Sunday, March 14, 2010

An exercise of similarity.

Which geometric figure is the most similar to the ellipse?


















The triangle? The circle? The square?

It depends of what "similar" means!

The area of the red triangle is more similar to the area of the dark blue ellipse than the area of the yellow circle and the area of the light blue square.
The shape of the yellow circle is more similar to the shape of the dark blue ellipse than the shape of the red triangle and the shape of the light blue square.
The color of the light blue square is more similar to the color of the dark blue ellipse than the color of the red triangle and the color of the yellow circle.


Using LIFEPROJECT METHOD equation, the red triangle is the most similar to the dark blue ellipse.

Another example with the PlentyOfFish Chemistry Predictor.










http://www.plentyoffish.com/personality_faq.aspx











Using LIFEPROJECT METHOD equation, it will predict different from those examples.




















The "close, but dissimilar profile" will be "seen" as very similar although the trend to score of 3 of the 5 variables are in different directions.
The "similar profile, but far apart", will be "seen" as quite dissimilar.



REAL VALUES using LIFEPROJECT METHOD main matching equation


The pattern 6.7.6.8.9.6.7.7.8.7.2.5.8.7.3.4 (person1)
is 88.38926174% +/- 0.00000001%
similar to
5.6.4.7.7.5.6.6.7.6.3.4.7.6.2.3 (person2)












The pattern 6.7.6.8.9.6.7.7.8.7.2.5.8.7.3.4 (person1)
is 87.58389262% +/- 0.00000001%
similar to
7.8.6.9.9.7.8.8.9.8.5.6.9.8.4.5 (person3)






The pattern 6.7.6.8.9.6.7.7.8.7.2.5.8.7.3.4 (person1)
is 74.79865772% +/- 0.00000001%
similar to
5.7.4.8.7.4.5.6.4.6.8.9.6.8.4.4 (person4)








The pattern 6.7.6.8.9.6.7.7.8.7.2.5.8.7.3.4 (person1)
is 92.55033557% +/- 0.00000001%
similar to
7.7.6.8.8.7.6.5.8.7.4.5.7.7.3.4 (person5)








The pattern 6.7.6.7.6.7.6.7.6.7.6.7.6.7.6.7 (personaF1)
is 63.75838900% +/- 0.00000001%
similar to
4.5.4.5.4.5.4.5.4.5.4.5.4.5.4.5 (personaF2)










The pattern 6.7.6.7.6.7.6.7.6.7.6.7.6.7.6.7 (personaF1)
is 41.61073800% +/- 0.00000001%
similar to
3.4.3.4.3.4.3.4.3.4.3.4.3.4.3.4 (personaF3)





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