Results 31 to 40 of about 173 (142)
A relation between Wiener index and Mostar index for daisy cubes [PDF]
Discrete Mathematics Letters, 2022 Michel Mollard
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International Journal of Energy Research, Volume 2025, Issue 1, 2025.With a view to finding the best approach to maximize the wind energy harvesting from wind turbines, this research has focused towards assessing the effects of different innovative modifications to wind turbines at different wind speed conditions and comparing them in terms of aerodynamic performance, economy, and environmental impact.
Mim Mashrur Ahmed +4 more
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Hexagonal and Trigonal Quasiperiodic Tilings
Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.Abstract Exploring nonminimal‐rank quasicrystals, which have symmetries that can be found in both periodic and aperiodic crystals, often provides new insight into the physical nature of aperiodic long‐range order in models that are easier to treat. Motivated by the prevalence of experimental systems exhibiting aperiodic long‐range order with hexagonal ...
Sam Coates +6 more
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On the existence of cycles of every even length on generalized Fibonacci cubes
Le Matematiche, 1996 A new topology for the interconnection of computing nodes in multiprocessors systems is the generalized Fibonacci cube.It can be embedded as a subgraph in the Boolean cube and it is also a supergraph of other structures.
Norma Zagaglia Salvi
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Properties of the Ammann–Beenker Tiling and its Square Periodic Approximants
Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.This review article is intended for those seeking to understand the geometrical properties of one well‐known two‐dimensional quasiperiodic tiling, namely the Ammann‐Beenker tiling. This eight‐fold symmetric tiling has been a preferred starting point for studies of electronic properties of quasicrystals, due to its relatively simple structure as ...
Anuradha Jagannathan, Michel Duneau
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Canonical‐Cell Tilings and their Atomic Decorations
Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.Abstract The canonical cell tiling is a geometrical framework that uses four kinds of basic polyhedra, called the canonical cells, to model the packing of atoms and clusters in icosahedral quasicrystals and related periodic approximants. Over the past three decades, it has become increasingly clear that this framework is the most sensible approach to ...
Nobuhisa Fujita +2 more
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Pure Point Diffraction and Almost Periodicity
Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.Abstract This article deals with pure point diffraction and its connection to various notions of almost periodicity. We explain why the Fibonacci chain does not fit into the classical concept of Bohr almost periodicity and how it fits into the classes of mean, Besicovitch and Weyl almost periodic point sets.
Daniel Lenz +2 more
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Substitutions and their Generalisations
Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.Abstract Tilings and point sets arising from substitutions are classical mathematical models of quasicrystals. Their hierarchical structure allows one to obtain concrete answers regarding spectral questions tied to the underlying measures and potentials.
Neil Mañibo
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Strong divisibility sequences and sieve methods
Mathematika, Volume 70, Issue 4, October 2024.Abstract We investigate strong divisibility sequences and produce lower and upper bounds for the density of integers in the sequence that only have (somewhat) large prime factors. We focus on the special cases of Fibonacci numbers and elliptic divisibility sequences, discussing the limitations of our methods.
Tim Browning, Matteo Verzobio
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Advanced Theory and Simulations, Volume 7, Issue 6, June 2024.The fractal dimension of a surface allows its degree of roughness to be characterized quantitatively. The 3D surface computed from precise atomic coordinates can be represented as either a voxelized point cloud or a mathematically exact surface. Sphractal is a Python package that estimates the fractal dimensions of such surfaces by computing their box ...
Jonathan Yik Chang Ting +2 more
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