Silver Satellite
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The proportions of the rectangles are like 1:√2.Intriguing properties:
1. The curvatures in the chain are:
(bi): ... 170, 30, 6, 2, 2, 6, 30, 170, ... They are all even numbers. Reducing them by 2 gives:
(ai): ... 85, 15, 3, 1, 1, 3, 15, 85, ... 2. Recurrence. The sequence of curvatures follows a nonhomogeneous recurrence:
bn+1 = 6 bn − bn-1 − 4 3. A challange: find the sequence that underlines these numbers, analogous to the Fibonacci-Lucas numbers for the golden satelite.