{"id":"W2063175732","doi":"10.1016/j.comgeo.2007.02.004","title":"Rotationally monotone polygons","year":2007,"lang":"en","type":"article","venue":"Computational Geometry","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"","keywords":"Monotone polygon; Polygon (computer graphics); Combinatorics; Regular polygon; Mathematics; Rotation (mathematics); Monotonic function; Polygon covering; Vertex (graph theory); Boundary (topology); Simple polygon; Plane (geometry); Geometry; Point (geometry); Rectilinear polygon; Mathematical analysis; Computer science","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":[0.0008683627,0.0001946656,0.0001670961,0.0007950535,0.0002963311,0.0001778465,0.0006099464,0.00008307726,0.00008219477],"category_scores_gemma":[0.0001458517,0.0002123554,0.0001110237,0.002081152,0.00005221005,0.0006723824,0.0001828156,0.0001705555,0.0003619019],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009516677,"about_ca_system_score_gemma":0.000204305,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006736874,"about_ca_topic_score_gemma":0.000003927959,"domain_scores_codex":[0.9978182,0.00004319659,0.0004773268,0.0004886402,0.0007863008,0.0003863691],"domain_scores_gemma":[0.9982096,0.0006923954,0.0001511166,0.0002906482,0.0004420219,0.0002142267],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001915775,0.000193049,0.001405997,0.00001147185,0.00005223425,0.00003143528,0.0001907603,0.2047751,0.0006427174,0.7051175,0.002580367,0.08498021],"study_design_scores_gemma":[0.00128227,0.0001731381,0.3661807,0.00002245295,0.00001470845,0.0002159554,0.0000508183,0.3698164,0.002261264,0.2395334,0.01965203,0.0007968915],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0641064,0.0002672091,0.9291301,0.0009816298,0.0006301763,0.0001754821,0.000006682971,0.0002641956,0.004438114],"genre_scores_gemma":[0.7511714,0.000002943356,0.2467815,0.001112876,0.0002498317,0.000008797882,0.0001018524,0.00001094777,0.0005599022],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6870649,"threshold_uncertainty_score":0.8659603,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01114749808029244,"score_gpt":0.2599381773873148,"score_spread":0.2487906793070223,"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."}}