Our next lecture dives into some basic ideas about how to digitally encode geometry using a “mesh,” or more specifically a *simplicial complex*:

## 3 thoughts on “Slides — The Simplicial Complex”

## Leave a Reply

You must be logged in to post a comment.

Skip to content
# Slides — The Simplicial Complex

##
3 thoughts on “Slides — The Simplicial Complex”

## Leave a Reply

CS 15-458/858B: Discrete Differential Geometry

CARNEGIE MELLON UNIVERSITY | FALL 2017 | TUE/THU 12:00-1:20 | GHC 4303

You must be logged in to post a comment.

Is it possible to have a non-orientable simplicial complex? We know that there are non-orientable manifolds (e.g. Möbius strip) in the classical setting, where orientability is defined in terms of, for example, existence of differentiable Gauss map for manifolds in $\mathbb{R}^3$, or, more generally, existence of oriented atlas. I wonder if there are analogous definitions in the discrete setting.

Terrific question. What do you think: is it possible to triangulate a Möbius strip? If so, can you describe this triangulation as a simplicial complex? And if you can do that, can you give an orientation to each element of this complex?