{"id":"W4400197544","doi":"10.5070/c64163843","title":"An aperiodic monotile","year":2024,"lang":"en","type":"article","venue":"Combinatorial Theory","topic":"Advanced Materials and Mechanics","field":"Engineering","cited_by":36,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Trinity College, University of Cambridge","keywords":"Aperiodic graph; Computer science; Mathematics; Combinatorics","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":[0.0001694727,0.000100927,0.0001015938,0.00003485067,0.00003460254,0.00008103437,0.0001120295,0.0000653066,0.0002867753],"category_scores_gemma":[0.00001141193,0.0000960151,0.00003102416,0.00007220639,0.00001466505,0.0001645111,0.00001503395,0.00008786838,0.0001375082],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003439638,"about_ca_system_score_gemma":0.0000124587,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.065003e-7,"about_ca_topic_score_gemma":9.080793e-8,"domain_scores_codex":[0.9995425,0.00002267093,0.0000974516,0.0001213572,0.00006184257,0.0001541506],"domain_scores_gemma":[0.9996997,0.00003606368,0.000004455648,0.0001855476,0.000009543772,0.00006470931],"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":[0.000009702718,0.00001042569,1.787487e-7,0.00004744107,0.00001115228,0.00001361826,0.0001423811,0.0003832704,0.07213162,0.9145823,0.0003658275,0.01230208],"study_design_scores_gemma":[0.000159349,0.00005788559,0.000001389393,0.00002856307,0.00001190004,0.000003760395,0.00004190568,0.006150467,0.06218503,0.8487079,0.08248447,0.0001674298],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7220386,0.008010074,0.09904849,0.00002170597,0.1326671,0.0004466235,0.00005549172,0.006975276,0.03073669],"genre_scores_gemma":[0.9988534,0.00005898214,0.0001600165,0.00001266721,0.0007481439,0.0000171364,0.000007965121,0.00004611657,0.00009552392],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2768149,"threshold_uncertainty_score":0.3915382,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.004731811673399726,"score_gpt":0.2240037264373749,"score_spread":0.2192719147639752,"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."}}