{"id":"W2028474908","doi":"10.1007/s00454-003-2777-0","title":"An isosceles triangle that tiles the sphere in exactly three ways","year":2003,"lang":"en","type":"article","venue":"Discrete & Computational Geometry","topic":"Quasicrystal Structures and Properties","field":"Materials Science","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"Saint Mary's University; St. Mary's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Isosceles triangle; Combinatorics; Mathematics; Enhanced Data Rates for GSM Evolution; Spherical trigonometry; Equilateral triangle; Triangle inequality; Geometry; Computer science","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":[0.0001374106,0.0003088903,0.0003702743,0.0003635281,0.0007604155,0.0009862736,0.0005876306,0.0008495043,0.01187708],"category_scores_gemma":[0.0006194637,0.0002622768,0.0003718075,0.0003545969,0.0009888734,0.0008836383,0.001119666,0.0008045305,0.002091586],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002879759,"about_ca_system_score_gemma":0.0004123018,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001315175,"about_ca_topic_score_gemma":0.001594844,"domain_scores_codex":[0.9997447,0.00004001742,0.00001049541,0.0000679457,0.00008191214,0.00005501142],"domain_scores_gemma":[0.9997591,0.00004207988,0.00002144134,0.00008925719,0.0000392298,0.00004891077],"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":[0.0003352727,0.00005085548,0.0006785831,0.0001453121,0.00001899789,0.0006037178,0.0004807584,0.01224351,0.0463965,0.8768791,0.008460351,0.0537071],"study_design_scores_gemma":[0.0002374779,0.0003107688,0.001428076,0.00007570108,0.00003455722,0.00182489,0.001084821,0.1025165,0.03908476,0.7257193,0.1275952,0.00008792734],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3478115,0.0003892021,0.3524298,0.001200874,0.001306076,0.0001200557,0.0006990264,0.001305649,0.294738],"genre_scores_gemma":[0.8701811,0.0001957276,0.09148525,0.0002402715,0.00007964466,0.0000820972,0.0004719096,0.0002901054,0.03697382],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01187708,"threshold_uncertainty_score":0.03973281,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02876803186533632,"score_gpt":0.2520832472237269,"score_spread":0.2233152153583906,"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."}}