Aperiodic

Some trajectory orbits are aperiodic, meaning that they do not repeat themselves on any time scales. ❋ Bishop, Robert (2008)

Schrödinger proposed that a gene could be stable from one generation to another if it is an 'aperiodic' crystal – in other words, something with a regular but non-repeating structure. ❋ Unknown (1962)

But life is characterized by specified complexity: the aperiodic, information-rich sequences of DNA and proteins, for instance, which appear nearly random to standard information theory. ❋ Unknown (2010)

Like a big, macroscopic, aperiodic quasi-crystal complete with embedded dislocations. ❋ Unknown (2010)

Are Penrose's instincts correct that he solved the aperiodic tiling problem instinctually instead of algorithmically? ❋ Unknown (2007)

Penrose points to aperiodic tiling for his non-algorithmic explanation. ❋ Unknown (2007)

Naturally occurring aperiodic crystals that matched Penrose Tilings. ❋ Unknown (2007)

After Hao Wang/Berger proved aperiodic tilings exist in 1966, people tried to find them. ❋ Unknown (2007)

In 1984, Quasicrystals were found that matched Penrose's nonalgorithmic, aperiodic tiling. ❋ Unknown (2007)

Like in ecosystems, things in a steady state economy are changing constantly in both periodic and aperiodic ways. ❋ Unknown (2009)

I mapped various aperiodic tilings onto the faces of the dodecahedron. ❋ Unknown (2007)

However, Dembski really makes 2 different arguments based on 2 different definitions: 1. Definition: Specified complexity is defined as complex (aperiodic) sequence that codes for meaning or function (which defines what is “specified”, according to them). ❋ Unknown (2009)

Mathematically, it was shown that it is possible to completely cover a two dimensional plane with a distinct set of shapes ( "tiles") and not end up with a repeating pattern ( "aperiodic"). ❋ Unknown (2007)

Comparing "aperiodic crystals" to standard crystals, Erwin Schrodinger once wrote, "The difference in structure is the same kind as that between ordinary wallpaper in which the same pattern is repeated again and again in regular periodicity and a masterpiece of embroidery, say a Raphael tapestry, which shows no dull repetition, but an elaborate, coherent, meaningful design traced by the great master." ❋ Unknown (2006)

Chaos, then, appears to be unstable aperiodic behavior in nonlinear dynamical systems. ❋ Bishop, Robert (2008)

Stephen Kellert defines chaos theory as “the qualitative study of unstable aperiodic behavior in deterministic nonlinear dynamical systems” (1993, p. 2). ❋ Bishop, Robert (2008)

This map obviously exhibits only orbits that are unstable and aperiodic. ❋ Bishop, Robert (2008)

It is qualitative in that there are no mathematically precise criteria given for the unstable and aperiodic nature of the behavior in question, although there are some ways of characterizing these aspects (the notions of dynamical system and nonlinearity have precise mathematical meanings). ❋ Bishop, Robert (2008)