We've updated our
Privacy Policy effective December 15. Please read our updated Privacy Policy and tap


Study Guides > Mathematics for the Liberal Arts

Topology, Tiling, and Non-Euclidean Geometry


Topology is a branch of mathematics studying spaces, in which “connectiveness” of objects is a main focus. Robert Bruner has written a more detailed description: "What is Topology?" For this course, we will determine whether two objects are topologically equivalent by comparing their genus, or number of holes. Please read and work through the lesson starting from page 1. Be sure to click the link at the bottom right hand corner of each page to get to the next page in the sequence (there are five pages in total). On the last page, you’ll find topics that can be used in the Application of Geometry Discussion Board. This is a link to a deformation, showing how a coffee mug can be transformed into a donut; thus they are topologically equivalent.


Please read through the following three pages for a mini-lesson on tiling:
  • What is a Tiling?
  • Tilings with Just a Few Shapes
  • Monomorphic and K-Morphic Tilings

Non-Euclidean Geometry

Our final topic is Non-Euclidean Geometry. This website will give you an introduction to the topic.

Licenses & Attributions

CC licensed content, Original

  • Mathematics for the Liberal Arts I. Provided by: Extended Learning Institute of Northern Virginia Community College Located at: https://online.nvcc.edu/. License: CC BY: Attribution.