Relevant bibliographies by topics / Quadrilateral

Contents

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

Academic literature on the topic 'Quadrilateral'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Quadrilateral"

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Chairunnisa Inayatusufi and Tian Abdul Aziz. "Design of Quadrilateral Learning with RME Approach for Junior High School Students." JURNAL RISET PEMBELAJARAN MATEMATIKA SEKOLAH 5, no. 2 (2021): 1–13. http://dx.doi.org/10.21009/jrpms.052.01.

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The purpose of this study is to provide alternative learning options, with a realistic mathematics education learning design or RME on quadrilaterl material for Junior High School students. This writing uses instructional design to develop a learning model. Learning development is done by analyzing needs and learners. Performance objectives and learning outcomes are discussed in detail and adapted to instructional objectives. The results of this study indicate that a quadrilateral learning design by applying the RME approach is recommended for educators in conducting quadrilateral learning. Th
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Na, Hyeonseok, Seonghwan Jin, Eunsung Jung, Gunwoo Han, and Youngmin Cho. "A Study on the Macbeath inconic of Convex Quadrilaterals and Orthic inconic of Convex Quadrilaterals." Korean Science Education Society for the Gifted 15, no. 3 (2023): 483–93. http://dx.doi.org/10.29306/jseg.2023.15.3.483.

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This study was based on the research results conducted as an R&E project for gifted students with financial support from the Korea Foundation for the Advancement of Science and Creativity. In this study, the Macbeath inconic and Orthic inconic defined in triangles are expanded to convex quadrilateral to study the Macbeath inconic of convex quadrilaterals and the Orthic inconic of convex quadrilaterals. Through this study, the following research results are obtained. First, it is discovered that the condition for a quadrilateral in which the Macbeath inconic of a convex quadrilateral exists
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Josefsson, Martin. "New characterisations of bicentric quadrilaterals." Mathematical Gazette 106, no. 567 (2022): 414–26. http://dx.doi.org/10.1017/mag.2022.114.

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A bicentric quadrilateral is a convex quadrilateral that can have both an incircle (it is tangential) and a circumcircle (it is cyclic), see Figure 1. We know of only a dozen characterisations of bicentric quadrilaterals published before. In all of them the starting point is either a tangential or a cyclic quadrilateral, which then must satisfy some condition in order also to be of the other type. Before we proceed to prove seven new such necessary and sufficient conditions for bicentric quadrilaterals, we review one characterisation and one property of tangential quadrilaterals that we will a
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Ekawati, Rooselyna, Ahmad Wachidul Kohar, Tatag Yuli Eko Siswono, Agung Lukito, Kai-Lin Yang, and Khoirun Nisa. "Mathematics teacher educators’ noticing of pedagogical content knowledge on hierarchical classification of quadrilateral." Infinity Journal 12, no. 2 (2023): 261–74. http://dx.doi.org/10.22460/infinity.v12i2.p261-274.

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This study aims to investigate mathematics teacher educators’ (MTE) knowledge in noticing preservice teachers’ pedagogical content knowledge (PCK) on the hierarchical classification of the quadrilateral. A multiple case study was conducted to analyze the responses of ten MTEs in an online moderated-forum group discussion (M-FGD) from their written work on the MTE-PCK test completed prior to the M-FGD. The PCK test consisted of two tasks: the task that examines MTEs’ knowledge to predict pre-service teachers’ reason in representing the hierarchical classification of quadrilateral in Venn diagra
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Josefsson, Martin. "Properties of bisect-diagonal quadrilaterals." Mathematical Gazette 101, no. 551 (2017): 214–26. http://dx.doi.org/10.1017/mag.2017.61.

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The general class of quadrilaterals where one diagonal is bisected by the other diagonal has appeared very rarely in the geometrical literature, but they have been named several times in connection with quadrilateral classifications. Günter Graumann strangely gave these objects two different names in [1, pp. 192, 194]: sloping-kite and sliding-kite. A. Ramachandran called them slant kites in [2, p. 54] and Michael de Villiers called them bisecting quadrilaterals in [3, pp. 19, 206]. The latter is a pretty good name, although a bit confusing: what exactly is bisected?We have found no papers and
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Choudhry, Ajai. "Brahmagupta quadrilaterals with equal perimeters and equal areas." International Journal of Number Theory 16, no. 03 (2019): 523–35. http://dx.doi.org/10.1142/s1793042120500268.

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A cyclic quadrilateral is called a Brahmagupta quadrilateral if the lengths of its four sides and two diagonals, and the area are all given by integers. In this paper, we consider the hitherto unsolved problem of finding two Brahmagupta quadrilaterals with equal perimeters and equal areas. We obtain two parametric solutions of the problem — the first solution generates examples in which each quadrilateral has two equal sides while the second solution gives quadrilaterals all of whose sides are unequal. We also show how more parametric solutions of the problem may be obtained.
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Hermawan, Shelvi Magreta, and Abdul Haris Rosyidi. "The Process of Relations between Quadrilaterals’ Construction Based on APOS Theory Assisted by GeoGebra Software." MATHEdunesa 13, no. 1 (2024): 145–65. http://dx.doi.org/10.26740/mathedunesa.v13n1.p145-165.

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Students' low understanding of relations between quadrilaterals indicates a problem in the construction process of quadrilateral concepts. The construction process of students can be assisted by the application of APOS theory in geometry, besides that it can develop abstract geometry knowledge through the use of appropriate geometry representations. Some studies don’t involve technology in the construction process, which makes researchers interested in implementing GeoGebra software. This research is qualitative research that aims to reveal the students' construction process about relations be
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Mammana, Maria Flavia, and Biagio Micale. "Quadrilaterals of triangle centres." Mathematical Gazette 92, no. 525 (2008): 466–75. http://dx.doi.org/10.1017/s0025557200183664.

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Let Q be a convex quadrilateral ABCD. We denote by TA, TB, Tc, TD, the four triangles BCD, CDA, DAB, ABC, respectivelyThe barycentres (or centroids), orthocentres, incentres and circumcentres of such triangles determine other quadrilaterals in their turn that we call the quadrilateral of the barycentres, of the orthocentres, of the incentres and of the circumcentres, respectively. We denote these quadrilaterals by Qb, Q0, Qi, Qc, respectively.
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RAMASWAMI, SUNEETA, MARCELO SIQUEIRA, TESSA SUNDARAM, JEAN GALLIER, and JAMES GEE. "CONSTRAINED QUADRILATERAL MESHES OF BOUNDED SIZE." International Journal of Computational Geometry & Applications 15, no. 01 (2005): 55–98. http://dx.doi.org/10.1142/s0218195905001609.

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We introduce a new algorithm to convert triangular meshes of polygonal regions, with or without holes, into strictly convex quadrilateral meshes of small bounded size. Our algorithm includes all vertices of the triangular mesh in the quadrilateral mesh, but may add extra vertices (called Steiner points). We show that if the input triangular mesh has t triangles, our algorithm produces a mesh with at most [Formula: see text] quadrilaterals by adding at most t+2 Steiner points, one of which may be placed outside the triangular mesh domain. We also describe an extension of our algorithm to conver
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Lee, Junehee, Seokhoon Hwang, Juno Yoon, Dongwoo Lee, and Youngmin Cho. "A Study on the Steiner Inellipse and Marden’s Theorem of Quadrilaterals." Korean Science Education Society for the Gifted 14, no. 2 (2022): 82–89. http://dx.doi.org/10.29306/jseg.2022.14.2.82.

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This study was based on the research results conducted as a R&E project for the gifted students with a financial support from the Korea Foundation for the Advancement of Science and Creativity. A Steiner inellipse, defined in a triangle, is the maximum-area inellipse of the triangle, and the ratio of the area of the triangle and its Steiner inellipse is constant. Also, the Steiner inellipse satisfies Marden’s theorem. In this study, we expanded the Steiner inellipse, which was defined in triangles, to a quadrilateral and researched its existence and properties—along with the absence of Mar
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Dissertations / Theses on the topic "Quadrilateral"

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NUVOLI, STEFANO. "Composing quadrilateral meshes for animation." Doctoral thesis, Università degli Studi di Cagliari, 2021. http://hdl.handle.net/11584/312917.

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The modeling-by-composition paradigm can be a powerful tool in modern animation pipelines. We propose two novel interactive techniques to compose 3D assets that enable the artists to freely remove, detach and combine components of organic models. The idea behind our methods is to preserve most of the original information in the input characters and blend accordingly where necessary. The first method, QuadMixer, provides a robust tool to compose the quad layouts of watertight pure quadrilateral meshes, exploiting the boolean operations defined on triangles. Quad Layout is a crucial property for
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Mitchell, Robert Daniel. "The Wesleyan Quadrilateral relocating the conversation /." 24-page ProQuest preview, 2007. http://proquest.umi.com/pqdweb?index=0&did=1367834161&SrchMode=1&sid=5&Fmt=14&VInst=PROD&VType=PQD&RQT=309&VName=PQD&TS=1220041911&clientId=10355.

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Dewey, Mark William. "Automated Quadrilateral Coarsening by Ring Collapse." Diss., CLICK HERE for online access, 2008. http://contentdm.lib.byu.edu/ETD/image/etd2332.pdf.

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Saliba, H. T. "Free vibration analysis of non-rectangular quadrilateral plates." Thesis, University of Ottawa (Canada), 1986. http://hdl.handle.net/10393/5264.

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Iannaccone, Andrew. "The Conformal Center of a Triangle or Quadrilateral." Scholarship @ Claremont, 2003. https://scholarship.claremont.edu/hmc_theses/149.

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Every triangle has a unique point, called the conformal center, from which a random (Brownian motion) path is equally likely to first exit the triangle through each of its three sides. We use concepts from complex analysis, including harmonic measure and the Schwarz-Christoffel map, to locate this point. We could not obtain an elementary closed form expression for the conformal center, but we show some series expressions for its coordinates. These expressions yield some new hypergeometric series identities. Using Maple in conjunction with a homemade Java program, we numerically evaluated these
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Chung, Hing-yip Ronald, and 鍾興業. "A quadrilateral-based method for object segmentation and tracking." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2003. http://hub.hku.hk/bib/B31244129.

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FIGUEIREDO, ALICE HERRERA DE. "DIRECTIONALITY FIELDS IN GENERATION AND EVALUATION OF QUADRILATERAL MESHES." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2017. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=32302@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>PROGRAMA DE EXCELENCIA ACADEMICA<br>Um dos principais desafios para a geração de malhas de quadriláteros é garantir o alinhamento dos elementos em relação às restrições do domínio. Malhas não alinhadas introduzem problemas numéricos em simulações que usam essas malhas como subdivisão do domínio. No entanto, não existe uma métrica de alinhamento para a avaliação de qualidade de malhas de quadriláteros. Um campo de direcionalidade representa a difusão das orientações das restriçõ
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Huyton, Paul. "Stability of quadrilateral plates and panels for aerospace design." Thesis, University of Edinburgh, 2002. http://hdl.handle.net/1842/14136.

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This thesis presents new knowledge in the area of plate buckling, which has use in practical applications in the design of aircraft structures, such as wing or fuselage panels and thin-walled civil engineering structures. The focus of the research is on plates that are skew (parallelogram) in planform and the buckling strength gains that arise because of a stiffening effect caused by the acute angle of the plate and the fixity along the plate edges that continuity of adjacent skew plates imposes. A finite element code, ABAQUS, is adopted to compare the buckling strength of plates that are cont
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Anderson, Bret Dallas. "Automated all-quadrilateral mesh adaptation through refinement and coarsening /." Diss., CLICK HERE for online access, 2009. http://contentdm.lib.byu.edu/ETD/image/etd2948.pdf.

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Anderson, Bret D. "Automated All-Quadrilateral Mesh Adaptation through Refinement and Coarsening." BYU ScholarsArchive, 2009. https://scholarsarchive.byu.edu/etd/1735.

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This thesis presents a new approach to conformal all-quadrilateral mesh adaptation. In finite element modeling applications, it is often desirable to modify the node density of the mesh; increasing the density in some parts of the mesh to provide more accurate results, while decreasing the density in other parts to reduce computation time. The desired node density is typically determined by a sizing function based on either the geometry of the model or the results of a finite element solution. Although there are numerous mesh adaptation methods currently in use, including initial adaptive mesh
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Books on the topic "Quadrilateral"

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Urabe, Tohsuke. Dynkin Graphs and Quadrilateral Singularities. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/bfb0084369.

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Urabe, Tohsuke. Dynkin graphs and quadrilateral singularities. Springer-Verlag, 1993.

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Blaisdell, Molly. If you were a quadrilateral. Picture Window Books, 2010.

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Bercovier, Michel, and Tanya Matskewich. Smooth Bézier Surfaces over Unstructured Quadrilateral Meshes. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-63841-6.

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1947-, Gunter W. Stephen, ed. Wesley and the quadrilateral: Renewing the conversation. Abingdon Press, 1997.

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1936-, Wright J. Robert, and O'Gara Margaret 1947-, eds. Quadrilateral at one hundred: Essays on the centenary of the Chicago-Lambeth quadrilateral, 1886/88-1986/88. Foreward Movement, 1988.

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Dawes, Stephen. The primacy of scripture and the Methodist Quadrilateral. The Methodist Sacramental Fellowship, 1998.

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Lê, Thu Hường. Southeast Asian perceptions of the Quadrilateral Security Dialogue: Survey findings. Australian Strategic Policy Institute, 2018.

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Fellowship, Methodist Sacramental, ed. Whither Methodist theology now?: The collapse of the 'Wesleyan quadrilateral'. Methodist Sacramental Fellowship, 2010.

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Tomlinson, Jim. The iron quadrilateral: Political obstacles to economic reform under the Attlee government. Brunel University, Department of Economics, 1992.

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Book chapters on the topic "Quadrilateral"

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Whiteley, Jonathan. "Quadrilateral Elements." In Mathematical Engineering. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-49971-0_9.

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Wachspress, Eugene. "The Quadrilateral." In Rational Bases and Generalized Barycentrics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-21614-0_2.

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Goddijn, Aad, Martin Kindt, and Wolfgang Reuter. "A special quadrilateral." In Geometry with Applications and Proofs. SensePublishers, 2014. http://dx.doi.org/10.1007/978-94-6209-860-2_7.

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Dasgupta, Gautam. "Taig’s Quadrilateral Elements." In Finite Element Concepts. Springer New York, 2017. http://dx.doi.org/10.1007/978-1-4939-7423-8_5.

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Beccari, Carolina Vittoria, and Hartmut Prautzsch. "Quadrilateral Orbifold Splines." In Geometric Challenges in Isogeometric Analysis. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-92313-6_1.

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Jayaraj, Arjun, and Peter Gloviczki. "Quadrilateral Space Syndrome." In Thoracic Outlet Syndrome. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-55073-8_88.

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Kattan, Peter I. "The Bilinear Quadrilateral Element." In MATLAB Guide to Finite Elements. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-70698-4_13.

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Kattan, Peter I. "The Quadratic Quadrilateral Element." In MATLAB Guide to Finite Elements. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-70698-4_14.

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Richter-Gebert, Jürgen. "Quadrilateral Sets and Liftings." In Perspectives on Projective Geometry. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-17286-1_8.

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Liu, Li, CaiMing Zhang, and Frank Cheng. "Parameterization of Quadrilateral Meshes." In Computational Science – ICCS 2007. Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-72586-2_3.

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Conference papers on the topic "Quadrilateral"

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Jarrah, Ibrahim, and Rizwan-uddin. "Nodal Integral Methods in Curvilinear Coordinates Applied to Quadrilateral Elements." In Mathematics and Computation 2021. American Nuclear Society, 2021. https://doi.org/10.13182/xyz-33901.

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Liu, Jinsha, Yingfeng Zhao, and Jiangtao Ma. "A new approach to angle-preserving mapping for quadrilateral meshes." In International Conference on Advances in Computer Vision Research and Applications, edited by Zhonghong Ou and Hui Liu. SPIE, 2025. https://doi.org/10.1117/12.3068203.

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Daniels, Joel, Cláudio T. Silva, Jason Shepherd, and Elaine Cohen. "Quadrilateral mesh simplification." In ACM SIGGRAPH Asia 2008 papers. ACM Press, 2008. http://dx.doi.org/10.1145/1457515.1409101.

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Keaton, Jeffrey R., and Richard W. Gailing. "Monitoring Slope Deformation With Quadrilaterals for Pipeline Risk Management." In 2004 International Pipeline Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/ipc2004-0197.

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Ground displacements, strains, and tilts can be calculated by repeated measurements of the lengths of six chords and relative elevations of an array of four points, known as a quadrilateral. Quadrilateral measurements allow ground-surface deformation and strain to be calculated. Typically, soil-pipeline interaction results in pipeline strain being less than ground strain. Strain gauges traditionally have been used on pipelines in landslide areas to aid in managing pipeline risk. Quadrilaterals may be economical alternatives to placing strain gauges on existing pipelines in areas of active or p
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Suzuki, Hirotaka. "Skew quadrilateral membrane folding for lampshade design." In The 13th International Conference on Engineering and Computer Graphics BALTGRAF-13. Vilnius Gediminas Technical University, 2015. http://dx.doi.org/10.3846/baltgraf.2015.016.

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Historically, Japanese traditional lampstand 'Andon', was manufactured from paper. And paper folding method was adopted into some Andon or western lampshade design. For example, Yoshimura/Diamond pattern, known as a structure of crashed cylinder, or a structure of building roof, that has been of beneficial use in commercial lampshade products. Yoshimura pattern structure includes a set of skew quadrilaterals which are not on a plane surface and each quadrilateral is constructed with 2 planar triangles. Development of Yoshimura pattern is constructed by one set of horizontal parallel lines at e
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Hormann, Kai, and Marco Tarini. "A quadrilateral rendering primitive." In the ACM SIGGRAPH/EUROGRAPHICS conference. ACM Press, 2004. http://dx.doi.org/10.1145/1058129.1058131.

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Zhou, Hong, and Nitin M. Dhembare. "The Comparision of Hybrid and Quadrilateral Discretization Models for the Topology Optimization of Compliant Mechanisms." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-62329.

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The design domain of a synthesized compliant mechanism is discretized into quadrilateral design cells in both hybrid and quadrilateral discretization models. However, quadrilateral discretization model allows for point connection between two diagonal design cells. Hybrid discretization model completely eliminates point connection by subdividing each quadrilateral design cell into triangular analysis cells and connecting any two contiguous quadrilateral design cells using four triangular analysis cells. When point connection is detected and suppressed in quadrilateral discretization, the local
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Zhou, Hong, Venkata Krishna Perivilli, and Praveen Chilukuri. "Optimizing the Topologies of Compliant Mechanisms Using the Improved Modified Quadrilateral Discretization Model." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-86178.

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The improved modified quadrilateral discretization model for the topology optimization of compliant mechanisms is introduced in this paper. The design domain is discretized into quadrilateral design cells and each quadrilateral design cell is further subdivided into 16 triangular analysis cells. All kinds of dangling full and half quadrilateral design cells and sharp-corner triangular analysis cells are removed in the improved modified quadrilateral discretization model to enhance the material utilization. Every quadrilateral design cell or triangular analysis cell is either solid or void to i
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Mishiba, Kazu, Masaaki Ikehara, and Keiichiro Shirai. "Quadrilateral Remeshing with Global Alignment." In 2009 IEEE 13th Digital Signal Processing Workshop and 5th IEEE Signal Processing Education Workshop. IEEE, 2009. http://dx.doi.org/10.1109/dsp.2009.4785985.

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Peng, Chi-Han, Eugene Zhang, Yoshihiro Kobayashi, and Peter Wonka. "Connectivity editing for quadrilateral meshes." In the 2011 SIGGRAPH Asia Conference. ACM Press, 2011. http://dx.doi.org/10.1145/2024156.2024175.

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Reports on the topic "Quadrilateral"

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D'Azevedo, E. On Optimal Bilinear Quadrilateral Meshes. Office of Scientific and Technical Information (OSTI), 2000. http://dx.doi.org/10.2172/814808.

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Merrington, Louise. The India–US–China–Pakistan strategic quadrilateral. East Asian Bureau of Economic Research, 2012. http://dx.doi.org/10.59425/eabc.1334181602.

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Blacker, T., and M. Stephenson. Paving: A new approach to automated quadrilateral mesh generation. Office of Scientific and Technical Information (OSTI), 1990. http://dx.doi.org/10.2172/7184374.

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BROCK, J. S. INTEGRATING A BILINEAR INTERPOLATION FUNCTION ACROSS QUADRILATERAL CELL BOUNDARIES. Office of Scientific and Technical Information (OSTI), 2001. http://dx.doi.org/10.2172/772922.

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Wang, Wenyan, Yongjie Zhang, Guoliang Xu, and Thomas J. Hughes. Converting an Unstructured Quadrilateral/Hexahedral Mesh to a Rational T-spline. Defense Technical Information Center, 2011. http://dx.doi.org/10.21236/ada555343.

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Lober, R. R., T. J. Tautges, and C. T. Vaughan. Parallel paving: An algorithm for generating distributed, adaptive, all-quadrilateral meshes on parallel computers. Office of Scientific and Technical Information (OSTI), 1997. http://dx.doi.org/10.2172/469139.

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Manzini, Gianmarco, and Alessandro Russo. Monotonicity conditions in the nodal mimetic finite difference method for diffusion problems on quadrilateral meshes. Office of Scientific and Technical Information (OSTI), 2013. http://dx.doi.org/10.2172/1079553.

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Ghani, Ejaz, Arti Grover Goswami, and William Kerr. Highway to Success: The Impact of the Golden Quadrilateral Project for the Location and Performance of Indian Manufacturing. National Bureau of Economic Research, 2012. http://dx.doi.org/10.3386/w18524.

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Boni, Guilherme. UPDATE ON THE TYPES OF CLASSIFICATION OF COMPLEX ACETABULAR FRACTURES WITH INVOLVEMENT OF THE QUADRILATERAL LAMINA: SYSTEMATIC REVIEW. INPLASY - International Platform of Registered Systematic Review and Meta-analysis Protocols, 2024. http://dx.doi.org/10.37766/inplasy2024.10.0093.

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D`Azevedo, E. F. Are bilinear quadrilaterals better than linear triangles? Office of Scientific and Technical Information (OSTI), 1993. http://dx.doi.org/10.2172/10179134.

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