{"id":"W2105335308","doi":"10.37236/1074","title":"Tilings of the Sphere with Right Triangles I: The Asymptotically Right Families","year":2006,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Quasicrystal Structures and Properties","field":"Materials Science","cited_by":30,"is_retracted":false,"has_abstract":true,"ca_institutions":"Saint Mary's University","funders":"Natural Sciences and Engineering Research Council of Canada; Universities Space Research Association","keywords":"Tile; Mathematics; Combinatorics; Enhanced Data Rates for GSM Evolution; Spherical trigonometry; Geometry; Pure mathematics; 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":[0.0002535774,0.0002218572,0.0003491103,0.0004681984,0.0009942704,0.0008615908,0.0003881051,0.0003472494,0.00463749],"category_scores_gemma":[0.0008051329,0.0002265551,0.000564385,0.0002876483,0.001219473,0.001135085,0.0007753363,0.00058228,0.0005659811],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005784671,"about_ca_system_score_gemma":0.0002057864,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001933678,"about_ca_topic_score_gemma":0.001660548,"domain_scores_codex":[0.9997018,0.0000534055,0.00002169285,0.0000641003,0.00007741379,0.00008157211],"domain_scores_gemma":[0.9995885,0.00009849748,0.00005024765,0.0001245441,0.00007094838,0.00006720795],"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":[0.0000944908,0.000009726677,0.0006798665,0.00004472548,0.000006913659,0.000258799,0.0005986847,0.006895219,0.01066268,0.9645581,0.001637715,0.014553],"study_design_scores_gemma":[0.00004395481,0.00008265716,0.001713057,0.00003935979,0.00001782471,0.000746016,0.0005225234,0.02951187,0.009569316,0.9241975,0.0335085,0.00004753945],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7137063,0.0006139452,0.1541707,0.0003179922,0.0001676494,0.00004161165,0.0003092726,0.0003034022,0.1303692],"genre_scores_gemma":[0.9621763,0.0003145013,0.02390203,0.0001020869,0.00006574537,0.00002831905,0.0003242769,0.0001283075,0.01295854],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00463749,"threshold_uncertainty_score":0.0155139,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.002305915727975238,"score_gpt":0.1694912427611991,"score_spread":0.1671853270332238,"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."}}