{"id":"W7217664","doi":"10.4169/math.mag.85.5.343","title":"From Polygons to String Theory","year":2012,"lang":"en","type":"article","venue":"Mathematics Magazine","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"Bard College; Harvey Mudd College; National Science Foundation","keywords":"Polytope; Mathematics; Reflexivity; Fano plane; Duality (order theory); Mirror symmetry; String (physics); Combinatorics; Connection (principal bundle); Pure mathematics; Algebra over a field; Theoretical physics; Geometry; Physics; Mathematical physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003280559,0.0003470998,0.0003763002,0.001082525,0.001311144,0.002656811,0.000535753,0.0006952016,0.01260236],"category_scores_gemma":[0.000968052,0.0002123625,0.0004154654,0.0008295912,0.003214236,0.005280177,0.001536785,0.001834998,0.001518692],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009836977,"about_ca_system_score_gemma":0.0003242843,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009749913,"about_ca_topic_score_gemma":0.0006540293,"domain_scores_codex":[0.9996223,0.000123047,0.00001574796,0.00006389082,0.0001227176,0.00005216905],"domain_scores_gemma":[0.9996936,0.0001066446,0.00002971099,0.00007716888,0.00005461864,0.00003831549],"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":[0.000004450702,0.000003245028,0.00005821572,0.00001959338,0.000001189929,0.00004596656,0.00009211281,0.0003992068,0.0001108618,0.992894,0.002657428,0.003713855],"study_design_scores_gemma":[0.000001717462,0.000003411003,0.00006824746,0.00001725803,0.000001114081,0.00005749458,0.00007395493,0.001095203,0.0000915026,0.9801766,0.01841054,0.000002960991],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.08513392,0.01467049,0.1140129,0.01468639,0.001773858,0.0000441981,0.0007015085,0.0006096271,0.7683671],"genre_scores_gemma":[0.8816468,0.009067852,0.02732956,0.002146211,0.001357869,0.00008831908,0.0006082752,0.0002606174,0.07749444],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01260236,"threshold_uncertainty_score":0.04215908,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04765814578117171,"score_gpt":0.3322840173334154,"score_spread":0.2846258715522437,"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."}}