English

CurvedLand: An Applet for Illustrating Curved Geometry without Embedding

Popular Physics 2010-10-08 v1 History and Overview

Abstract

We have written a Java applet to illustrate the meaning of curved geometry. The applet provides a mapping interface similar to MapQuest or Google Maps; features include the ability to navigate through a space and place permanent point objects and/or shapes at arbitrary positions. The underlying two-dimensional space has a constant, positive curvature, which causes the apparent paths and shapes of the objects in the map to appear distorted in ways that change as you view them from different relative angles and distances.

Cite

@article{arxiv.1010.1426,
  title  = {CurvedLand: An Applet for Illustrating Curved Geometry without Embedding},
  author = {Gary Felder and Stephanie Erickson},
  journal= {arXiv preprint arXiv:1010.1426},
  year   = {2010}
}

Comments

4 pages

R2 v1 2026-06-21T16:25:12.984Z