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Phibobrick's dimensions (Posted on 2016-10-14) Difficulty: 3 of 5
Imagine a brick with sides of lengths 1, Phi=1·61803... and phi=1/Phi=0·61803.

Clearly, the longest side is the sum of the other two lengths since 1 + phi = Phi

i. Show that the largest face (area C=1 x Phi) is the sum of the other two face's areas (area A =1 x phi and area B=phi x Phi) ?
ii. Evaluate the surface area S of the brick.
iii. Find the diagonal across the brick.
iv. What is the ratio of the surface areas of the "Phi-bonacci brick" and its surrounding sphere?

No Solution Yet Submitted by Ady TZIDON    
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  Subject Author Date
Solutionproposed solution Charlie2016-10-14 11:45:47
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