{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00009957798,0.0006952,0.0005111432,0.0005209369,0.0006553952,0.001209586,0.0007337281,0.0006563938,0.08226626],"category_scores_gemma":[0.001188743,0.000423014,0.0002855686,0.0008380277,0.0005554876,0.0008061688,0.001060857,0.0006158868,0.01176822],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004725939,"about_ca_system_score_gemma":0.0003437731,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003303942,"about_ca_topic_score_gemma":0.004847714,"domain_scores_codex":[0.9997297,0.0000279397,0.00001363653,0.00007256068,0.0001031929,0.00005295077],"domain_scores_gemma":[0.9996823,0.00005515396,0.00002313312,0.00008839664,0.00009455995,0.00005656247],"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":[0.001602971,0.0002833213,0.002179601,0.0006271029,0.00008639436,0.001340152,0.0006076641,0.08917867,0.07346899,0.3604233,0.1899223,0.2802795],"study_design_scores_gemma":[0.0004457596,0.0004706912,0.00440291,0.0001813009,0.00006471773,0.00109421,0.0005563808,0.1281268,0.02706968,0.1300827,0.7074196,0.00008516596],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1222626,0.001308995,0.3604433,0.001019667,0.001448067,0.0004722343,0.005964697,0.004464481,0.5026159],"genre_scores_gemma":[0.5614298,0.0008713789,0.2034169,0.0002688353,0.0001638006,0.0002747377,0.006078317,0.0009312996,0.226565],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.08226626,"threshold_uncertainty_score":0.2752081,"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."}}