Golden Mean

7:15 AM | BY ZeroDivide EDIT
Abhishek K DasRemnant of a supernova !
5.5k upvotes by Yash SharmaAlok PandeyZlatan Stajić(more)
Golden Mean, Golden Section, Divine Proportion are all common names for what is known as the Golden Ratio which is based off the number phi \phi = 1.61803398874... discovered by Italian Mathematician Fibonacco. Phi (\phi)is the ratio between the number sequence 1, 1, 2, 3, 5, 8, 13, 21 etc. where the next number in the sequence is derived by adding 2 numbers together. So, 1+1 = 2, and 1+2 = 3 ,  2+3 = 5 and so on. When we divide two sequential numbers i.e. \frac{5}{3} = 1.67 and \frac{21}{13} = 1.615

the ratio between these numbers soon become very close to  \phi (1.618) .

Some believe that it is the most efficient outcome, the result of natural forces.  Whatever you believe, the pervasive appearance of φ in all we see and experience creates a sense of balance, harmony and beauty in the design of all we find in nature. It should be no surprise then that mankind would use this same proportion found in nature to achieve balance, harmony and beauty in its own creations of art, architecture, colors, design, composition, space and even music. From the partheon to Monalisa , from the Egyptian Pyramids to credit cards, \phi has been there, always.

Now the amazing part , famous logos with golden ratios all over the place:

1. National Geographic

2. Pepsi 

3. iCloud

4. BP

5. Toyota

6. Grupo Boticario

Edit 1:
Akshay Mall gave a link to an answer where the logo of Apple has been debunked. From the site where I read Apple's logo was also mentioned . I have deleted the Apple logo.