{"id":"W2039266190","doi":"10.1080/00029890.2005.11920166","title":"Figures of Constant Width on a Chessboard","year":2005,"lang":"en","type":"article","venue":"American Mathematical Monthly","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Diagonal; Row; Constant (computer programming); Mathematics; Combinatorics; Row and column spaces; Column (typography); Geometry; Computer science; Connection (principal bundle)","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":[0.0001523056,0.0001005567,0.0002158313,0.00008715739,0.0000382664,0.0000296766,0.0002970539,0.00001778238,0.00004471853],"category_scores_gemma":[0.0001270036,0.00008283483,0.00006587882,0.0003672248,0.0001392311,0.0001206838,0.00005615093,0.00006512882,0.0001190075],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002318128,"about_ca_system_score_gemma":0.00004221168,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004784239,"about_ca_topic_score_gemma":0.00000175235,"domain_scores_codex":[0.999034,0.00004035241,0.0002626933,0.0002018086,0.0003072416,0.0001539006],"domain_scores_gemma":[0.999103,0.0003253585,0.0001327233,0.0002970577,0.00006087939,0.00008099745],"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":[0.00001216648,0.0002651047,0.00001930323,0.00002056018,0.00001981461,0.000002983905,0.0004014138,0.00510508,0.0007010709,0.9203314,0.001627832,0.07149334],"study_design_scores_gemma":[0.0006267724,0.001064388,0.001906076,0.0001395317,0.00002243929,0.00001403701,0.0001081054,0.5130308,0.02186387,0.4485436,0.01220325,0.0004771743],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06539278,0.00008514197,0.7310885,0.003865298,0.00007090068,0.0002327553,0.000009070218,0.0001456574,0.1991099],"genre_scores_gemma":[0.813605,0.000002586932,0.1855239,0.000601819,0.00004847623,0.0000100847,0.000001577103,0.000004497871,0.0002020827],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7482122,"threshold_uncertainty_score":0.3377906,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01263860054389385,"score_gpt":0.2560438259496139,"score_spread":0.24340522540572,"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."}}