Answers are grounded in this paper and cite their sources.
Mathematical analysis demonstrates novel narcissistic decimal extensions in the unit interval, indicating new approaches to invariant set cardinality and Cantor sets.
We consider a collection of variations on the classic definition of the Narcissistic Numbers. Each new definition is tied to decimals found in the unit interval. The first definition, Narcissistic Decimals, is shown to be connected to the Perfect Digital Invariants and presents a new approach of the question of the cardinality of that set. Another definition, Ascending Narcissistic Decimals, produces a Cantor set. A third definition, Descending Narcissistic Decimals, produces a challenging set with a small number of interesting examples.
No takes yet. Share an insight, caveat, or question.
Casey et al. (2026) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: