{"paper":{"title":"Non-periodic geodesic ball packings to infinite regular prism tilings in $\\SLR$ space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"Jen\\\"o Szirmai","submitted_at":"2014-03-13T08:19:28Z","abstract_excerpt":"In \\cite{Sz13-1} we defined and described the {\\it regular infinite or bounded} $p$-gonal prism tilings in $\\SLR$ space. We proved that there exist infinitely many regular infinite $p$-gonal face-to-face prism tilings $\\cT^i_p(q)$ and infinitely many regular bounded $p$-gonal non-face-to-face prism tilings $\\cT_p(q)$ for integer parameters $p,q;~3 \\le p$, $ \\frac{2p}{p-2} < q$. Moreover, in \\cite{MSz14} and \\cite{MSzV13} we have determined the symmetry group of $\\cT_p(q)$ via its index 2 rotational subgroup, denoted by $\\mathbf{pq2_1}$ and investigated the corresponding geodesic and translatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.3192","kind":"arxiv","version":1},"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"}