Eye of the Dragon
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Joined: Nov 2004
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Maris Imperium
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Maris Imperium
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Joined: Nov 2004
Posts: 13,925
Likes: 36
[Linked Image from i0.wp.com]Your mind goes back to primary or secondary school, thinking about when you learned about the golden ratio. While it was used in man-made objects like the Parthenon and Great Pyramid, it appears a lot in nature, like the spiral galaxy on the poster, seeds and petals on sunflowers, branches on trees, leaves on pine cones, pineapples, succulents... You try to remember why, and it boils down to packing efficiency, which relies not only on the layer you're packing on, but the one below it.

You recall playing around with squares and finally it hits you! The Fibonacci Sequence! Starting with 0 and 1 it goes on adding the previous two numbers to get 1, 2, 3, 5, 8, 13, 21, and so on. And indeed, the poster has two corresponding sets of fibonacci squares, assuming starting squares of "0" and "1" adds a 1-length square next to that... and putting a square of length 2 next to those two 1-sided squares.... a square of length 3 next to the 1- and 2-square... a square of length 5 next to the 3- and 2-, and so on. And as the numbers get bigger, the ratio of side lengths get closer to the Golden Ratio!

Sure enough, when you type 1-1-2-3-5-8 onto the keypad, it gives a pleasant sounding chime. You hear the sound of pressure equalizing nearby and the door slides open, revealing a frost-rimmed control room reeking of ozone.

The room is freezing. A terminal displays 'STANDBY'. A large hand-crank is sheathed in ice. On a counter next to the terminal is a data pad.

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After recovering from the shock that the sequence actually worked, look closely at the data pad.

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