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Intermediate

Jacob’s Ladder

Jacob's Ladder
Jacob's Ladder

A regular pentagon with two extended sides. What is a : b : c?

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Solution

a : b : c is 1 : 2 : 3φ.

Solution by Marshall W. Buck.

GH= HI = IF => HL : IB : FK = 1:2:3.
But, HL = HA and FJ = phi*FK.
So HA: IB : FJ = 1 : 2 : 3*phi.

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