{"id":14121,"date":"2025-10-18T00:21:40","date_gmt":"2025-10-17T22:21:40","guid":{"rendered":"https:\/\/monodes.com\/predaelli\/?p=14121"},"modified":"2025-10-18T00:21:40","modified_gmt":"2025-10-17T22:21:40","slug":"entropy-bagels-and-other-complex-structures-emerge-from-simple-rules-quanta-magazine","status":"publish","type":"post","link":"https:\/\/monodes.com\/predaelli\/2025\/10\/18\/entropy-bagels-and-other-complex-structures-emerge-from-simple-rules-quanta-magazine\/","title":{"rendered":"\u2018Entropy Bagels\u2019 and Other Complex Structures Emerge From Simple Rules | Quanta Magazine"},"content":{"rendered":"<blockquote><p>Simple rules in simple settings continue to puzzle mathematicians, even as they devise intricate tools to analyze them.<\/p><\/blockquote>\n<p>Source: <em><a href=\"https:\/\/www.quantamagazine.org\/entropy-bagels-and-other-complex-structures-emerge-from-simple-rules-20240227\/\">\u2018Entropy Bagels\u2019 and Other Complex Structures Emerge From Simple Rules | Quanta Magazine<\/a><\/em><\/p>\n<div id=\"inkAppRoot\">\n<div><\/div>\n<\/div>\n<div id=\"inkPopUp\">\n<div><\/div>\n<\/div>\n<div id=\"inkAppFlex\">\n<div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p class=\"excerpt\">Simple rules in simple settings continue to puzzle mathematicians, even as they devise intricate tools to analyze them. Source: \u2018Entropy Bagels\u2019 and Other Complex Structures Emerge From Simple Rules | Quanta Magazine<\/p>\n<p class=\"more-link-p\"><a class=\"more-link\" href=\"https:\/\/monodes.com\/predaelli\/2025\/10\/18\/entropy-bagels-and-other-complex-structures-emerge-from-simple-rules-quanta-magazine\/\">Read more &rarr;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_hide_featured_image":false,"_jetpack_featured_image_duplicate_dismissed":0,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"activitypub_content_warning":"","activitypub_content_visibility":"","activitypub_max_image_attachments":4,"activitypub_interaction_policy_quote":"anyone","activitypub_status":"federated","footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[1],"tags":[],"class_list":["post-14121","post","type-post","status-publish","format-standard","hentry","category-senza-categoria"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p6daft-3FL","jetpack-related-posts":[{"id":11020,"url":"https:\/\/monodes.com\/predaelli\/2023\/12\/12\/an-easy-sounding-problem-yields-numbers-too-big-for-our-universe-quanta-magazine\/","url_meta":{"origin":14121,"position":0},"title":"An Easy-Sounding Problem Yields Numbers Too Big for Our Universe | Quanta Magazine","author":"Paolo Redaelli","date":"2023-12-12","format":"link","excerpt":"Researchers prove that navigating certain systems of vectors is among the most complex computational problems. Source: An Easy-Sounding Problem Yields Numbers Too Big for Our Universe | Quanta Magazine","rel":"","context":"In &quot;Senza categoria&quot;","block_context":{"text":"Senza categoria","link":"https:\/\/monodes.com\/predaelli\/category\/senza-categoria\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":9470,"url":"https:\/\/monodes.com\/predaelli\/2022\/06\/27\/computer-scientists-break-traveling-salesperson-record-quanta-magazine\/","url_meta":{"origin":14121,"position":1},"title":"Computer Scientists Break Traveling Salesperson Record | Quanta Magazine","author":"Paolo Redaelli","date":"2022-06-27","format":"link","excerpt":"After 44 years, there\u2019s finally a better way to find approximate solutions to the notoriously difficult traveling salesperson problem. Source: Computer Scientists Break Traveling Salesperson Record | Quanta Magazine","rel":"","context":"In &quot;Documentations&quot;","block_context":{"text":"Documentations","link":"https:\/\/monodes.com\/predaelli\/category\/documentations\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":16125,"url":"https:\/\/monodes.com\/predaelli\/2026\/10\/24\/thermodynamics-mood\/","url_meta":{"origin":14121,"position":2},"title":"Thermodynamics mood","author":"Paolo Redaelli","date":"2026-10-24","format":false,"excerpt":"Today I had to cheer up y daughter who was quite desperate about thermodynamics... so I recalled this \"Ludwig Boltzmann, who spent much of his life studying statistical mechanics, died in 1906, by his own hand. Paul Ehrenfest, carrying on the work, died similarly in 1933. Now it is our\u2026","rel":"","context":"In &quot;Mood&quot;","block_context":{"text":"Mood","link":"https:\/\/monodes.com\/predaelli\/category\/mood\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":5898,"url":"https:\/\/monodes.com\/predaelli\/2019\/08\/19\/top-cryptocurrencies-rated-by-white-paper-complexity\/","url_meta":{"origin":14121,"position":3},"title":"Top Cryptocurrencies Rated by White Paper Complexity","author":"Paolo Redaelli","date":"2019-08-19","format":false,"excerpt":"\u00abTop Cryptocurrencies Rated by White Paper Complexity\u00bb is an interesting read. It subtitle recites: Studying the correlation between the readability of white papers and the money raised. It seems that when you write in English the dumber the better. While I must admit that often English allow to express yourself\u2026","rel":"","context":"In &quot;Mood&quot;","block_context":{"text":"Mood","link":"https:\/\/monodes.com\/predaelli\/category\/mood\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/miro.medium.com\/max\/60\/1%2Ava3fyXmTX9u4c6FhKPBXAQ.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/miro.medium.com\/max\/60\/1%2Ava3fyXmTX9u4c6FhKPBXAQ.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/miro.medium.com\/max\/60\/1%2Ava3fyXmTX9u4c6FhKPBXAQ.png?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/miro.medium.com\/max\/60\/1%2Ava3fyXmTX9u4c6FhKPBXAQ.png?resize=700%2C400&ssl=1 2x"},"classes":[]},{"id":15334,"url":"https:\/\/monodes.com\/predaelli\/2026\/03\/15\/how-can-we-trust-them\/","url_meta":{"origin":14121,"position":4},"title":"How can we trust them?","author":"Paolo Redaelli","date":"2026-03-15","format":false,"excerpt":"When I found Algorithms with TypeScript I told myself \"wow, that's an interesting book!\" And the premises are really catching: This book grew out of a simple observation: most software engineers use algorithms and data structures every day, yet many feel uncertain about the fundamentals. \u2026 Algorithms with TypeScript bridges\u2026","rel":"","context":"In &quot;Ethics&quot;","block_context":{"text":"Ethics","link":"https:\/\/monodes.com\/predaelli\/category\/ethics\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":1540,"url":"https:\/\/monodes.com\/predaelli\/2016\/05\/17\/structural-modeling-rivista-di-modellazione-fem\/","url_meta":{"origin":14121,"position":5},"title":"Structural Modeling &#8211; Rivista di Modellazione FEM","author":"Paolo Redaelli","date":"2016-05-17","format":false,"excerpt":"It would be better to avoid seeing my knowledge become obsolete and start reading magazines like \u00abStructural Modeling - Rivista di Modellazione FEM\u00bb: Rassegna di progetti strutturali eseguiti dai migliori strutturisti italiani nel mondo dell'Architettura, Ingegneria e Costruzioni","rel":"","context":"In &quot;Ingegneria&quot;","block_context":{"text":"Ingegneria","link":"https:\/\/monodes.com\/predaelli\/category\/ingegneria\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"jetpack_likes_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/monodes.com\/predaelli\/wp-json\/wp\/v2\/posts\/14121","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/monodes.com\/predaelli\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/monodes.com\/predaelli\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/monodes.com\/predaelli\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/monodes.com\/predaelli\/wp-json\/wp\/v2\/comments?post=14121"}],"version-history":[{"count":0,"href":"https:\/\/monodes.com\/predaelli\/wp-json\/wp\/v2\/posts\/14121\/revisions"}],"wp:attachment":[{"href":"https:\/\/monodes.com\/predaelli\/wp-json\/wp\/v2\/media?parent=14121"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/monodes.com\/predaelli\/wp-json\/wp\/v2\/categories?post=14121"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/monodes.com\/predaelli\/wp-json\/wp\/v2\/tags?post=14121"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}