ickeperiodisk
Ickeperiodisk is a term used in some mathematical and cultural texts to denote a property of objects that do not exhibit periodic repetition. In this usage, a structure is ickeperiodisk if it lacks nontrivial translational symmetry; equivalently, there is no positive shift that reproduces the same arrangement.
Etymology and usage notes: The form appears to derive from Scandinavian roots, with icke/ikke meaning not and
Formal context: In symbolic dynamics, tiling theory and combinatorics on words, an ickeperiodisk sequence or tiling
Characteristics and implications: ickeperiodisk systems often exhibit low repetitiveness yet high structure, with properties such as
Applications: The idea informs the study of quasicrystals in crystallography, where nonperiodic order is observed, as
See also: aperiodicity, aperiodic tiling, Penrose tiling, symbolic dynamics.