{"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":{"inline_featured_image":false,"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_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}},"categories":[1],"tags":[],"class_list":["post-14121","post","type-post","status-publish","format-standard","hentry","category-senza-categoria"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","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":5898,"url":"https:\/\/monodes.com\/predaelli\/2019\/08\/19\/top-cryptocurrencies-rated-by-white-paper-complexity\/","url_meta":{"origin":14121,"position":2},"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":3},"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":4},"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":[]},{"id":7014,"url":"https:\/\/monodes.com\/predaelli\/2020\/04\/02\/la-prima-giornata-delle-liberta-digitali\/","url_meta":{"origin":14121,"position":5},"title":"La prima giornata delle libert\u00e0 digitali","author":"Paolo Redaelli","date":"2020-04-02","format":"gallery","excerpt":"Forse \u00e8 il caso che le metta online, queste foto della prima, primissima Giornata delle Libert\u00e0 Digitali organizzata dal POuL, il \"Politecnico Open unix Labs\". Correva l'anno 2002, secondo i dati EXIF delle foto fatte da me era il 10 maggio 2002. Quanta acqua \u00e8 passata sotto i ponti! Sono\u2026","rel":"","context":"In &quot;Fun&quot;","block_context":{"text":"Fun","link":"https:\/\/monodes.com\/predaelli\/category\/fun\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/monodes.com\/predaelli\/wp-content\/uploads\/sites\/4\/2020\/04\/foto_65.jpg?fit=800%2C600&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/monodes.com\/predaelli\/wp-content\/uploads\/sites\/4\/2020\/04\/foto_65.jpg?fit=800%2C600&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/monodes.com\/predaelli\/wp-content\/uploads\/sites\/4\/2020\/04\/foto_65.jpg?fit=800%2C600&ssl=1&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/monodes.com\/predaelli\/wp-content\/uploads\/sites\/4\/2020\/04\/foto_65.jpg?fit=800%2C600&ssl=1&resize=700%2C400 2x"},"classes":[]}],"jetpack_likes_enabled":true,"_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":1,"href":"https:\/\/monodes.com\/predaelli\/wp-json\/wp\/v2\/posts\/14121\/revisions"}],"predecessor-version":[{"id":14122,"href":"https:\/\/monodes.com\/predaelli\/wp-json\/wp\/v2\/posts\/14121\/revisions\/14122"}],"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}]}}