Unfolding Genus-2 Orthogonal Polyhedra with Linear Refinement
Sign Up to like & getrecommendations! Published in 2017 at "Graphs and Combinatorics"
DOI: 10.1007/s00373-017-1849-5
Abstract: We show that every orthogonal polyhedron of genus $$g \le 2$$g≤2 can be unfolded without overlap while using only a linear number of orthogonal cuts (parallel to the polyhedron edges). This is the first result… read more here.
Keywords: genus orthogonal; polyhedra linear; linear refinement; unfolding genus ... See more keywords
Discrete element model for general polyhedra
Sign Up to like & getrecommendations! Published in 2021 at "Computational particle mechanics"
DOI: 10.1007/s40571-021-00415-z
Abstract: We present a version of the Discrete Element Method considering the particles as rigid polyhedra. The Principle of Virtual Work is employed as basis for a multibody dynamics model. Each particle surface is split into… read more here.
Keywords: discrete element; polyhedra; general polyhedra; model ... See more keywords
Uniquely structured quaternary metal oxide polyhedra as efficient anode materials for lithium-ion batteries
Sign Up to like & getrecommendations! Published in 2020 at "Applied Surface Science"
DOI: 10.1016/j.apsusc.2019.144918
Abstract: Abstract Yolk–shell materials have been synthesized by various techniques including the sacrificial carbon template method and spray process, in which the carbon template was formed as an intermediate product. Here, uniquely structured quaternary transition metal… read more here.
Keywords: carbon; uniquely structured; structured quaternary; polyhedra ... See more keywords
The first peak splitting of the GeGe pair RDF in the correlation to network structure of GeO2 under compression
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Non-crystalline Solids"
DOI: 10.1016/j.jnoncrysol.2017.01.003
Abstract: Abstract The network structure of GeO2 at 3500 K and under pressure of 0–100 GPa is investigated in terms of the short range order (SRO) and intermediate range order (IRO) by molecular dynamics simulation. The results show… read more here.
Keywords: polyhedra; structure geo2; network; pressure ... See more keywords
Equally circumscribed cyclic polyhedra generalize Platonic solids
Sign Up to like & getrecommendations! Published in 2019 at "Mechanism and Machine Theory"
DOI: 10.1016/j.mechmachtheory.2018.10.004
Abstract: Abstract This paper presents a methodological improvement of an approach which was recently published in this journal (Wohlhart, 2017) [1]. In this paper “equally circumscribed irregular cyclic polyhedra" were defined and a synthesizing method was… read more here.
Keywords: circumscribed cyclic; equally circumscribed; polyhedra; reflection ... See more keywords
Self-Assembly of Lanthanide-Covalent Organic Polyhedra: Chameleonic Luminescence and Efficient Catalysis.
Sign Up to like & getrecommendations! Published in 2020 at "Inorganic chemistry"
DOI: 10.1021/acs.inorgchem.0c01780
Abstract: A series of multinuclear lanthanide-covalent organic polyhedra (LnCOPs), including pillar-typed triangular prisms 1-Ln3 and tetrahedra 2-Ln4 (Ln = LaIII, SmIII, EuIII), have been constructed for the first time, through either one-pot subcomponent self-assembly or postassembly… read more here.
Keywords: organic polyhedra; self assembly; lanthanide covalent; chameleonic luminescence ... See more keywords
A Keplerian Ag90 nest of Platonic and Archimedean polyhedra in different symmetry groups
Sign Up to like & getrecommendations! Published in 2020 at "Nature Communications"
DOI: 10.1038/s41467-020-17198-1
Abstract: Polyhedra are ubiquitous in chemistry, biology, mathematics and other disciplines. Coordination-driven self-assembly has created molecules mimicking Platonic, Archimedean and even Goldberg polyhedra, however, nesting multiple polyhedra in one cluster is challenging, not only for synthesis… read more here.
Keywords: keplerian ag90; platonic archimedean; chemistry; symmetry ... See more keywords
Specific Features of Lanthanide Stereochemistry in Sulfides
Sign Up to like & getrecommendations! Published in 2020 at "Russian Journal of Inorganic Chemistry"
DOI: 10.1134/s0036023620120153
Abstract: Crystallochemical analysis with the use of Voronoi–Dirichlet polyhedra (VDPs) has been performed for 711 sulfides, whose structures contain 1199 coordination polyhedra LnSn, where Ln is a lanthanide from La to Lu. It has been established… read more here.
Keywords: specific features; stereochemistry sulfides; features lanthanide; polyhedra ... See more keywords
Trivalent Polyhedra as Duals of Borane Deltahedra: From Molecular Endohedral Germanium Clusters to the Smallest Fullerenes
Sign Up to like & getrecommendations! Published in 2023 at "Molecules"
DOI: 10.3390/molecules28020496
Abstract: The duals of the most spherical closo borane deltahedra having from 6 to 16 vertices form a series of homologous spherical trivalent polyhedra with even numbers of vertices from 8 to 28. This series of… read more here.
Keywords: endohedral germanium; polyhedra; series; trivalent polyhedra ... See more keywords
Some New Symmetric Equilateral Embeddings of Platonic and Archimedean Polyhedra
Sign Up to like & getrecommendations! Published in 2018 at "Symmetry"
DOI: 10.3390/sym10090382
Abstract: The icosahedron and the dodecahedron have the same graph structures as their algebraic conjugates, the great dodecahedron and the great stellated dodecahedron. All four polyhedra are equilateral and have planar faces-thus ``EP{''}-and display icosahedral symmetry.… read more here.
Keywords: platonic archimedean; symmetric equilateral; embeddings platonic; symmetry ... See more keywords