umasundresh

Quaternions

Quaternions have the property that ‘x’ multiplied by ‘y’ is not equal to ‘y’ multiplied by ‘x’. These quaternions are used today in the areas related to 3 dimensional geometry.

we see its brief history in my next blog.

The Golden ratio Φ (phi)

Here the straight line AB is divided into AC and CB of  measure  ‘a’ and ‘b’ respectively.

we say that ‘a’ and ‘b’ are in the golden ratio, if

the ratio of the whole sum to the larger measure equals to the ratio of the larger measure to the smaller measure.

Φ=(a+b)/a =a/b

The value of  Φ is$ (1+√5)/2 =1.618…$