Despite this, the undecidability of the Domino Problem ensures that there must be infinitely many distinct principles of construction, and that in fact, there exist aperiodic sets of tiles for which there can be no proof of their aperiodicity.
12.
Chaim Goodman-Strauss suggested that a tiling be considered " strongly aperiodic " if it admits no infinite cyclic group of Euclidean motions as symmetries, and that only tile sets which enforce strong aperiodicity be called strongly aperiodic, while other sets are to be called " weakly aperiodic ".
13.
We let p n be the probability that, after n iterations, the cards are found in increasing order : first, I need to show that p n converges to some p as n-> infinity, regardless of the initial ordering, and find this p, apparently using the property of aperiodicity.
14.
The system was organized around seven major meters, state Annette Wilke and Oliver Moebus, called the " seven birds " or " seven mouths of Brihaspati ", and each had its own rhythm, movements and aesthetics wherein a non-linear structure ( aperiodicity ) was mapped into a four verse polymorphic linear sequence.
15.
However, long before the publication of " What is Life ? ", geneticist and 1946 Nobel-prize winner H . J . Muller had in his 1922 article " Variation due to Change in the Individual Gene " already laid out all the basic properties of the " heredity molecule " ( then not yet known to be DNA ) that Schr�dinger was to re-derive in 1944 " from first principles " in " What is Life ? " ( 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.
