Fibonacci Tetrahedron, 0, 1, 1, 2

The Fibonacci numbers are ubiquitious in nature and mathematics. So, it would appear, are tetrahedrons in general position. Professor Forcade invited me to think about tetrahedron in general position, so I thought since general position usually means unequal straight edges I would generalize even more and curve the edges and faces and curl the corners with rotations related to something interesting. 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 consequtive terms added give the next term.

Photo credit is Sunforge Studios