from which the latter is obained from the former by dividing by . There is a pair of equations satisfied by the plastic number :
Here, the latter equation is justified by
when this is divided by .
for some positive integers and .
Accordingly, the golden ratio and the plastic number are morphic numbers. It can be shown that there are no other real morphic numbers greater than 1.
- 1 J. Aarts, R. Fokkink, G. Kruijtzer: Morphic numbers. – Nieuw Archief voor Wiskunde 5/2 (2001).
|Date of creation||2013-03-22 19:09:51|
|Last modified on||2013-03-22 19:09:51|
|Last modified by||pahio (2872)|