Distance metaphors are natural in any conversation about social phenomena. We talk of the distance between governance systems and the governed, guerrilla movements and host populations, rich and poor, Chinese and American, Red and Blue.

Kevin Simler’s recent guest post made use of the standard geometric-metaphoric scheme, the Hofstede cultural dimensions model, to talk about startup cultures. The model also forms the basis for the analysis of globalization in Pankaj Ghemawat’s *World 3.0*, which I reviewed last year. So distance metaphors are very robust across a wide range of social phenomena, from small startups to the entire planet.

Topology — the study of the pre-geometric structure of a space, such as whether it is orientable or not, doughnut shaped or spherical, and so forth — is not as natural or easy to apply, but is also useful if you can pull it off, as Drew Austin’s recent post on the Holey Plane demonstrated.

When you do topology and geometry for social systems incoherently, you get frustrating books like Friedman’s *World is Flat*.

But more careful approaches aren’t safe either. In particular, the more I think about Hofstede’s model, the more dissatisfied I get. Is there a better way? I’ve been playing around with a few very preliminary ideas that I thought I’d share, prematurely.