Relevant bibliographies by topics / Tessellation pattern

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Tessellation pattern'

Author: Grafiati
Published: 4 June 2021
Last updated: 5 February 2022

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Journal articles on the topic "Tessellation pattern"

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Cledumas, ABDULLAH Musa, YUSRI BIN KAMIN, RABIU HARUNA, and SHUAIBU HALIRU. "THE THE APPLICATION OF GENERIC GREEN SKILLS IN TESSELLATION OF REGULAR POLYGONS FOR ECONOMIC AND SOCIAL SUSTAINABILITY." Asia Proceedings of Social Sciences 4, no. 3 (2019): 121–24. http://dx.doi.org/10.31580/apss.v4i3.873.

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 This paper proposes an improved modelling approach for tessellating regular polygons in such a way that it is environmentally sustainable. In this paper, tessellation of polygons that have been innovated through the formed motifs, is an innovation from the traditional tessellations of objects and animals. The main contribution of this work is the simplification and innovating new patterns from the existing regular polygons, in which only three polygons (triangle, square and hexagon) that can free be tessellated are used, compared to using irregular polygons or other objects. Thi
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Clauss, Judith Enz. "Pentagonal Tessellations." Arithmetic Teacher 38, no. 5 (1991): 52–56. http://dx.doi.org/10.5951/at.38.5.0052.

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Investigating tessellations can furnish enjoyable and exciting mathe matics-inquiry activities for elementary and middle school students. The word tessellation come from a Latin word meaning “to pave with tiles,” or “to make a mosaic of.” When polygons are fitted together to cover a plane with no spaces between them and no overlapping, the pattern formed is called a tessellation. Creating and studying these patterns helps students to investigate basic properties of angles and polygons. Additionally, students develop skills in using rulers and protractors.
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Ferraro, M., and L. Zaninetti. "On Non-Poissonian Voronoi Tessellations." Applied Physics Research 7, no. 6 (2015): 108. http://dx.doi.org/10.5539/apr.v7n6p108.

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<p>The Voronoi tessellation is the partition of space for a given seeds pattern and the result of the partition depends completely on the type of given pattern ”random”, Poisson-Voronoi tessellations (PVT), or ”non-random”, Non Poisson-Voronoi tessellations. In this note we shall consider properties of Voronoi tessellations with centers gener-ated by Sobol quasi random sequences which produce a more ordered disposition of the centers with respect to the PVT case. A probability density function for volumes of these Sobol Voronoi tessellations (SVT) will be proposed and compared with resul
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León, Roberto, Werner Nagel, Joachim Ohser, and Steve Arscott. "Modeling Crack Patterns by Modified STIT Tessellations." Image Analysis & Stereology 39, no. 1 (2020): 33–46. http://dx.doi.org/10.5566/ias.2245.

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Random planar tessellations are presented which are generated by subsequent division of their polygonal cells. The purpose is to develop parametric models for crack patterns appearing at length scales which can change by orders of magnitude in areas such as nanotechnology, materials science, soft matter, and geology. Using the STIT tessellation as a reference model and comparing with phenomena in real crack patterns, three modifications of STIT are suggested. For all these models a simulation tool, which also yields several statistics for the tessellation cells, is provided on the web. The sof
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Průša, Daniel. "Complexity of Matching Sets of Two-Dimensional Patterns by Two-Dimensional On-Line Tessellation Automaton." International Journal of Foundations of Computer Science 28, no. 05 (2017): 623–40. http://dx.doi.org/10.1142/s012905411740010x.

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We study the two-dimensional pattern matching implemented using the deterministic two-dimensional on-line tessellation automaton. This restricted two-dimensional cellular automaton is able to simulate the Baker–Bird algorithm, which was proposed as the first algorithm for the two-dimensional pattern matching. We explore capabilities of this automaton to carry out the matching task against an arbitrary set of equal-sized patterns. To measure amount of resources needed to accomplish it, we introduce the pattern complexity of a picture language. We show that this complexity ranges from a constant
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DE LACY COSTELLO, B. P. J., I. JAHAN, P. HAMBIDGE, K. LOCKING, D. PATEL, and A. ADAMATZKY. "CHEMICAL TESSELLATIONS — RESULTS OF BINARY AND TERTIARY REACTIONS BETWEEN METAL IONS AND FERRICYANIDE OR FERROCYANIDE LOADED GELS." International Journal of Bifurcation and Chaos 20, no. 07 (2010): 2241–52. http://dx.doi.org/10.1142/s0218127410027064.

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In our recent letter [de Lacy Costello et al., 2009] we described the formation of spontaneous complex tessellations of the plane constructed in simple chemical reactions between drops of metal salts and ferricyanide or ferrocyanide loaded gels. In this paper, we provide more examples of binary tessellations and extend our analysis to tessellations constructed via tertiary mixtures of reactants. We also provide a classification system which describes the tessellation based on the reactivity of the metal salt with the substrate and also the cross-reactivity of the primary products. This results
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Šedivý, Ondřej, Jules Mullen Dake, Carl Emil Krill III, Volker Schmidt, and Aleš Jäger. "DESCRIPTION OF THE 3D MORPHOLOGY OF GRAIN BOUNDARIES IN ALUMINUM ALLOYS USING TESSELLATION MODELS GENERATED BY ELLIPSOIDS." Image Analysis & Stereology 36, no. 1 (2017): 5. http://dx.doi.org/10.5566/ias.1656.

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Parametric tessellation models are often used to approximate complex grain morphologies of polycrystalline microstructures. A big advantage of such models is the substantial reduction in disk space required to store large, three-dimensional data sets, especially when compared with voxel-based alternatives. By selection of an appropriate tessellation model, a reasonably small loss of information on the real grain shapes can usually be achieved. Special attention has recently been devoted to models based on ellipsoidal approximations fitted to each grain. Faces of these tessellations are portion
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Bormashenko, Legchenkova, and Frenkel. "Symmetry and Shannon Measure of Ordering: Paradoxes of Voronoi Tessellation." Entropy 21, no. 5 (2019): 452. http://dx.doi.org/10.3390/e21050452.

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The Voronoi entropy for random patterns and patterns demonstrating various elements of symmetry was calculated. The symmetric patterns were characterized by the values of the Voronoi entropy being very close to those inherent to random ones. This contradicts the idea that the Voronoi entropy quantifies the ordering of the seed points constituting the pattern. Extension of the Shannon-like formula embracing symmetric patterns is suggested. Analysis of Voronoi diagrams enables the elements of symmetry of the patterns to be revealed.
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Kenkel, N. C., J. A. Hoskins, and W. D. Hoskins. "Local competition in a naturally established jack pine stand." Canadian Journal of Botany 67, no. 9 (1989): 2630–35. http://dx.doi.org/10.1139/b89-339.

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The spatial pattern of 1375 jack pine individuals (459 live, 257 standing dead, and 659 stumps) in a pure, even-aged, naturally established stand was mapped. Three maps corresponding to different stages of stand development were recognized: live + dead (initial pattern, n = 1375), live (following self-thinning, n = 459), and live + standing dead (survivors plus most recent mortality, n = 716). The Dirichlet-Thiessen tessellations of these maps indicated that the distribution of tile areas (area potentially available) becomes increasingly equitable over time. A significant positive correlation
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Cruz-Orive, Luis M. "THE PIVOTAL TESSELLATION." Image Analysis & Stereology 28, no. 2 (2011): 63. http://dx.doi.org/10.5566/ias.v28.p63-67.

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The tessellation studied here is motivated by some stereological applications of a new expression for the motion invariant density of straight lines in R3. The term 'pivotal' stems from the fact that the tessellation is constructed within a plane which is isotropic through a fixed, 'pivotal' origin. Consider either a stationary point process, or a stationary random lattice of points in that plane. Through each point event draw a straight line which is perpendicular to the axis determined by the origin and the point event. The union of all such lines (called p-lines) constitutes the mentioned t
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Dissertations / Theses on the topic "Tessellation pattern"

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Jamali, Firouzabadi Farshad. "Magic carpet : digital interpretation of traditional tessellation patterns." Thesis, University of British Columbia, 2008. http://hdl.handle.net/2429/4163.

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Contemporary architecture has failed to engage the rich culture of planar and spatial transformations of historical Muslim architecture, often relegating it to a form of naive pastiche or, at best, to the realm of historical reconstruction. In this project we make use of current digital technologies in an attempt to revisit and reinterpret, in modern terms, the geometric structure of patterns embedded in the historic Islamic architecture of Iran. The original contribution of this project lies in extending traditional two dimensional tiling patterns into a dynamic three dimensional state with t
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A-iyeh, Enoch. "Voronoi tessellation quality: applications in digital image analysis." A-iyeh E., Peters, J.F, Proximal Groupoid Patterns in Digital Images, Computing Research Repository: Computer Vision and Pattern Recognition, 2016, 2017. http://hdl.handle.net/1993/32055.

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A measure of the quality of Voronoi tessellations resulting from various mesh generators founded on feature-driven models is introduced in this work. A planar tessellation covers an image with polygons of various shapes and sizes. Tessellations have potential utility due to their geometry and the opportunity to derive useful information from them for object recognition, image processing and classification. Problem domains including images are generally feature-endowed, non-random domains. Generators modeled otherwise may easily guarantee quality of meshes but certainly bear no referen
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Evans, Thomas. "Deployable and Foldable Arrays of Spatial Mechanisms." BYU ScholarsArchive, 2015. https://scholarsarchive.byu.edu/etd/5321.

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This work evaluates a specific origami device known as the kaleidocycle and the broad classof rigidly foldable origami. Both of these have potential for application in the design of deployableand foldable arrays of spatial mechanisms.Origami is considered a compliant mechanisms because it achieves its motion through thedeflection of paper creases. Compliant mechanisms generally do not allow for continuous rotation;however, the compliant kaleidocycle represents an exception to this generality. Along with theirability to rotate continuously, kaleidocycles may also be designed to exhibit multista
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Barr, Christopher David. "Applications of Voronoi tessellations in point pattern analysis." Diss., Restricted to subscribing institutions, 2008. http://proquest.umi.com/pqdweb?did=1619485521&sid=1&Fmt=2&clientId=1564&RQT=309&VName=PQD.

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Chen, Yu-An, and 陳宇安. "Algorithmic Tessellation: on Generations of Digital Pattern in Semi-Regular Polyhedron." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/eaw656.

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碩士<br>淡江大學<br>建築學系碩士班<br>106<br>There are two main presentations of 2-dimensional tessellation, one is the combination of regular polygon, such as: square, hexagon; and another one is the deformation of these polygons, such as: birds and fishes in《Sky and Water》or lizards in《Lizards》by M. C. Escher. Meanwhile the tessellating topic in 3-dimensional mainly reflect on polyhedral honeycomb and geometry framework, but not included the deformation of polyhedron nor the spatial form that could be generated by honeycomb behavior. The purpose of this dissertation is to seek the form generating possibi
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Irvine, Veronika. "Lace tessellations: a mathematical model for bobbin lace and an exhaustive combinatorial search for patterns." Thesis, 2016. http://hdl.handle.net/1828/7495.

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Bobbin lace is a 500-year-old art form in which threads are braided together in an alternating manner to produce a lace fabric. A key component in its construction is a small pattern, called a bobbin lace ground, that can be repeated periodically to fill a region of any size. In this thesis we present a mathematical model for bobbin lace grounds representing the structure as the pair (Δ(G), ζ (v)) where Δ(G) is a topological embedding of a 2-regular digraph, G, on a torus and ζ(v) is a mapping from the vertices of G to a set of braid words. We explore in depth the properties that Δ(G) must
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Books on the topic "Tessellation pattern"

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Jackie, Robinson. Tessellations. Animas Quilts Pub., 1992.

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Designing tessellations: The secrets of interlocking patterns. Contemporary Books, 1999.

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Tessellations & variations: Creating one-patch and two-patch quilts. American Quilter's Society, 1995.

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Publishing, Pattern Coloring Books. Tessellation Coloring Book: Tessellation Pattern Coloring Book for Adults Relaxation and Stress Relieving, 100 Amazing Geometric Patterns for Stress Relief. Independently Published, 2020.

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Publishing, Pattern Coloring Books. TESSELLATION Adult Coloring Book: Tessellation Pattern Coloring Book for Adults Relaxation and Stress Relieving, 100 Amazing Geometric Patterns for Stress Relief. Independently Published, 2020.

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Publishing, Pattern Coloring Books. 100 Tessellation Coloring Pages: Tessellation Pattern Coloring Book for Adults Relaxation and Stress Relieving, 100 Amazing Geometric Patterns for Stress Relief. Independently Published, 2020.

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Publishing, Pattern Coloring Books. TESSELLATIONS PATTERNS Stress Relief Coloring Book: Tessellation Pattern Coloring Book for Adults Relaxation and Stress Relieving, 100 Amazing Geometric Patterns for Stress Relief. Independently Published, 2020.

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DiLeonardo-Parker, Benjamin. Six Simple Twists: The Pleat Pattern Approach to Origami Tessellation Design. Taylor & Francis Group, 2015.

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DiLeonardo-Parker, Benjamin. Six Simple Twists: The Pleat Pattern Approach to Origami Tessellation Design. A K Peters, Limited, 2020.

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DiLeonardo-Parker, Benjamin. Six Simple Twists: The Pleat Pattern Approach to Origami Tessellation Design. A K Peters, Limited, 2020.

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Book chapters on the topic "Tessellation pattern"

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Polcar, Tomáš, and Bořivoj Melichar. "Two-Dimensional Pattern Matching by Two-Dimensional Online Tessellation Automata." In Implementation and Application of Automata. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/978-3-540-30500-2_38.

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Suzuki, Hirotaka. "Utilization of Plane Tessellation for Paper Folding and Geometrical Transmittance Pattern for Lampshade Design." In Advances in Intelligent Systems and Computing. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-95588-9_92.

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Beber, Alessandro. "Origami Tessellations: Designing Paperfolded Geometric Patterns." In Imagine Math 7. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-42653-8_9.

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Robinson, T., S. Jebasingh, Atulya K. Nagar, and K. G. Subramanian. "Tile Pasting Systems for Tessellation and Tiling Patterns." In Computational Modeling of Objects Represented in Images. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-12712-0_7.

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Hankin, David G., Michael S. Mohr, and Ken B. Newman. "Spatially balanced sampling." In Sampling Theory. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198815792.003.0012.

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In many ecological and natural resource settings, there may be a high degree of spatial structure or pattern to the distribution of target variable values across the landscape. For example, the number of trees per hectare killed by a bark beetle infestation may be exceptionally high in one region of a national forest and near zero elsewhere. In such circumstances it may be highly desirable or even required that a sample survey directed at estimation of total tree mortality across a forest be based on selection of random locations that have good spatial balance, i.e., locations are well spread over the landscape with relatively even distances between them. A simple random sample cannot guarantee good spatial balance. We present two methods that have been proposed for selection of spatially balanced samples: GRTS (Generalized Random Tessellation Stratified Sampling) and BAS (Balanced Acceptance Sampling). Selection of samples using the GRTS approach involves a complicated series of sequential steps that allows generation of spatially balanced samples selected from finite populations or from infinite study areas. Selection of samples using BAS relies on the Halton sequence, is conceptually simpler, and produces samples that generally have better spatial balance than those produced by GRTS. Both approaches rely on use of software that is available in the R statistical/programming environment. Estimation relies on the Horvitz–Thompson estimator. Illustrative examples of running the SPSURVEY software package (used for GRTS) and links to the SDraw package (used for BAS) are provided at http://global.oup.com/uk/companion/hankin.
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"Tessellation of Islamic star patterns on complex forms." In Structures and Architecture. CRC Press, 2013. http://dx.doi.org/10.1201/b15267-107.

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Conference papers on the topic "Tessellation pattern"

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Fuchi, Kazuko, Andrew S. Gillman, Alexander B. Cook, Alexander M. Pankonien, and Philip R. Buskohl. "Designing Fractal Origami Tessellations Through Eigen Analysis." In ASME 2018 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/smasis2018-8020.

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This article investigates a method of designing fractal origami tessellations through eigen analysis. Foldable structures with hierarchical geometric features could be beneficial in applications where a graded functionality is desired. A representative unit in an origami tessellation is modeled as networked truss elements with torsional springs at fold lines. Eigen analysis and nonlinear mechanics analysis of the representative unit with fractal boundary conditions reveal the foldability of a given fractal origami crease pattern out of its flat state. This configuration can be used to construc
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Cicerone, Serafino, Alessia Di Fonso, Gabriele Di Stefano, and Alfredo Navarra. "Arbitrary Pattern Formation on Infinite Regular Tessellation Graphs." In ICDCN '21: International Conference on Distributed Computing and Networking 2021. ACM, 2020. http://dx.doi.org/10.1145/3427796.3427833.

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Cao, Yu, Lili Ju, Qin Zou, Chengzhang Qu, and Song Wang. "A Multichannel Edge-Weighted Centroidal Voronoi Tessellation algorithm for 3D super-alloy image segmentation." In 2011 IEEE Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2011. http://dx.doi.org/10.1109/cvpr.2011.5995590.

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Gattas, Joseph M., and Zhong You. "Quasi-Static Impact Response of Alternative Origami-Core Sandwich Panels." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12681.

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Foldcore sandwich panels have been the focus of much recent study in the aerospace industry. Existing foldcores are composed of a partially folded Miura origami pattern sandwiched between two stiff facings, and have been shown to possess numerous useful properties for impact-resistant applications. Non-Miura origami pattern with similar geometric properties, specifically rigid-foldability and tessellation, may be used as potential alternative origami-cores for sandwich panels, however the mechanical performance of such cores remains an unexplored area. This paper conducts a preliminary investi
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Zhou, Youjie, Lili Ju, Yu Cao, et al. "Edge-Weighted Centroid Voronoi Tessellation with Propagation of Consistency Constraint for 3D Grain Segmentation in Microscopic Superalloy Images." In 2014 IEEE Conference on Computer Vision and Pattern Recognition Workshops (CVPRW). IEEE, 2014. http://dx.doi.org/10.1109/cvprw.2014.47.

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Cardona, Carolina, Andres Tovar, and Sohel Anwar. "Optimal Design for Deployable Structures Using Origami Tessellations." In ASME 2019 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/imece2019-11062.

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Abstract This work presents innovative origami optimization methods for the design of unit cells for complex origami tessellations that can be utilized for the design of deployable structures. The design method used to create origami tiles utilizes the principles of discrete topology optimization for ground structures applied to origami crease patterns. The initial design space shows all possible creases and is given the desired input and output forces. Taking into account foldability constraints derived from Maekawa’s and Kawasaki’s theorems, the algorithm designates creases as active or pass
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Tachi, Tomohiro. "Freeform Origami Tessellations by Generalizing Resch’s Patterns." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12326.

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In this research, we study a method to produce families of origami tessellations from given polyhedral surfaces. The resulting tessellated surfaces generalize the patterns proposed by Ron Resch and allow the construction of an origami tessellation that approximates a given surface. We will achieve these patterns by first constructing an initial configuration of the tessellated surfaces by separating each facets and inserting folded parts between them based on the local configuration. The initial configuration is then modified by solving the vertex coordinates to satisfy geometric constraints o
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Yang, Yunfang, and Zhong You. "3D Construction of a Tilted Cuboid Mechanical Metamaterial." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-87050.

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Functional metamaterials are gradually becoming the frontier of scientific research and industrial applications. Among them, reconfigurable mechanical metamaterial with inbuilt motion capability could result in unusual physical properties such as shape tunability and programmable density and stiffness. Inspired by the transformable cuboid structure that was first investigated by Ron Resch, we proposed a tilted cuboid structure that can fold into a 3D configuration. By designing the individual building units, face angles and tessellation pattern, we are able to construct a series of reconfigura
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Alqasimi, Ahmad, and Craig Lusk. "Shape-Morphing Space Frame (SMSF) Using Linear Bistable Elements." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-47526.

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This paper presents a new concept: a Shape-Morphing Space Frame (SMSF), which is a novel application utilizing the Linear Bistable Compliant Crank-Slider Mechanism (LBCCSM). The frame’s initial shape is constructed from a single-layer grid of flexures, rigid links and LBCCSMs. The grid is bent into the space frame’s initial cylindrical shape, which can morph because of the inclusion of LBCCSMs in its structure. The design parameters consist of the frame’s initial height, its tessellation pattern (including bistable elements’ placement), its initial diameter, and the final desired shape. The me
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Ho, Kar Cheong, Nan Zhang, Jianguo Lin, and Trevor Anthony Dean. "An Integrated Approach for Virtual Microstructure Generation and Micro-Mechanics Modelling for Micro-Forming Simulation." In 2007 First International Conference on Integration and Commercialization of Micro and Nanosystems. ASMEDC, 2007. http://dx.doi.org/10.1115/mnc2007-21639.

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To aid FE simulation for forming micro-components, an integrated approach is proposed to generate virtual microstructure for micro-mechanics modelling. Based on Voronoi tessellation and the probability theory, a VGRAIN system is created for the generation of grains and grain boundaries for micro-materials. The input data of the system are physical parameters of a material, including average, minimum and maximum grain sizes. Numerical procedures have been established to link the physical parameters of a material to the control variable in a gamma distribution equation and a method has been deve
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