منابع مشابه
Tessellating the Hyperbolic Plane
The main goal of this paper will be to determine which hyperbolic polygons can be used to tessellate the hyperbolic plane. Sections 1-4 will be devoted to providing the context of the hyperbolic plane and developing the basic tools needed to prove the key theorems of this paper. In these sections I will cover two common models of the plane and the isometries of these spaces. Section 4 will be a...
متن کاملNoise Pollution and Traffic Noise Index on Mashhad Main Streets during the Busiest Hours of Summer
Introduction: Among the environmental pollutions, noise is very important for its physiological and psychological effects on human. Traffic noise is one of the most important pollutants and the hospitals are one of the critical places regarding this type of noise. For these reasons, in the summer of 1382, the traffic noise of Mashhad main streets around the hospit...
متن کاملMass in the Hyperbolic Plane∗
Archimedes computed the center of mass of several regions and bodies [Dijksterhuis], and this fundamental physical notion may very well be due to him. He based his investigations of this concept on the notion of moment as it is used in his Law of the Lever. A hyperbolic version of this law was formulated in the nineteenth century leading to the notion of a hyperbolic center of mass of two point...
متن کاملIsometries of the Hyperbolic Plane
In this paper, I will explore basic properties of the group PSL(2,R). These include the relationship between isometries of H2, Möbius transformations, and matrix multiplication. In addition, this paper will explain a method of characterizing the aforementioned transformations by the trace of their matrices through looking at the number of xed points of a transformation.
متن کاملIsometries of the Hyperbolic Plane
In this paper I will define the hyperbolic plane and describe and classify its isometries. I will conclude by showing how these isometries can be represented as 2× 2 matrices.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annals of Physics
سال: 2010
ISSN: 0003-4916
DOI: 10.1016/j.aop.2009.12.007