Barycentric Coordinates on the Hyperbolic Plane

Harmer, Mark

dc.contributor.author	Harmer, Mark	en
dc.date.accessioned	2009-08-28T03:22:51Z	en
dc.date.available	2009-08-28T03:22:51Z	en
dc.date.issued	2003-06	en
dc.identifier.citation	Department of Mathematics - Research Reports-498 (2003)	en
dc.identifier.issn	1173-0889	en
dc.identifier.uri	http://hdl.handle.net/2292/5128	en
dc.description.abstract	We describe a `natural' set of coordinates for fundamental domains in the hyperbolic plane in the case when the fundamental domain is triangular. The metric, the measure and the Laplace-Beltrami operator are calculated in this new coordinate system. As a byproduct we give a hyperbolic analogue of the Euclidean expression of the area of a triangle in terms of its base and height.	en
dc.publisher	Department of Mathematics, The University of Auckland, New Zealand	en
dc.relation.ispartofseries	Research Reports - Department of Mathematics	en
dc.rights.uri	https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm	en
dc.source.uri	http://www.math.auckland.ac.nz/Research/Reports/view.php?id=498	en
dc.title	Barycentric Coordinates on the Hyperbolic Plane	en
dc.type	Technical Report	en
dc.subject.marsden	Fields of Research::230000 Mathematical Sciences::230100 Mathematics	en
dc.rights.holder	The author(s)	en