| Description |
1 online resource (xviii, 959 pages) : illustrations (some color) |
| Series |
Advances in intelligent systems and computing, 2194-5357 ; volume 1296 |
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Advances in intelligent systems and computing ; 1296. 2194-5357
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| Contents |
Intro -- Editor's Preface to the Proceedings of the 19th International Conference on Geometry and Graphics -- Organization -- Program Committee -- Local Organizing Committee -- Organizing Staff -- Sponsor -- Support -- Contents -- Theoretical Graphics and Geometry -- String Constructions of Quadrics Revisited -- 1 Introduction -- 2 Confocal Central Quadrics -- 3 String Constructions of Central Quadrics -- 4 Paraboloids -- References -- Space Kinematics and Projective Differential Geometry over the Ring of Dual Numbers -- 1 Introduction -- 2 Preliminaries |
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2.1 Projective Geometry over Dual Numbers -- 2.2 Space Kinematics -- 2.3 Straight Lines -- 3 Osculating Lines -- 4 Osculating Conics -- 4.1 Bennett Motions -- 4.2 Motions Based on Osculating Circles of Elliptic Geometry -- 5 Conclusion -- References -- Examples of Isoptic Ruled Surfaces -- 1 Introduction -- 2 General Results, Elementary Surfaces -- 3 Helical and Spiral Developables -- 3.1 Helical Developables -- 3.2 Spiral Developables -- 4 Algebraic Isoptic Ruled Surfaces -- 4.1 Some Special Polynomial Curves -- 5 Conclusion, Future Work -- References -- A One-Parameter Family of Triangle Cubics |
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1 Introduction -- 2 Prerequsites -- 3 Some Properties of the Cubics -- 4 Cubics Determined by Triangle Centers -- 5 How to Find Triangle Centers on Such Curves? -- 6 Future Work -- References -- Vermeer's Specific Ratio -- Abstract -- 1 Introduction -- 2 Analysis of "Milk Maid" -- 2.1 "Milk Maid" Plan View and Projection Drawing -- 2.2 "Milk Maid" Scene and View Angle -- 2.3 "Milk Maid" Canvas Angles and Depicted Models -- 3 Camera Obscura and Frame Composition -- 3.1 Light Form and Floor Depiction -- 3.2 Appearance of the Floor -- 3.3 Definition of Euclid -- 4 Considerations -- 5 Conclusions |
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2.2 Whole Compound 3-Models of the 3-, 6- and 9-Cube -- 3 Fractals and Fractal-Like Structures -- 4 Planar Patterns -- 5 Concluding Remarks -- References -- Geometry and Proportion: Materialization of an Architectural Carpentry Project -- Abstract -- 1 Introduction -- 2 The Treatises -- 3 The Geometry of the carpintería de lazo -- 4 Formal Solutions -- 5 Future Developments: Digital Computational Design Tools -- 6 Conclusions -- References -- Factorization of Locus Polynomials Using DGS -- 1 Introduction -- 2 Example by Holfeld -- 2.1 Locus Equation -- 2.2 Decomposition |
| Summary |
This book covers various aspects of Geometry and Graphics, from recent achievements on theoretical researches to a wide range of innovative applications, as well as new teaching methodologies and experiences, and reinterpretations and findings about the masterpieces of the past. It is from the 19th International Conference on Geometry and Graphics, which was held in São Paulo, Brazil. The conference started in 1978 and is promoted by the International Society for Geometry and Graphics, which aims to foster international collaboration and stimulate the scientific research and teaching methodology in the fields of Geometry and Graphics. Organized five topics, which are Theoretical Graphics and Geometry; Applied Geometry and Graphics; Engineering Computer Graphics; Graphics Education and Geometry; Graphics in History, the book is intended for the professionals, academics and researchers in architecture, engineering, industrial design, mathematics and arts involved in the multidisciplinary field |
| Notes |
Includes author index |
| Bibliography |
References-Perspective and Illusion in Four-Dimension: Droste-Effect in Four-Dimension Based on Escher's Work-Abstract-1 Introduction-1.1 Droste-Effect-1.2 Escher's Work-1.3 Inference-2 Method to Create Four-Dimensional Escher Grid-2.1 The Relationship Between Nesting, Perspective and Dimension-2.2 Generation Process of Four-Dimensional Escher Grid-References-Hidden Structures in Tessellations of Convex Uniform Honeycombs-Abstract-1 Introduction-2 Compound Models-2.1 Compound Models of the Considered Platonic and Archimedean Solids |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed February 16, 2021) |
| In |
Springer Nature eBook |
| Subject |
Geometry -- Congresses
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Engineering graphics -- Congresses
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Geometry
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Engineering graphics
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Computational intelligence
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Engineering mathematics
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| Genre/Form |
proceedings (reports)
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Conference papers and proceedings
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Conference papers and proceedings.
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Actes de congrès.
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| Form |
Electronic book
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| Author |
Cheng, Liang Yee, editor
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| ISBN |
9783030634032 |
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3030634035 |
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