Embeddings of Graphs in a Torus and in a Moebius Strip

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

This Demonstration illustrates the fact that any graph of genus 1 can be embedded in a torus and any graph of non-orientable genus 1 can be embedded in a Möbius strip. All the graphs in this Demonstration can be embedded in both surfaces. To move the graph vertices, drag the colored points on the planar diagram. The path connecting the points is chosen based on the distance between the points.

Contributed by: Maxim Rytin (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

detailSectionParagraph


Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send