derangementsideks
Derangementsideks is a coined term used to describe a class of problems and narrative concepts in which a set of sidekick characters are reassigned to non-original roles so that no character remains in its canonical position. The term blends derangement, a permutation with no fixed points, with the idea of sidekicks.
In formal terms, for a set of n labeled sidekicks, a derangement is a permutation π of {1,...,n}
Examples: for n = 3, !3 = 2, corresponding to the permutations (2,3,1) and (3,1,2). These illustrate a
Applications include generating unpredictable team lineups in fiction, designing puzzles that require non-fixed role assignments, and
Variants include partial derangements, where some elements may stay fixed, and constrained or layered derangements, which
See also: Derangement; Subfactorial; Permutation; Combinatorics.
Notes: The term is informal and not a standard mathematical designation; it is primarily used in creative