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Finite or discrete collections of geometric objects. Packings, tilings, polyhedra, polytopes, intersection, arrangements, rigidity.

5 votes

Is an Eulerian lattice shellable?

I think that the answer to your question ought to be "not always". There are examples of non-shellable balls and spheres. A very readable account of these, together with some of the history, can b …
Russ Woodroofe's user avatar
1 vote

Presentation of the Rybnikov matroid

Since this is still open, I'll describe how to find an answer. You have a presentation of the matroid as an arrangement of hyperplanes. Now trace through the 'cryptomorphisms' described in the Wikip …
Russ Woodroofe's user avatar