{"id":"W4414520187","doi":"10.46298/dmtcs.13421","title":"The Fagnano Triangle Patrolling Problem","year":2025,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Robotic Path Planning Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Patrolling; Trajectory; Property (philosophy); Optimization problem; Inscribed figure; Dynamical billiards; Artifact (error)","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0004264159,0.0008245913,0.0008708552,0.0004069093,0.0007832763,0.0009764782,0.001147064,0.001319194,0.006092083],"category_scores_gemma":[0.002027989,0.0003808806,0.0008294861,0.0006664441,0.0009732437,0.001615009,0.0008611808,0.001115525,0.0004964917],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001128118,"about_ca_system_score_gemma":0.0008749836,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003938014,"about_ca_topic_score_gemma":0.003221649,"domain_scores_codex":[0.9995209,0.0001300521,0.00001963876,0.0001315322,0.00008322542,0.0001146949],"domain_scores_gemma":[0.9994059,0.0003126363,0.00008759571,0.00006673025,0.00004450686,0.00008267691],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0002655148,0.0001556097,0.001682459,0.0002134713,0.00005979045,0.0003977652,0.0002582478,0.7872526,0.003876279,0.1553661,0.006698877,0.0437732],"study_design_scores_gemma":[0.0000493354,0.0001419793,0.0005046701,0.00002663929,0.00002080199,0.000172569,0.0001366304,0.8947951,0.001280053,0.09542447,0.007429424,0.00001834375],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2751073,0.0009497385,0.6814221,0.001800423,0.000209016,0.0003088957,0.0007894858,0.0004624099,0.03895056],"genre_scores_gemma":[0.7882919,0.0007072857,0.1942338,0.000229676,0.00007830835,0.000299504,0.0008316439,0.000206914,0.01512093],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006092083,"threshold_uncertainty_score":0.02038002,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01150327423914934,"score_gpt":0.2645188535859136,"score_spread":0.2530155793467643,"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."}}