Silver Satellite


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The proportions of the rectangles are like 1:√2.

Intriguing properties:

1. The curvatures in the chain are:

...  170, 30, 6, 2, 2, 6, 30, 170, ...

They are all even numbers. Reducing them by 2 gives:

...  85, 15, 3, 1, 1, 3, 15, 85, ...

2. Recurrence. The sequence of curvatures follows a nonhomogeneous recurrence:

bn+1  =   6 bnbn-1 −  2

3. A challange: find the sequence that underlines these numbers, analogous to the Fibonacci-Lucas numbers for the golden satelite.