Hyperbolic Geometry and Elliptic Geometry
Mathematical literature on hyperbolic geometry began in 1829 with publications by
Nikolai Lobachevsky in an obscure Russian journal. He made conjectures regarding triangles
with angles that when summed, were equal
The Riemann Sphere and Stereographic Projections
Introduction
In Inversive geometry, the idea of extending the plane is introduced. In this extended
plane lines can be inverted to circles and circles be inverted into lines. This concept is confusing
at fi
Bryant Rominger
February 8, 2016
MTH 338
Tevian Dray
Lab 2
Problem: To construct a full circle in the Klein Disk where two elliptic points are on the
boundary.
Figure 1
Circle C which lies in the Klein Disk is a complete circle which has two elliptic equa
Bryant Rominger
February 18, 2016
MTH 338
Tevian Dray
Project Proposal Elevator Geometry
Table of Contents
1)
2)
3)
4)
5)
Introduction
Exploration of Geometry
Problem 1
Problem 2
Findings and Conclusion
Introduction: In this section I will explain on how
Bryant Rominger
February 5, 2016
MTH 338
Tevian Dray
Paper Topic
I have chosen to write about elevator geometry. This is similar to taxi-cab geometry
except a third dimension is added in a limiting way. The elevators will only be connected on the
ground l
Oregon State University
Elevator Geometry
Bryant Rominger
Non-Euclidean Geometry
Tevian Dray
March 14th, 2016
Rominger 2
Introduction
Welcome to Basil City, where everything is symmetrical and our city has no end. Our
city is laid out on a grid where all
Bryant Rominger
February 1, 2016
MTH 338
Tevian Dray
Hyperbolic Congruent Triangles
Figure 1
All explanations hereafter will be referring to Figure 1. We began by placing three points, H, I,
and J, into a Poincar Disk Model. Points H and I, H and J, and I