{"id":"W2052932497","doi":"10.1016/j.tcs.2005.08.025","title":"Enumeration of symmetry classes of convex polyominoes on the honeycomb lattice","year":2005,"lang":"en","type":"article","venue":"Theoretical Computer Science","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Polyomino; Convexity; Mathematics; Enumeration; Regular polygon; Lattice (music); Combinatorics; Reflection symmetry; Computation; Hexagonal crystal system; Symmetry (geometry); Perimeter; Geometry; Algorithm; 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":[0.0003396398,0.0005284242,0.001030755,0.001399031,0.001266254,0.00285596,0.001205054,0.001073359,0.008858426],"category_scores_gemma":[0.001920281,0.0005216965,0.000748623,0.001291363,0.00160048,0.002051445,0.001144886,0.001470913,0.0006450536],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007107175,"about_ca_system_score_gemma":0.0005119687,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009748413,"about_ca_topic_score_gemma":0.001647559,"domain_scores_codex":[0.9993619,0.0001555021,0.00004262447,0.0000818103,0.0002115582,0.0001465171],"domain_scores_gemma":[0.9986258,0.0005960027,0.0001854453,0.0002086251,0.0001919138,0.0001922558],"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":[0.0004595641,0.0002313098,0.004028459,0.0001740515,0.00005268157,0.0003816321,0.0003723918,0.0126383,0.009381758,0.9226915,0.007596076,0.0419923],"study_design_scores_gemma":[0.0001148284,0.00007308892,0.002408025,0.00004601127,0.00002122986,0.0004279756,0.0003840129,0.06383077,0.002998763,0.9248079,0.004853745,0.00003358708],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9166747,0.0002072257,0.0316661,0.0004791729,0.00009741028,0.00008421109,0.0006362782,0.0001154643,0.05003938],"genre_scores_gemma":[0.9698662,0.000222771,0.01971456,0.0001316877,0.00007454561,0.0001263899,0.001197142,0.0000854113,0.00858135],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008858426,"threshold_uncertainty_score":0.02963436,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02640340751472255,"score_gpt":0.3082170742286781,"score_spread":0.2818136667139555,"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."}}