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In a certain type of tiling called Penrose P3 tiling, two types of rhombi fill a space without gaps or overlaps...

Expert replies
by Vincen » Sun Dec 26, 2021 9:50 am

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A

B

C

D

E

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Difficulty

In a certain type of tiling called Penrose P3 tiling, two types of rhombi fill a space without gaps or overlaps: wide rhombi and narrow rhombi. If five of the wide rhombi can meet symmetrically at a single point, while ten of the narrow rhombi can, what is the ratio of the largest angle in one narrow rhombus to the largest angle in one wide rhombus?

(A) 5 : 2
(B) 2 : 1
(C) 5 : 3
(D) 3 : 2
(E) 4 : 3

Answer: E

Source: Manhattan GMAT
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