the golden ratio. The position of Simpson's eyes, and the length of her chin and nose all somehow relate to the golden ratio. this is why some people think Jessica Simpson is attractive.

   

samuel on April 12, 2007 at 5:09 PM
Many people think Jessica Simpson is attractive because her face fits very closely to the "human mask." The human mask is made by the golden ratio(which is 1.618033... that goes on forever). It is made when the numbers in the fibonacci sequence are made into fractions which are then made into decimals(the earlier number being the denominator). If this was contiued it would end up at phi, or the golden ratio. We find this ratio in many aspects of the proportion of the length of her nose, position of her eyes, and the length of her chin. That is why many people think Jessica Simpson is attractive.

   

[anonymous] on April 13, 2007 at 4:53 PM
Since most of the previous posts are exactly right, we decided to take a web-based approach. My class and I tried to find some websites that you may find useful in showing how the beauty of the face can be mathematically connected. The best site we found was http://goldennumber.net/face.htm
We also found some basic sites discussing the history and many applications of the golden ratio or phi. Two of those sites include: http://en.wikipedia.org/wiki/Golden_ratio
http://mathworld.wolfram.com/GoldenRatio.html
We hope you find these pages useful and look forward to next week's post.

   

James on April 16, 2007 at 11:10 AM
The reason that she is considered attractive is because the ratio of her facial features align with the Golden Ratio. The ratio is 1.618. The ratio of consecutive numbers in the Fibonacci Sequence is this ratio. For instance, 5 to 3 is the Golden ratio.

   

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