http://de.evo-art.org/index.php?action=history&feed=atom&title=The_quaternion_group_as_a_symmetry_group 2026-04-18T14:22:48Z Versionsgeschichte dieser Seite in de_evolutionary_art_org MediaWiki 1.27.4 http://de.evo-art.org/index.php?title=The_quaternion_group_as_a_symmetry_group&diff=3833&oldid=prev 2015-01-27T13:54:57Z

<p>Die Seite wurde neu angelegt: „ == Reference == Vi Hart and Henry Segerman: <a href="/index.php?title=The_quaternion_group_as_a_symmetry_group" title="The quaternion group as a symmetry group">The quaternion group as a symmetry group</a>. In: <a href="/index.php?title=Bridges_2014" title="Bridges 2014">Bridges 2014</a>. Pages 143–150 == DOI == == Abstract == W…“</p> <p><b>Neue Seite</b></p><div><br /> <br /> == Reference ==<br /> Vi Hart and Henry Segerman: [[The quaternion group as a symmetry group]]. In: [[Bridges 2014]]. Pages 143–150 <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> We briefly review the distinction between abstract groups and symmetry groups of objects, and discuss the question<br /> of which groups have appeared as the symmetry groups of physical objects. To our knowledge, the quaternion group<br /> (a beautiful group with eight elements) has not appeared in this fashion. We describe the quaternion group, both<br /> formally and intuitively, and give our strategy for representing the quaternion group as the symmetry group of a<br /> physical sculpture.<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> <br /> == Used References ==<br /> [1] John H. Conway, Heidi Burgiel, and Chaim Goodman-Strauss. The Symmetries of Things. A K Peters<br /> Ltd., 2008.<br /> <br /> [2] John H. Conway and Derek A. Smith. On Quaternions and Octonions: Their Geometry, Arithmetic, and<br /> Symmetry. A K Peters Ltd., 2003.<br /> <br /> [3] Gwen L. Fisher. The quaternions quilts. Focus: Newsletter of the MAA, 25(4):4, January 2005.<br /> <br /> [4] Branko Gr ̈unbaum. What symmetry groups are present in the Alhambra? Notices of the AMS, 53(6):670–<br /> 673, 2006.<br /> <br /> [5] Saul Schleimer and Henry Segerman. Sculptures in S3 . In Proceedings of Bridges 2012: Mathematics,<br /> Music, Art, Architecture, Culture, pages 103–110, Phoenix, Arizona, 2012. Tessellations Publishing.<br /> Available online at http://archive.bridgesmathart.org/2012/bridges2012-103.pdf.<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2014/bridges2014-143.pdf <br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2014/bridges2014-143.html</div>

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