An H-polygon is a polygon with corners in the set of vertices of a tiling of R~2 by regular hexagons of unit edge.It is known that any H-triangle with exactly k interior H-points can have at most 3k+7 boundary H-point...
supported by the Base and Talent Project of Science and Technology of Guangxi Zhuang Autonomous Region of China under Grant Nos.AA21196008 and 2024AC45008;the Guangxi Natural Science Foundation under Grant No.2024GXNSFAA010507;the Natural Science Foundation of China under Grant Nos.62462004 and 62062042;the Doctor Startup Foundation of Guangxi University of Science and Technology under Grant No.21Z48;the Philosophy and Social Science Research Foundation of Guangxi Zhuang Autonomous Region of China under Grant No.23FWY025.
“Smaller and Smaller” is a woodcut by the Dutch artist M.C. Escher in which the lizards designed in a rosette tiling approach the centre by geometric series. This paper proposes an easy method to generate drawings s...
financial support provided by the Australian Research Council(FL190100014,DP200102190).
Tessellations have been widely used in architectural designs to create visually striking surfaces by repeating a small number of elements.While there has been extensive research on 2D tiling over the past 2000 years,t...
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...
the National Natural Science Foun-dation of China(Grant No.11674102)。
Based on the substitution rule and symmetry, we propose a method to generate an octagonal quasilattice consisting ofsquare and rhombus tiles. Local configurations and Ammann lines are used to guide the growth of the t...
supported by grants from the National Natural Science Foundation of China,China (31871948);the STI 2030–Major Projects (2023ZD04074);the Hainan Yazhou Bay Seed Lab (B21HJ0215);the Central Public-interest Scientific Institution Basal Research Fund (Y2022QC03);the Key Research and Development Program of Shandong Province,China (Agricultural Seed Improvement Project,2022LZGC012);the Agricultural Science and Technology Innovation Program of the Chinese Academy of Agricultural Sciences,China。
Dear Editor,This study reports a nuclease-mediated tiling deletion(NTD)method that uses LbCas12a nuclease with a tiling CRISPRderived RNA(crRNA)library to efficiently induce numerous nucleotide deletions in non-coding...
supported by the National Key R&D Program of China(Grant No.2022YFA1604401);the Shanghai Science and Technology Committee Program(Grant Nos.22560780100 and 23560750200);the National Natural Science Foundation of China(Grant No.61925507).
After reaching a world record of 10 PW,the peak power development of the titanium-sapphire(Ti:sapphire)PW ultraintense lasers has hit a bottleneck,and it seems to be difficult to continue increasing due to the difficu...
Supported by Program for the National Natural Science Foundation of China (Nos.52103334,52071053,U1704253);the China Postdoctoral Science Foundation(Nos.2020M680946,2020M670748);the Fundamental Research Funds for the Central Universities (No.DUT20GF111)。
In the electronic information and intelligent era, microwave absorption materials have been focused on the issue of electromagnetic(EM) pollution, but high-performance absorbers with thin thickness are highly desirabl...
Project supported by the National Natural Science Foundation of China(Grant No.11674102)。
The Ammann–Beenker tiling is a typical model for two-dimensional octagonal quasicrystals. The geometric properties of local configurations are the key to understanding its formation mechanism. We study the configurat...