A further major project is in the area of aperiodicity.

Aperiodicity is also an important necessary condition for solving the road coloring problem.

This aperiodicity correspond to the behavior of the circuit becoming chaotic (see chaos theory).

Joshua Socolar also gave another way to enforce aperiodicity, in terms of alternating condition.

Aperiodicity of prototiles requires two or more dimensions.

The road coloring theorem states that aperiodicity is also sufficient for such a coloring to exist.

The orientation of the vertex arrows which force aperiodicity, then, can only be deduced from the entire infinite tiling.

Consequently, aperiodicity is a property of the set of prototiles; the tilings themselves are just non-periodic.

Sacred Aperiodicity!

The form of the aperiodicity will contain some kind of microscopic code that somehow controls the development of the organism.

Aperiodicity is an Obligatory Requirement for Information Storage.

The amplitude of the changes in the star's brightness, and the aperiodicity of the changes, mean that this star is of particular interest for astronomers.

In 1962 he started using serial techniques, but in 1967 turned against the rhythmic aperiodicity and discontinuity characteristic of that technique (Knockaert 2001).

If aperiodicity is very evident in the waveform it is likely to be characteristic of a pathological vocal condition such as an excessively breathy voice.

Properly speaking, aperiodicity is a property of the set of tiles themselves; any given finite tiling is either 'periodic' or 'non-periodic'.

Experimentally, the aperiodicity is revealed in the unusual symmetry of the diffraction pattern, that is, symmetry of orders other than two, three, four, or six.

Thus, aperiodicity of graphs is a useful concept in analyzing the aperiodicity of Markov chains.

Beyond aperiodicity, these structures are used because the porous structure allows for rapid diffusion throughout the material, and the porous structure provides a large reaction surface.

Defect structure is the principal mechanism by which aperiodicity arises but it has been argued that mineral structures exhibit too much regularity for informational properties[10].

The aperiodicity of the Penrose prototiles implies that a shifted copy of a Penrose tiling will never match the original.

However, a tiling design containing docagons and that has self-similarity resulting from the repeated application of a subdivision rule results in a quasi-crystalline tiling (see Aperiodicity section below).

Since some of these tilings are periodic, it follows that no decoration of the tiles which does force aperiodicity can be determined by looking at any finite patch of the tiling.

A graphical illustration of the changing attractor over a range of values illustrates the general behavior seen for all of these parameter analyses - the frequent transitions between periodicity and aperiodicity.

(including the "aperiodicity" of the molecule), properties which Muller specified and refined additionally in his 1929 article "The Gene As The Basis of Life" and during the 1930s.

The first movement is characterized by a sharp contrast between the aperiodicity of the first subject group, characterized by Arnold Schoenberg as "prose-like," and the "wholly periodic" second subject group.