Results 91 to 100 of about 33,997 (183)
Triangle Tiling V: Tilings by a tile with integer sides
, 2012 An N-tiling of triangle ABC by triangle T is a way of writing ABC as a union of N triangles congruent to T, overlapping only at their boundaries. The triangle T is the "tile". The tile may or may not be similar to ABC. We wish to understand possible tilings by completely characterizing the triples (ABC, T, N) such that ABC can be N-tiled by T.
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Tilings with congruent tiles [PDF]
Bulletin of the American Mathematical Society, 1980 Grünbaum, Branko, Shephard, G. C.
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An interaction network approach predicts protein cage architectures in bionanotechnology. [PDF]
Proc Natl Acad Sci U S A, 2023 Fatehi F, Twarock R.
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A data-driven framework for structure-property correlation in ordered and disordered cellular metamaterials. [PDF]
Sci Adv, 2023 Luan S, Chen E, John J, Gaitanaros S.
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2025 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR)Image tiling -- the seamless connection of disparate images to create a coherent visual field -- is crucial for applications such as texture creation, video game asset development, and digital art. Traditionally, tiles have been constructed manually, a method that poses significant limitations in scalability and flexibility.
Or Madar, Ohad Fried
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Patch frequencies in rhombic Penrose tilings. [PDF]
Acta Crystallogr A Found Adv, 2023 Mazáč J.
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Spin dynamics, loop formation and cooperative reversal in artificial quasicrystals with tailored exchange coupling. [PDF]
Commun Phys, 2023 Bhat VS +4 more
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TILINGS BY REGULAR POLYGONS—II A CATALOG OF TILINGS
, 1989 It is assumed that an (edge-to-edge) tiling by regular polygons has, under its symmetry group, v orbits of vertices, t orbits of tiles and e orbits of edges. In the terminology by \textit{B. Grünbaum} and \textit{G. C. Shephard} [Tilings and patterns (1987; Zbl 0601.05001)] such a tiling would be called ``v-isogonal'', ``t-isohedral'' and ``e-isotoxal''
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Periodicity of joint co-tiles in $\mathbb{Z}^d$
Discrete AnalysisPeriodicity of joint co-tiles in $\mathbb{Z}^d$, Discrete Analysis 2024:13, 32 pp. A finite subset, or *tile*, $F$ of an abelian group $G$ is said to *tile $G$ by translations* if there there is some complementary set, or *co-tile*, $A$ of $G$ such that
Tom Meyerovitch +2 more
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Chiral spiral cyclic twins. II. A two-parameter family of cyclic twins composed of discrete circle involute spirals. [PDF]
Acta Crystallogr A Found Adv, 2023 Hornfeck W.
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