{"id":"W2294852551","doi":"","title":"Online Packing of Equilateral Triangles","year":2015,"lang":"en","type":"article","venue":"Canadian Conference on Computational Geometry","topic":"Optimization and Packing Problems","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Equilateral triangle; Competitive analysis; Online algorithm; Computer science; Sequence (biology); Packing problems; Unit (ring theory); Upper and lower bounds; Algorithm; Combinatorics; Mathematics; Geometry","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":[0.00009373517,0.00010041,0.000133753,0.0004107678,0.00002496188,0.0000370349,0.0001135833,0.00006068604,0.0002533832],"category_scores_gemma":[0.00003614447,0.000109597,0.00002843649,0.000338779,0.00003055485,0.00006692071,0.000007037651,0.00009979757,0.00004922162],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001054222,"about_ca_system_score_gemma":0.0003600147,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001049271,"about_ca_topic_score_gemma":0.003128967,"domain_scores_codex":[0.9993433,0.0000160594,0.0001903039,0.0001024428,0.0001682855,0.0001796023],"domain_scores_gemma":[0.999321,0.00004440529,0.0000311955,0.00008859241,0.0002052856,0.0003094515],"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":[0.000003579887,0.0000129224,0.0007057324,0.00001760302,0.00001993711,0.000004737317,0.0001573859,0.9772466,0.000009477647,0.01539536,0.002043363,0.004383304],"study_design_scores_gemma":[0.000792282,0.00009120587,0.005285889,0.0001023786,0.000008106756,0.000008524442,0.0002032344,0.9807888,0.00007553241,0.00708104,0.005267581,0.0002954125],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8083494,0.0004214954,0.07638551,0.001928696,0.002417353,0.0004653151,0.001053461,0.0004594173,0.1085194],"genre_scores_gemma":[0.9951204,0.000004534199,0.004204007,0.0002063357,0.00005462231,0.000001801706,0.0002514518,0.00001575554,0.0001410682],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1867711,"threshold_uncertainty_score":0.4469236,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07778953216714346,"score_gpt":0.2625919241301702,"score_spread":0.1848023919630268,"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."}}