{ "id": "1608.07993", "version": "v1", "published": "2016-08-29T10:57:17.000Z", "updated": "2016-08-29T10:57:17.000Z", "title": "Open problems on k-orbit polytopes", "authors": [ "Gabe Cunningham", "Daniel Pellicer" ], "categories": [ "math.CO" ], "abstract": "We present 35 open problems on combinatorial, geometric and algebraic aspects of k-orbit abstract polytopes. We also present a theory of rooted polytopes that has appeared implicitly in previous work but has not been formalized before.", "revisions": [ { "version": "v1", "updated": "2016-08-29T10:57:17.000Z" } ], "analyses": { "keywords": [ "open problems", "k-orbit polytopes", "k-orbit abstract polytopes", "algebraic aspects" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }