Zobrazeno 1 - 10
of 152
pro vyhledávání: '"Uwe Grimm"'
Autor:
Chikwesiri Imediegwu, Daniel Clarke, Francesca Carter, Uwe Grimm, Iestyn Jowers, Richard Moat
Publikováno v:
Materials & Design, Vol 229, Iss , Pp 111922- (2023)
This paper compares the mechanical properties of a class of lattice metamaterials with aesthetically-pleasing patterns that are governed by the mathematics of aperiodic order. They are built up of ordered planar rod networks and exhibit higher non-cr
Externí odkaz:
https://doaj.org/article/4d46389b16a04cc7bfb35fe37e0827dd
Autor:
Michael Baake, Uwe Grimm
Publikováno v:
Symmetry, Vol 4, Iss 4, Pp 566-580 (2012)
Non-periodic systems have become more important in recent years, both theoretically and practically. Their description via Delone sets requires the extension of many standard concepts of crystallography. Here, we summarise some useful notions of symm
Externí odkaz:
https://doaj.org/article/6c5d79adabbb45be9d0dd2bf20f5ee09
Publikováno v:
Symmetry, Vol 4, Iss 4, Pp 581-602 (2012)
Aperiodic tilings with a small number of prototiles are of particular interest, both theoretically and for applications in crystallography. In this direction, many people have tried to construct aperiodic tilings that are built from a single prototil
Externí odkaz:
https://doaj.org/article/ce50687baddf42548fe0f20ce4670744
Autor:
Michael Baake, Uwe Grimm
Publikováno v:
Entropy, Vol 14, Iss 5, Pp 856-864 (2012)
Diffraction methods are used to detect atomic order in solids. While uniquely ergodic systems with pure point diffraction have zero entropy, the relation between diffraction and entropy is not as straightforward in general. In particular, there exist
Externí odkaz:
https://doaj.org/article/51e5d8afff374c3a99663f2a938e645c
Autor:
Manuela Heuer, Uwe Grimm
Publikováno v:
Entropy, Vol 10, Iss 4, Pp 590-612 (2008)
We review the recent progress in the investigation of powerfree words, with particular emphasis on binary cubefree and ternary squarefree words. Besides various bounds on the entropy, we provide bounds on letter frequencies and consider their empiric
Externí odkaz:
https://doaj.org/article/737318d3e8214e67ac4dab558eb18043
Autor:
Michael Baake, Uwe Grimm
Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The mathematics that underlies this discovery or that proceeded from it, known as the theory of Aperiodic Order, is the subje
Autor:
Michael Baake, Uwe Grimm
Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The underlying mathematics, known as the theory of aperiodic order, is the subject of this comprehensive multi-volume series.
Publikováno v:
The Journal of Strain Analysis for Engineering Design. :030932472211506
This paper develops a framework for determining the linear elastic properties of non-periodic lattice structures. An element-based material assignment methodology is implemented that facilitates the generation and analyses of arbitrary patterns on a
Autor:
Uwe Grimm, Rudolf A. Roemer
Publikováno v:
Physical Review B. 104
We study the level-spacing statistics for non-interacting Hamiltonians defined on the two-dimensional quasiperiodic Ammann-Beenker (AB) tiling. When applying the numerical procedure of "unfolding", these spectral properties in each irreducible sector
Publikováno v:
2019-20 MATRIX Annals ISBN: 9783030624965
Aperiodic order is a relatively young area of mathematics with connections to many other fields, including discrete geometry, harmonic analysis, dynamical systems, algebra, combinatorics and, above all, number theory. In fact, numbertheoretic methods
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::48fc5108c9f6d42ff8ddb22c7663c5f6
https://doi.org/10.1007/978-3-030-62497-2_40
https://doi.org/10.1007/978-3-030-62497-2_40