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<p>Die Seite wurde neu angelegt: „ == Reference == B. Lynn Bodner: <a href="/index.php?title=A_Geometric_Analysis_of_the_Seven_Heavens" title="A Geometric Analysis of the Seven Heavens">A Geometric Analysis of the Seven Heavens</a>. In: <a href="/index.php?title=Bridges_2005" title="Bridges 2005">Bridges 2005</a>. Pages 285–292 == DOI == == Abstract == The artesona…“</p> <p><b>Neue Seite</b></p><div><br /> <br /> == Reference ==<br /> B. Lynn Bodner: [[A Geometric Analysis of the Seven Heavens]]. In: [[Bridges 2005]]. Pages 285–292 <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> The artesonado ceiling in the throne-room of the Alhambra is known as the Seven Heavens, since it appears to<br /> represent the path traveled by the soul, passing through the seven heavens of the cosmos until reaching at the peak<br /> the eighth heaven of the Muslim paradise. This paper will discuss and analyze the geometric structure of the ceiling<br /> and its eight different types of star polygon designs. Using only the geometer’s tools of straightedge and compass (or<br /> the electronic equivalent, the Geometer’s Sketchpad software), skeletal versions of the star polygon designs will be<br /> reconstructed and classified according to the symmetry elements permitted.<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> <br /> == Used References ==<br /> [1] O. Grabar. The Alhambra. Harvard University Press, 1978.<br /> <br /> [2] G. dePrangey. Impressions of Granada and the Alhambra. Garnet Publishing, 1996.<br /> <br /> [3] I. El-Said and A. Parman. Geometric Concepts in Islamic Art. Dale Seymour Publications, 1976.<br /> <br /> [4] B. L. Bodner. La Mezquita’s Geometric Window Grilles, presented at and abstract published in the<br /> Proceedings of the Art + Math = X conference, 2005.<br /> <br /> [5] B. L. Bodner. Unique Moroccan Designs: Reconstructed and Classified, presented at the<br /> Mathematical Association of America (MAA), New Jersey Section conference, 2005.<br /> <br /> [6] B. L. Bodner. Star Polygon Designs of La Alhambra’s Wooden Ceiling, presented at and abstract<br /> published in the Proceedings of the Bridges conference, 2004.<br /> <br /> [7] B. L. Bodner. An Unusual Nine-Pointed Star Polygon Design of La Alhambra, presented at and<br /> abstract published in the Proceedings of the ISAMA conference, 2004.<br /> <br /> [8] B. L. Bodner. Constructing and Classifying Designs of al-Andalus, presented at and abstract<br /> published in the Proceedings of the Joint ISAMA-Bridges conference, 2003.<br /> <br /> [9] B. L. Bodner. Mathematics of Islamic Art, 45-minute invited talk and 1-hour invited workshop at<br /> the Mathematical Association of America (MAA), New Jersey Section conference, 2002.<br /> <br /> [10] B. L. Bodner. Islamic Art, 2-hour Special Invited Session presented at the Mathematical<br /> Association of America (MAA) Mathfest conference, 2001.<br /> <br /> [11] The Geometer’s Sketchpad software (version 4), distributed by Key Curriculum Press, 2001.<br /> <br /> [12] J. B. Lopez and P. G. Andrew. Official Guide: The Alhambra and Generalife. Patronato de la<br /> Alhambra y Generalife, 1999.<br /> <br /> [13] S. J. Abas and A. S. Salman. Symmetries of Islamic Geometrical Patterns. World Scientific, 1998.<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2005/bridges2005-285.pdf<br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2005/bridges2005-285.html</div>

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