TILINGS

作品数:22被引量:20H指数:2
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相关领域:理学自动化与计算机技术更多>>
相关作者:姚海洪李建林周脉东李文侠鲁坚更多>>
相关机构:陕西师范大学陕西教育学院华东师范大学上海交通大学更多>>
相关期刊:《Chinese Journal of Polymer Science》《科学技术与工程》《Science Bulletin》《Journal of Southeast University(English Edition)》更多>>
相关基金:国家自然科学基金陕西省自然科学基金上海市教育委员会重点学科基金教育部科学技术研究重点项目更多>>
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2D hexagonal tessellations sustained by Br…Br/H contacts:From regular to semiregular to k-uniform tilings
《Chinese Chemical Letters》2025年第3期458-462,共5页Junjie Duan Dan Chen Long Chen Shuying Li Ting Chen Dong Wang 
supported by the Strategic Priority Research Program of CAS(No.XDB0520201);the National Natural Science Foundation of China((Nos.22132007,22372175,22202208,22372030);CAS Project for Young Scientists in Basic Research(No.YSBR-053).
Achieving seamless tiling through the self-assembly of organic species has long fascinated scientists for its potential applications across various fields.However,constructing periodic nanostructures with high-order t...
关键词:2D tessellation Molecular self-assembly Scanning tunneling microscopy Noncovalent interactions 
Tilings of the Sphere by Congruent Quadrilaterals I:Edge Combination a^(2)bc
《Chinese Annals of Mathematics,Series B》2024年第5期733-766,共34页Yixi LIAO Pinren QIAN Erxiao WANG Yingyun XU 
supported by the Key Projects of Zhejiang Natural Science Foundation(No.LZ22A010003);ZJNU Shuang-Long Distinguished Professorship Fund(No.YS304319159)。
Edge-to-edge tilings of the sphere by congruent a^(2)bc-quadrilaterals are classified as 3 classes:(1)A 1-parameter family of quadrilateral subdivisions of the octahedron with24 tiles,and a flip modification for one s...
关键词:Spherical tiling QUADRILATERAL Classification Earth map tiling SUBDIVISION 
Symmetrization of quasi-regular patterns with periodic tilting of regular polygons被引量:1
《Computational Visual Media》2024年第3期559-576,共18页Zhengzheng Yin Yao Jin Zhijian Fang Yun Zhang Huaxiong Zhang Jiu Zhou Lili He 
supported by the Key R&D Programs of Zhejiang Province(Nos.2023C01224 and 2022C01220);the National Natural Science Foundation of China(No.61702458);Yun Zhang was partially supported by Zhejiang Province Public Welfare Technology Application Research(No.LGG22F020009);Key Lab of Film and TV Media Technology of Zhejiang Province(No.2020E10015).
Computer-generated aesthetic patterns arewidely used as design materials in various fields. Themost common methods use fractals or dynamicalsystems as basic tools to create various patterns. Toenhance aesthetics and c...
关键词:quasi-regular patterns(QRP) k-uniform tilings invariant mappings symmetry aesthetic patterns 
Unconventional 2D Periodic Nanopatterns Based on Block Molecules
《Chinese Journal of Polymer Science》2023年第10期1508-1524,共17页Bo Hou Wen-Bin Zhang Yu Shao 
financially supported by the National Natural Science Foundation of China (Nos. 21925102, 21991132, 92056118 and 22101010);the financial support from the National Key R&D Program of China (No. 2018YFB0703702);Beijing National Laboratory for Molecular Sciences (No. BNLMS-CXXM-202006)
This review summarizes the self-assembly of block molecules forming unconventional two-dimensional(2D)periodic nanopatterns.Especially,we emphasize the structural evolution from simple columnar phases to complex 2D ti...
关键词:Two-dimensional ordered morphologies Block molecules Directed self-assembly Nanofabrication Tilings and patterns 
Wiener Number of Some Subgraphs in Archimedean Tilings
《Applied Mathematics》2021年第11期939-946,共8页Yunjing Pan 
In this paper, we deduce Wiener number of some connected subgraphs in tilings (4, 4, 4, 4) and (4, 6, 12), which are in Archimedean tilings. And compute their average distance.
关键词:Archimedean Tiling Wiener Number Binary Hamming Graph Average Distance 
Partial Cubes and Archimedean Tilings被引量:1
《Acta Mathematicae Applicatae Sinica》2018年第4期782-791,共10页Yun-jing PAN Ming-fang XIE Fu-ji ZHANG 
Supported by the National Natural Science Foundation of China under Grant No.11471273 and No.11271307;Youth Research Fund Project of Chengyi College of Jimei University under Grant No.CK17007
Some physicists depicted the molecular structure SnCl_2 · 2(H_2O) by a piece of an Archimedean tiling(4.8.8) that is a partial cube. Inspired by this fact, we determine Archimedean tilings whose connected subgrap...
关键词:archimedean tiling wiener number partial cube average distance 
The Tilings of Deficient Squares by Ribbon <i>L</i>-Tetrominoes Are Diagonally Cracked
《Open Journal of Discrete Mathematics》2017年第3期165-176,共12页Viorel Nitica 
We consider tilings of deficient rectangles by the set T4 of ribbon L-tetro-minoes. A tiling exists if and only if the rectangle is a square of odd side. The missing cell has to be on the main NW-SE diagonal, in an od...
关键词:Tiling DEFICIENT RECTANGLES RIBBON Tetromino 
Signed Tilings by Ribbon L n-Ominoes, n Odd, via Gröbner Bases被引量:1
《Open Journal of Discrete Mathematics》2016年第4期297-313,共17页Viorel Nitica 
We show that a rectangle can be signed tiled by ribbon L n-ominoes, n odd, if and only if it has a side divisible by n. A consequence of our technique, based on the exhibition of an explicit Gröbner basis, is tha...
关键词:POLYOMINO Replicating Tile L-Shaped Polyomino Skewed L-Shaped Polyomino Signed Tilings Gröbner Basis Coloring Invariants 
Signed Tilings by Ribbon L n-Ominoes, n Even, via Gröbner Bases被引量:1
《Open Journal of Discrete Mathematics》2016年第3期185-206,共22页Kenneth Gill Viorel Nitica 
Let Tn be the set of ribbon L-shaped n-ominoes for some n≥4 even, and let T+n be Tn with an extra 2 x 2 square. We investigate signed tilings of rectangles by Tn...
关键词:POLYOMINO Replicating Tile L-Shaped Polyomino Skewed L-Shaped Polyomino Signed Tilings Gröbner Basis Tiling Rectangles Coloring Invariants 
Spherical f-Tilings by Two Noncongruent Classes of Isosceles Triangles-Ⅱ
《Acta Mathematica Sinica,English Series》2014年第8期1435-1464,共30页Ana BREDA Robert DAWSON Patrícia RIBEIRO 
Supported by FEDER funds through COMPETE Operational Programme Factors of Competitiveness(Programa Operacional Factores de Competitividade);Supported by FSE;Supported by Portuguese funds through the Center for Researchand Development in Mathematics and Applications(University of Aveiro);the Portuguese Foundation for Science and Technology(FCT Fundao para a Ciência e a Tecnologia);project PEst-C/MAT/UI4106/2011 with COMPETE number FCOMP-01-0124-FEDER-022690;supported partially by an NSERC Canada Discovery Grant
In this work,we give a complete classification of spherical dihedral f-tilings when the prototiles are two noncongruent isosceles triangles with certain adjacency pattern.As it will be shown,this class is composed by ...
关键词:Spherical tilings dihedral TRIANGULATIONS f-tilings spherical trigonometry 
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