DSCN0842

Fibonacci Box II

$65

The Fibonacci Box has a frame of 8 x 21 units and 14 pieces. The 2 unit parts and the other 12 pieces fill the frame; the 12 pieces without the 2 unit parts also fill the frame. Mysterious? A whole book could be written about the resolution of the mystery and its implications, but the box is more fun.

Product Description

The Fibonacci numbers are ubiquitious in nature and mathematics. This puzzle sculpture embodies some of their counter-intuitive properties. In a problem published 800 years ago, Leonardo of Pisa, a.k.a. Fibonacci formulated his famous rabbit problem: beginning with a newborn fertile pair of rabbits, how many pairs will accumulate monthly if each pair produces another pair from their second month on? The solution of this leads to a recursively defined sequence of integers, 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, … This sequence has the property that two consecutive terms added give the next term.

The Fibonacci Box has a frame of 8 x 21 units and 14 pieces. The 2 unit parts and the other 12 pieces fill the frame; the 12 pieces without the 2 unit parts also fill the frame. Mysterious? A whole book could be written about the resolution of the mystery and its implications, but the box is more fun.

Exhibitions: AMS/MAA Joint Meetings, Washington, D. C.
Availability: in stock now, after that three weeks
Dimensions: 11″ x 5″ x 0.5″
Date: 2000
Material: brightly colored laser cut acrylic
Special Engraving: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, [Editor format rest of series: … , 8 ⋅ 5 - 13 ⋅ 5 = 1 .]
Weight: 8 oz
Conception Date: 1999
Copyright Notice: ©2000
Copyright Registered: 2000