Zeckendorf Representation
A number written as a sum of nonconsecutive Fibonacci Numbers,
where
are 0 or 1 and
Every Positive Integer can be written uniquely in such a form.See also Zeckendorf's Theorem
References
Grabner, P. J.; Tichy, R. F.; Nemes, I.; and Pethö, A. ``On the Least Significant Digit of Zeckendorf Expansions.'' Fib. Quart. 34, 147-151, 1996. Vardi, I. Computational Recreations in Mathematica. Reading, MA: Addison-Wesley, p. 40, 1991. Zeckendorf, E. ``Représentation des nombres naturels par une somme des nombres de Fibonacci ou de nombres de Lucas.'' Bull. Soc. Roy. Sci. Liège 41, 179-182, 1972.
- Smale-Hirsch Theorem
- Smale Horseshoe Map
- Small Cubicuboctahedron
- Small Ditrigonal Dodecacronic Hexecontahedron
- Small Ditrigonal Dodecicosidodecahedron
- Small Ditrigonal Icosidodecahedron
- Small Dodecacronic Hexecontahedron
- Small Dodecahemicosacron
- Small Dodecahemicosahedron
- Small Dodecahemidodecacron
- Small Dodecahemidodecahedron
- Small Dodecicosacron
- Small Dodecicosahedron
- Small Dodecicosidodecahedron
- Small Hexacronic Icositetrahedron
- Small Hexagonal Hexecontahedron
- Small Hexagrammic Hexecontahedron
- Small Icosacronic Hexecontahedron
- Small Icosicosidodecahedron
- Small Icosihemidodecacron
- Small Icosihemidodecahedron
- Small Inverted Retrosnub Icosicosidodecahedron
- Axial Vector
- Axiom
- Axiom A Diffeomorphism