{"id":"W1592820788","doi":"10.48550/arxiv.0905.1932","title":"C*-algebras of Penrose's hyperbolic tilings","year":2009,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Pacific Institute for the Mathematical Sciences","funders":"","keywords":"Penrose tiling; Mathematics; Pure mathematics; Substitution tiling; Quasicrystal; Combinatorics; 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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002421426,0.0002803043,0.0005275427,0.0001695335,0.00007895079,0.000023956,0.0007360626,0.0002890544,0.0001725085],"category_scores_gemma":[0.00009851541,0.0003093632,0.0002828609,0.0002922751,0.0001069209,0.00004966447,0.0004510599,0.0003958145,0.00006300065],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006429905,"about_ca_system_score_gemma":0.0001062116,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003228585,"about_ca_topic_score_gemma":0.00001517693,"domain_scores_codex":[0.9987544,0.00004578967,0.0003440746,0.0005226586,0.00009727122,0.0002357836],"domain_scores_gemma":[0.9978806,0.000202729,0.0004928132,0.001143104,0.0001676065,0.0001131723],"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":[0.0000123183,0.0004114765,0.0001981727,0.0005619117,0.00009528416,0.00001996434,0.0002823563,0.001024803,0.0003040862,0.9927281,0.004160814,0.0002007084],"study_design_scores_gemma":[0.0002828997,0.0000285556,0.0001890899,0.0001927864,0.0002431081,0.000003039406,0.0001069579,0.01325696,0.000890001,0.9835149,0.0009487888,0.0003428907],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.941321,0.00004415079,0.03274112,0.00007882029,0.00007464971,0.0005234859,0.00004619965,0.0001548448,0.02501574],"genre_scores_gemma":[0.989157,0.0001248294,0.007371643,0.00003206415,0.00005985592,0.000001649196,0.00001551227,0.00003296907,0.003204467],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04783602,"threshold_uncertainty_score":0.9999359,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1528217850253593,"score_gpt":0.2344801629262687,"score_spread":0.08165837790090943,"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."}}