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Escher's Complex Objects: A Demonstration of Simplicity [chapter]

B. Fischer, J. Thamm, L. Wegner, S. Wilke, C. Zirkelbach
1998 Visual Database Systems 4 (VDB4)  
ESCHER is a visual database editor for the object-relational data model. Here, we describe the essential features of ESCHER and what is demonstrated at this conference with our prototype.  ...  At the core of ESCHER's interaction paradigm is the notion of a finger. A finger is like a cursor and points to atomic or complex objects.  ...  A porting to a Tcl GUI is under way. The finger paradigm has also been incorporated into the ABAPlWorkbench complex object editor of SAP AG Rl3 as part of a university-industry cooperation.  ... 
doi:10.1007/978-0-387-35372-2_13 fatcat:oaqyumspsbf3xnudk3r7sb4q6u

Automatic object extraction and reconstruction in active video

Ye Lu, Ze-Nian Li
2008 Pattern Recognition  
Moreover, since an active video sequence naturally contains multiple views of the object of interest, we demonstrate that these views can be combined to form a single 3D object regardless of whether the  ...  A new method of video object extraction is proposed to automatically extract the object of interest from actively acquired videos.  ...  Acknowledgments This work was supported in part by the Natural Sciences and Engineering Research Council of Canada under the Grant RGP36726.  ... 
doi:10.1016/j.patcog.2007.07.015 fatcat:c6wb7jshv5aphax3akplij66iy

Loxodromic Spirals in M. C. Escher's Sphere Surface

James Marcotte, Matthew Salomone
2014 Journal of Humanistic Mathematics  
Escher's 1958 woodcut Sphere Surface is an image of black and white fish arranged along eight spiral paths on the surface of a sphere.  ...  By connecting the plane and spherical models of the complex numbers, we show that Sphere Surface is the conformal image on the sphere of a tessellation of fish on the plane, and that the spirals running  ...  demonstration).  ... 
doi:10.5642/jhummath.201402.04 fatcat:wvdp2zevdfcltjlbwfohqcjnhq

Hermia and the Dark Lady: From Perceived Others to Potential Erotic Objects

Cristina Diamant
2017 Linguaculture  
The present paper is focused on the figures of the Dark Lady of the sonnets and Hermia from A Midsummer Night"s Dream as modes of writing against the Petrarchian ideal.  ...  The ontological status of the Dark Lady and Hermia is also of interest, so that a linguistic and stylistic analysis is carried out in order to highlight how conflicting ideologies attempt to appropriate  ...  In his understanding of love, Shakespeare is demonstrably a minority.  ... 
doi:10.1515/lincu-2017-0020 fatcat:47cn3fc43rabjo2czllh3rfm64

A DIDACTIC ITINERARY THROUGH MATHEMATICS, SCIENCE AND ART ON ESCHER'S PERIODIC DRAWINGS

Simone Canciani
2020 Gamtamokslinis ugdymas  
In this analysis, a teaching experiment developed by the author in an Italian (Udine) high school of art is proposed.  ...  The discovery of mathematical laws, that derive from crystallography, behind Escher's drawings should persuade students that such an artistry is reachable only by means of mathematical knowledge.  ...  In spite of its simplicity, this idea can lead to remarkable artistic results, as you can see in Escher's Pegasus drawing ( Figure 12 ).  ... 
doi:10.48127/gu-nse/20.17.100 fatcat:l7yxbvaebngpvmai267nkpjzna

Drawing Hands. The Themes of Representation in Steinberg and Escher's Images

Edoardo Dotto
2017 Proceedings (MDPI)  
Steinberg, with a closer look is possible to trace strong affinities between some of their works and many of the themes they handled, such as the drawing of metamorphoses, the figure-background relationship  ...  In spite of a general mood difference between their respective graphic narrations, the work of the two authors appears to be based on the same kind of anxieties that have crossed the twentieth century,  ...  Escher's image is a lithography, a complex print obtained by elaborating wisely the density of the pencils on the lithographic stone.  ... 
doi:10.3390/proceedings1091090 fatcat:iin7ro6iorbdrp2tsjoouuf7xe

The Mathematical Structure of Escher's Print Gallery [chapter]

Bart De Smit, Hendrik W. Lenstra
2007 Mathematics and Culture IV  
Cordon Art holds the copyright to all of M. C. Escher's works. The project was supported by a Spinoza grant awarded by the Nederlandse Organisatie voor Wetenschappelijk Onderzoek (NWO).  ...  Acknowledgments The assistance of Joost Batenburg, Cordon Art, Bruno Ernst, Richard Groenewegen, Jacqueline Hofstra, and Hans Richter is gratefully acknowledged.  ...  A Complex Multiplicative Period Escher's procedure gives a very precise way of going back and forth between the straight world and the curved world.  ... 
doi:10.1007/978-3-540-34255-7_20 fatcat:d3v5vkckmja5pp26zs7gc2taqu

Symmetry as an Organizing Principle for Geometric Intelligence [article]

Snejana Sheghava, Ashok Goel
2020 arXiv   pre-print
The exploration of geometrical patterns stimulates imagination and encourages abstract reasoning which is a distinctive feature of human intelligence.  ...  We present a computational technique for building artificial intelligence (AI) agents that use symmetry as the organizing principle for addressing Dehaene's test of geometric intelligence .  ...  Escher's engagement in mathematical ideas through art brings diverse audiences towards a better understanding of the fundamental geometric rules governing complex shapes and transformations [Haak, 1976  ... 
arXiv:2004.07879v1 fatcat:ftrqfyiazrabxkakpmavg2ypaq

The Role of Symmetry in Geometric Intelligence

Snejana Shegeva, Ashok Goel
2021 Baltic Journal of Modern Computing  
The exploration of geometrical patterns stimulates the imagination and encourages abstract reasoning, which is a distinctive feature of human-level intelligence.  ...  Our work offers symmetry as a core principle for building AI agents capable of geometric intelligence and understanding Gestalt principles in human perception.  ...  Acknowledgement The authors thank the members of the Georgia Tech Design & Intelligence Laboratory, especially Keith McGreggor, Tesca Fitzgerald and Priyam Parashar, for many discussions and helpful suggestions  ... 
doi:10.22364/bjmc.2021.9.3.02 fatcat:i37vo3t6d5embc4p4oyv4xk7vu

Tiling design patterns---a case study using the interpreter pattern

David H. Lorenz
1997 Proceedings of the 12th ACM SIGPLAN conference on Object-oriented programming, systems, languages, and applications - OOPSLA '97  
This is a fundamental reflexive relationship in pattern relationships. The process of assembling patterns by other patterns is named pattern tiling.  ...  This paper explains how patterns can be used to describe the implementation of other patterns. It is demonstrated how certain design patterns can describe their own design.  ...  Acknowledgments I thank Harold Ossher, Yuval Sherman, Ricardo Szmit, and the anonymous referees for'thoughtful comments on drafts of this paper.  ... 
doi:10.1145/263698.263737 dblp:conf/oopsla/Lorenz97 fatcat:ra2ppgfzmngfhj5aahljzfjvmu

Geometries of Imaginary Space: Architectural Developments of the Ideas of M. C. Escher and Buckminster Fuller

Giovanni Ferrero, Celestina Cotti, Michela Rossi, Cecilia Tedeschi
2009 Nexus Network journal  
Escher and Buckminster Fuller are used as starting points for the exploration of the first applications of non-Euclidean geometry to architecture.  ...  The aim of this paper is to show how efficient mathematical models can be in simulating situations that are apparently distant from one another. The works of M. C.  ...  These are complex objects in n-dimensional space; they do not exist in the real world, but they can be mathematically described.  ... 
doi:10.1007/s00004-008-0090-1 fatcat:4mp5tln25jb7zlmimfxetzqbiq

Geometries of Imaginary Space: Architectural Developments of the Ideas of M. C. Escher and Buckminster Fuller [chapter]

Giovanni Ferrero, Celestina Cotti, Michela Rossi, Cecilia Tedeschi
2009 Nexus Network Journal  
Escher and Buckminster Fuller are used as starting points for the exploration of the first applications of non-Euclidean geometry to architecture.  ...  The aim of this paper is to show how efficient mathematical models can be in simulating situations that are apparently distant from one another. The works of M. C.  ...  These are complex objects in n-dimensional space; they do not exist in the real world, but they can be mathematically described.  ... 
doi:10.1007/978-3-7643-8976-5_11 fatcat:ek4srtx3irbu5przafrvo6shwm

Exploring the Effectiveness of Two Types of Virtual Reality Headsets for Teaching High School Mathematics

Yi Chen Hsu
2021 Eurasia Journal of Mathematics, Science and Technology Education  
This study examines the integration of virtual reality (VR) information technology in the teaching of systems of linear equations in three variables in a high school mathematics class.  ...  Before and after the experiment, participants were asked to complete a questionnaire, and post-experiment interviews were conducted with both students and teachers, both of which provided quantitative  ...  Declaration of interest: No conflict of interest is declared by author.  ... 
doi:10.29333/ejmste/10996 fatcat:2cusbv37bnbbtbmphwh5x3wd2m

The Potential of Biophilic Fractal Designs to Promote Health and Performance: A Review of Experiments and Applications

Richard P. Taylor
2021 Sustainability  
Fractal objects are prevalent in natural scenery. Their repetition of patterns at increasingly fine magnifications creates a rich complexity.  ...  These applications of fractal fluency represent a fundamental and potentially impactful form of salutogenesis.  ...  Conflicts of Interest: The author declares no conflict of interest.  ... 
doi:10.3390/su13020823 fatcat:vgwrjpa3h5e4hgbhaa7sgjsopi

International Journal Of Research And Methodology In Social Science

Paul Louangrath
2017 Zenodo  
and subjective goods, for fear of not knowing how to work on the complexity of objects that originate in what is virtual and intangible (Haroche, 2003) .  ...  Figure 1 records this subjective approach and its application to the stages of Escher's artistic production DISCUSSIONS ON THE ESCHER'S LAST PHASE In the last stage of Escher's work, Mathematics no  ... 
doi:10.5281/zenodo.1315324 fatcat:y2t5c7zrbve4xcbqm27vptwcge
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