{"id":"W2113016580","doi":"10.1112/s1461157014000400","title":"Computing symmetry groups of polyhedra","year":2014,"lang":"en","type":"article","venue":"LMS Journal of Computation and Mathematics","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":39,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of New Brunswick","funders":"Ministry of Education, India; Hausdorff Research Institute for Mathematics; Mathematisches Forschungsinstitut Oberwolfach; University of Cambridge; Alexander von Humboldt-Stiftung","keywords":"Polyhedron; Mathematics; Integer points in convex polyhedra; Symmetry group; Computation; Symmetry (geometry); Automorphism group; Homogeneous space; Linear programming; Polyhedral combinatorics; Group (periodic table); Integer programming; Combinatorics; Tetrahedral symmetry; Discrete mathematics; Automorphism; Algorithm; Regular polygon; Rotational symmetry; Geometry; Branch and price; Convex set","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":[0.001059213,0.00007952036,0.0002529647,0.0002299038,0.00005667187,0.00005610191,0.00033239,0.00002963206,0.000001910806],"category_scores_gemma":[0.0001960687,0.00006469521,0.0000610869,0.0002715642,0.00006977742,0.0002651717,0.0001123615,0.0001395228,0.000001801132],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000009028795,"about_ca_system_score_gemma":0.0000234589,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":3.075058e-7,"about_ca_topic_score_gemma":1.051497e-7,"domain_scores_codex":[0.9988499,0.0000918517,0.0005056541,0.00008066645,0.0003479076,0.0001239935],"domain_scores_gemma":[0.998282,0.0006589571,0.0005638819,0.000129402,0.000278413,0.00008738412],"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":[0.000007604665,0.0001185016,0.0001891512,0.0001915064,0.00003388195,0.000004611278,0.002293608,0.00277757,0.001423191,0.9002895,0.00006518604,0.0926057],"study_design_scores_gemma":[0.0004996715,0.0002357433,0.0004737873,0.0001382679,0.000008579921,0.0002543514,0.0001868496,0.4319532,0.00133075,0.5647659,0.00006884064,0.00008412177],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1526691,0.00009412313,0.8464343,0.0001292549,0.000103534,0.00004057959,1.912676e-7,0.00001265261,0.0005162365],"genre_scores_gemma":[0.6271555,0.000008669594,0.3727601,0.0000365863,0.00002708941,7.718332e-8,1.065813e-7,0.000004158466,0.000007638826],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.4744864,"threshold_uncertainty_score":0.2638194,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01821865012316153,"score_gpt":0.3046875970628987,"score_spread":0.2864689469397371,"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."}}