Tutorial

Simplicial topology is quite an arcane subject, so if you’ve got this far in reading about simplicial we’ll assume you’ve got a good reason and understand at least the basics of the maths involved. This tutorial will concentrate on using simplicial to create and manipulate simplicial complexes, and on what can be done to analyse them. We will only present the basic operations, and simplicial provides a lot more: see the API reference for all the details.

• Building a complex
  • Adding simplices
  • Deleting simplices
• Simplex attributes
  • Setting attributes when adding a simplex
  • Changing and accessing attributes
• Navigating and querying a complex
  • Order
  • Retrieving simplices
  • Finding simplices
  • Traversing the simplex hierarchy
• Constructing a complex from other complexes
  • Simplices
  • Skeletons and voids
  • Connecting complexes together
• Analysing a complex
  • Euler characteristics
  • Homology and Betti numbers
• Filtrations
  • Building the filtration from complexes
  • Building the filtration from simplices
  • Accessing the filtration as a complex
  • Accessing the filtration as a sequence of complexes