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Permalink highlandvalley:

鴻池 剛 on Twitter: “【漫画日記】この嫌がらせを狙ってやってるなら猫は思ってる以上に頭が良い http://t.co/KkUcQEBm1u http://t.co/YKBDMEfIw7”
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Permalink only-cats-photos:

Just Chillin’ http://ift.tt/1pW3Nxv - Follow me http://ift.tt/Roy1qi
Permalink spring-of-mathematics:

Golden Ratio φ = (1+sqrt(5))/2 = 1.6180339887498948482…
In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Expressed algebraically, for quantities a and b with a > b > 0. Two quantities a and b are said to be in the golden ratio φ if
(a+b)/a = a/b = φ
One method for finding the value of φ is to start with the left fraction. Through simplifying the fraction and substituting in b/a = 1/φ:
(a+b)/a = 1+ b/a = 1+1/φ
Therefore: 1+1/φ = φ  Multiplying by φ gives: φ^2 - φ - 1 = 0
Using the quadratic formula, two solutions are obtained:: 
φ = (1- sqrt(5))/2 or φ = (1+sqrt(5))/2
Because φ is the ratio between positive quantities φ is necessarily positive:
φ = (1+sqrt(5))/2 = 1.6180339887498948482…
See more at Golden Ratio.
Image: Phi (golden number) by Steve Lewis.
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