{"id":"W1977672446","doi":"10.1063/1.3677762","title":"Affine reflection groups for tiling applications: Knot theory and DNA","year":2012,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Euclidean geometry; Mathematics; Knot theory; Affine transformation; Knot (papermaking); Symmetry group; Lattice (music); Group theory; Combinatorics; Topology (electrical circuits); Pure mathematics; Physics; Geometry","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004668438,0.0005986976,0.0003415527,0.001036712,0.0007279755,0.001704977,0.0006130399,0.0009215161,0.005867925],"category_scores_gemma":[0.00119658,0.0001960289,0.0006362728,0.000802999,0.003120792,0.002762863,0.001288642,0.001500842,0.001007258],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005147969,"about_ca_system_score_gemma":0.0003340046,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002771037,"about_ca_topic_score_gemma":0.0002721468,"domain_scores_codex":[0.999733,0.00007206501,0.00001816448,0.00005004204,0.00008821172,0.00003859588],"domain_scores_gemma":[0.9995327,0.0001939489,0.00007987723,0.00008720098,0.00005190587,0.00005437853],"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":[0.000006979034,0.00001094892,0.00006778935,0.00004463832,0.000001932692,0.00006734698,0.0001891553,0.001932407,0.001703515,0.9868168,0.0003661667,0.008792294],"study_design_scores_gemma":[0.000005375894,0.00004482234,0.00009524474,0.00003019723,0.000002844817,0.0002278673,0.0001359043,0.008077976,0.002032104,0.9700019,0.01932889,0.0000167322],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1417195,0.01073013,0.7081026,0.003532238,0.001164127,0.0001101735,0.0001388485,0.000465077,0.1340373],"genre_scores_gemma":[0.7858004,0.006857007,0.1795468,0.0005536882,0.001046221,0.0001517475,0.0001297994,0.0001835365,0.02573078],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005867925,"threshold_uncertainty_score":0.01963019,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05899039654788081,"score_gpt":0.3563258310533945,"score_spread":0.2973354345055138,"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."}}