Abstract
We introduce the class of trees with integer nodes generated by the Ducci process applied on the digit representation of the nodes in some number system. There are two possible options: one is to let the size of the torus go down freely during the process and the other is to keep it fixed. We give revealing examples and discuss general characteristics in the two cases.
Original language | English (US) |
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Pages (from-to) | 177-188 |
Number of pages | 12 |
Journal | Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie |
Volume | 66 |
Issue number | 2 |
State | Published - 2023 |
Keywords
- Ducci games
- cycle
- discrete dynamics
- period
- precycle
ASJC Scopus subject areas
- General Mathematics