Milan journal of mathematics, 2010-12, Vol.78 (2), p.643-682
2010
Volltextzugriff (PDF)
Details
- Autor(en) / Beteiligte
- Titel
- Reflections on the Lemniscate of Bernoulli: The Forty-Eight Faces of a Mathematical Gem
- Ist Teil von
- Milan journal of mathematics, 2010-12, Vol.78 (2), p.643-682
- Ort / Verlag
- Basel: SP Birkhäuser Verlag Basel
- Erscheinungsjahr
- 2010
- Quelle
- SpringerLink
- Beschreibungen/Notizen
- Thirteen simple closed geodesics are found in the lemniscate. Among these are nine “mirrors”—geodesics of reflection symmetry—which generate the full octahedral group and determine a triangulation of the lemniscate as a disdyakis dodecahedron . New visualizations of the lemniscate are presented.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 1424-9286eISSN: 1424-9294DOI: 10.1007/s00032-010-0124-5Titel-ID: cdi_crossref_primary_10_1007_s00032_010_0124_5
- Format
- –
- Schlagworte
- Analysis, Mathematics, Mathematics and Statistics