{"id":"W4413783504","doi":"10.17654/0972555525031","title":"PARADOXICAL -FACES DICE BUILT FROM MAGIC SQUARES","year":2025,"lang":"en","type":"article","venue":"JP Journal of Algebra Number Theory and Applications","topic":"Architecture and Computational Design","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Dice; Magic square; MAGIC (telescope); Art; Mathematics; Computer science; Artificial intelligence; Combinatorics; Geometry; Physics; Astronomy","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004183346,0.000419276,0.0005055563,0.0005421483,0.001109226,0.001414687,0.0007160385,0.0009697506,0.02264394],"category_scores_gemma":[0.002219436,0.0003198104,0.0004261965,0.0003705475,0.001617591,0.001960583,0.002330713,0.001320645,0.001752679],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004729858,"about_ca_system_score_gemma":0.0003319938,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003420351,"about_ca_topic_score_gemma":0.0007507055,"domain_scores_codex":[0.9996305,0.00007952542,0.0000165311,0.00007042694,0.0001223158,0.00008076298],"domain_scores_gemma":[0.9993549,0.000208092,0.00003871308,0.0001811151,0.00009460878,0.0001226419],"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":[0.0001954419,0.00002228398,0.0002758974,0.00006813275,0.0000139996,0.0003251088,0.0001344447,0.007352006,0.00550794,0.9698701,0.005110431,0.01112423],"study_design_scores_gemma":[0.00008309791,0.0001130516,0.0003686335,0.00004383143,0.00001801937,0.0005978222,0.0001306,0.0434987,0.008954627,0.919905,0.02623909,0.00004749121],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4199071,0.0005493851,0.2256004,0.001595445,0.0009099409,0.0001998607,0.0009243361,0.001361529,0.348952],"genre_scores_gemma":[0.9252627,0.0001513969,0.04341833,0.0004294977,0.00005556806,0.0001020185,0.0002971816,0.0001657262,0.03011755],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02264394,"threshold_uncertainty_score":0.07575154,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.003976816312108283,"score_gpt":0.2367514995244265,"score_spread":0.2327746832123182,"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."}}