{"id":"W2951277017","doi":"10.1088/1751-8113/41/49/495202","title":"The rings of<i>n</i>-dimensional polytopes","year":2008,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Quasicrystal Structures and Properties","field":"Materials Science","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Coxeter group; Polytope; Euclidean geometry; Congruence (geometry); Group (periodic table); Orbit (dynamics); Coxeter complex","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003924737,0.00008324805,0.0002385002,0.000009323207,0.0001560015,0.00002693444,0.0001573725,0.00002984677,0.0001547214],"category_scores_gemma":[0.0001383966,0.00003716936,0.00009330177,0.00004006861,0.001420533,0.00007318466,0.00007668317,0.0001194369,0.000007286963],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000004429868,"about_ca_system_score_gemma":0.00002970689,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.350196e-7,"about_ca_topic_score_gemma":3.525146e-8,"domain_scores_codex":[0.9990599,0.00005344401,0.0003548714,0.00006255226,0.0003313785,0.0001378398],"domain_scores_gemma":[0.9991253,0.0004324967,0.0001578543,0.00009216283,0.0001084622,0.00008372687],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00009088399,0.00004427499,0.00001609089,0.00002329451,0.00001097935,0.000008041697,0.0002640272,0.000003843374,0.0611421,0.937631,0.00007520773,0.0006902787],"study_design_scores_gemma":[0.0001689835,0.0001784225,0.00008119769,0.00004886977,0.00001827198,0.0004312506,0.00004111402,0.0002098011,0.1172938,0.8812724,0.0002018275,0.00005402941],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9976722,0.0003533293,0.0007864267,0.000502894,0.00007335489,0.00003566048,0.000002454383,0.000003544849,0.000570164],"genre_scores_gemma":[0.9978409,0.00004134532,0.001888793,0.00005202742,0.0001421431,5.488773e-7,5.590324e-8,0.000006080951,0.0000281155],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0563586,"threshold_uncertainty_score":0.5234012,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008817380786994532,"score_gpt":0.2073885860267223,"score_spread":0.1985712052397277,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}