| |
|
Jenö Szirmai
Bisector surfaces and circumscribed spheres of tetrahedra derived
by translation curves in Sol geometry
view print
|
|
| Published: |
January 5, 2019. |
| Keywords: |
Thurston geometries, Sol geometry, translation-like bisector surface. |
| Subject: |
53A20, 53A35, 52C35, 53B20. |
|
|
Abstract
In the present paper we study the Sol geometry, which is one of the
eight homogeneous Thurston 3-geometries. We determine the equation of the translation-like bisector surface of any two points. We prove that the isosceles property of a translation triangle is not equivalent to two angles of the triangle being equal, and that the triangle inequalities do not remain valid for translation triangles in general. |
|
| Acknowledgements
N/A
|
|
| Author information
Jenö Szirmai:
Budapest University of Technology and Economics
Institute of Mathematics, Department of Geometry
Budapest, P. O. Box: 91, H-1521, Hungary
szirmai@math.bme.hu
|
|
