Skip to main content

Topological density of nets: a direct calculation

Buy Article:

$43.00 plus tax (Refund Policy)

The topological density of a three-dimensional net is currently available after determining its entire coordination sequence. This paper shows that its value can be obtained directly from the set of cycles of the quotient graph of the net. A geometrical tool, the cycles figure of the net has been developed for this purpose. Its construction as a convex polyhedron with triangular faces is described as well as its use for topological density calculations. An exact expression is derived for three-dimensional nets and extended to arbitrary n-dimensional nets. Additionally, this paper describes applications to three-dimensional lattices and nets, n-dimensional diamonds and lonsdaleites.
No References
No Citations
No Supplementary Data
No Article Media
No Metrics

Keywords: nets; quotient graphs; topological density

Document Type: Research Article

Publication date: 2004-01-01

  • Access Key
  • Free content
  • Partial Free content
  • New content
  • Open access content
  • Partial Open access content
  • Subscribed content
  • Partial Subscribed content
  • Free trial content
Cookie Policy
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more