{"paper":{"title":"On hyperbolic cobweb manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GN"],"primary_cat":"math.MG","authors_text":"Emil Moln\\'ar, Jen\\H{o} Szirmai","submitted_at":"2017-01-24T07:46:17Z","abstract_excerpt":"A compact hyperbolic \"cobweb\" manifold (hyperbolic space form) of symbol $Cw(6,6,6)$ will be constructed in Fig.1,4,5 as a representant of a presumably infinite series $Cw(2p,2p,2p)$ $(3 \\le p \\in \\bN$ natural numbers). This is a by-product of our investigations \\cite{MSz16}. In that work dense ball packings and coverings of hyperbolic space $\\HYP$ have been constructed on the base of complete hyperbolic Coxeter orthoschemes $\\mathcal{O}=W_{uvw}$ and its extended reflection groups $\\bG$ (see diagram in Fig.~3. and picture of fundamental domain in Fig.~2). Now $u=v=w=6 (=2p)$. Thus the maximal "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.06757","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}