# Identify the appropriate magnitude of K when building a Vietoris-Rips complex for Topological Data Analysis

I am writing some code to generate a Vietoris-Rips complex given a set of data points. The VR complex is generated from 0-complexes, 1-complexes, 2-complex, etc., where $k+1$ represents the number of points in the complex. I have seen VR complexes go up to about 2-complexes but not beyond that. I was wondering if there is any consensus on how high to set $k$. I am asking because it seems difficult to visualize complexes of dimension higher 2 since it is hard to represent higher complexes using the standard face and edge colorings of a network diagram.