{"id":35043,"date":"2026-02-16T00:00:36","date_gmt":"2026-02-16T08:00:36","guid":{"rendered":"https:\/\/www.gmpuzzles.com\/blog\/?p=35043"},"modified":"2026-02-18T15:19:39","modified_gmt":"2026-02-18T23:19:39","slug":"entropic-modular-lines-sudoku-by-philip-newman","status":"publish","type":"post","link":"https:\/\/www.gmpuzzles.com\/blog\/2026\/02\/entropic-modular-lines-sudoku-by-philip-newman\/","title":{"rendered":"Entropic\/Modular Lines Sudoku by Philip Newman"},"content":{"rendered":"

This post is part of the Genuinely Approachable Sudoku (GAS)<\/a> series.)
\nHere is one last flower from Philip Newman in the form of today’s Entropic\/Modular Lines Sudoku. If you aren’t familiar with these variants, looking at a numeric keypad could help as one rule cycles across different columns and the other cycles across different rows!<\/em><\/p>\n

Entropic\/Modular Lines Sudoku by Philip Newman<\/p>\n

PDF<\/a><\/p>\n

or solve online<\/a> (using SudokuPad)<\/p>\n

Theme:<\/b> Birbs of Paradise<\/p>\n

Author\/Opus:<\/b> This is the 88th puzzle from Philip Newman, part of the Genuinely Approachable Sudoku (GAS<\/a>) team.<\/p>\n

Rules:<\/b> Standard Sudoku rules (insert a number from 1 to 9 into each cell so that no number repeats in any row, column, or bold region). <\/p>\n

Numbers along peach lines (entropic lines) must form a repeating cycle of L = Low (1, 2, 3), M = Medium (4, 5, 6), and H = High (7, 8, 9) numbers like \u2026LMHLMH\u2026 or \u2026LHMLHM\u2026. <\/p>\n

Numbers along teal lines (modular lines) must form a repeating cycle of different
\nremainders after division by three, specifically zero (3, 6, 9 \u2261 0 mod 3), one (1, 4, 7 \u2261 1 mod 3), and two (2, 5, 8 \u2261 2 mod 3) like \u2026012012\u2026 or \u2026021021\u2026.<\/p>\n

GAS Time Standards (highlight to view):<\/b> Two party hats (\ud83c\udfa9\ud83e\udd73): 8:00<\/span>; One party hat (\ud83e\udd73): 15:00<\/span>. All other solvers earn a \ud83e\udd95: Epic Epachthosaurus<\/span>.<\/p>\n

Thomas Hits the GAS (highlight to view):<\/b> 3:58<\/span>, with SudokuPad replay file<\/a> shared as a download for now (requires loading via settings menu with improvements expected before people should use this regularly).<\/p>\n

Solution:<\/b> PDF<\/a> and solving video<\/a> with explanation from GAS team.<\/p>\n

Note:<\/b> Follow this link for other less common variations of Sudoku<\/a>.<\/p>\n

Note 2:<\/b>\u00a0Comments on the blog are great! For a more interactive discussion, please also consider using our\u00a0Daily GAS discussion<\/a>\u00a0post\u00a0on the GMPuzzles Discord. Not a member of the Discord? Click\u00a0this link<\/a>\u00a0for basic access.<\/p>\n","protected":false},"excerpt":{"rendered":"

This post is part of the Genuinely Approachable Sudoku (GAS) series.) Here is one last flower from Philip Newman in the form of today’s Entropic\/Modular Lines Sudoku. If you aren’t familiar with these variants, looking at a numeric keypad could help as one rule cycles across different columns and the other cycles across different rows! […]<\/p>\n","protected":false},"author":442,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3,126],"tags":[8,15,56,237],"class_list":["post-35043","post","type-post","status-publish","format-standard","hentry","category-puzzle","category-othersudoku","tag-sudoku-3","tag-wednesdaythursday","tag-variation-2","tag-gas"],"yoast_head":"\nEntropic\/Modular Lines Sudoku by Philip Newman - The Art of Puzzles<\/title>\n<meta name=\"description\" content=\"One last flower from Philip Newman with today's Entropic\/Modular Lines Sudoku; looking at a numeric keypad could help with these variants!\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.gmpuzzles.com\/blog\/2026\/02\/entropic-modular-lines-sudoku-by-philip-newman\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Entropic\/Modular Lines Sudoku by Philip Newman - The Art of Puzzles\" \/>\n<meta property=\"og:description\" content=\"One last flower from Philip Newman with today's Entropic\/Modular Lines Sudoku; looking at a numeric keypad could help with these variants!\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.gmpuzzles.com\/blog\/2026\/02\/entropic-modular-lines-sudoku-by-philip-newman\/\" \/>\n<meta property=\"og:site_name\" content=\"The Art of Puzzles\" \/>\n<meta property=\"article:published_time\" content=\"2026-02-16T08:00:36+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-02-18T23:19:39+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.gmpuzzles.com\/images\/puzzles2026\/260216-EntropicModularLinesSudoku-BirbsOfParadise.png\" \/>\n<meta name=\"author\" content=\"Philip Newman\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@drsudoku\" \/>\n<meta name=\"twitter:site\" content=\"@drsudoku\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Philip Newman\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/02\\\/entropic-modular-lines-sudoku-by-philip-newman\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/02\\\/entropic-modular-lines-sudoku-by-philip-newman\\\/\"},\"author\":{\"name\":\"Philip Newman\",\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/#\\\/schema\\\/person\\\/22c94f31acaca1ad70424877966f3377\"},\"headline\":\"Entropic\\\/Modular Lines Sudoku by Philip Newman\",\"datePublished\":\"2026-02-16T08:00:36+00:00\",\"dateModified\":\"2026-02-18T23:19:39+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/02\\\/entropic-modular-lines-sudoku-by-philip-newman\\\/\"},\"wordCount\":275,\"commentCount\":0,\"image\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/02\\\/entropic-modular-lines-sudoku-by-philip-newman\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.gmpuzzles.com\\\/images\\\/puzzles2026\\\/260216-EntropicModularLinesSudoku-BirbsOfParadise.png\",\"keywords\":[\"sudoku\",\"wed\\\/thurs\",\"variation\",\"gas\"],\"articleSection\":[\"Puzzle\",\"Other Sudoku\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/02\\\/entropic-modular-lines-sudoku-by-philip-newman\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/02\\\/entropic-modular-lines-sudoku-by-philip-newman\\\/\",\"url\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/02\\\/entropic-modular-lines-sudoku-by-philip-newman\\\/\",\"name\":\"Entropic\\\/Modular Lines Sudoku by Philip Newman - The Art of Puzzles\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/02\\\/entropic-modular-lines-sudoku-by-philip-newman\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/02\\\/entropic-modular-lines-sudoku-by-philip-newman\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.gmpuzzles.com\\\/images\\\/puzzles2026\\\/260216-EntropicModularLinesSudoku-BirbsOfParadise.png\",\"datePublished\":\"2026-02-16T08:00:36+00:00\",\"dateModified\":\"2026-02-18T23:19:39+00:00\",\"author\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/#\\\/schema\\\/person\\\/22c94f31acaca1ad70424877966f3377\"},\"description\":\"One last flower from Philip Newman with today's Entropic\\\/Modular Lines Sudoku; looking at a numeric keypad could help with these variants!\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/02\\\/entropic-modular-lines-sudoku-by-philip-newman\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/02\\\/entropic-modular-lines-sudoku-by-philip-newman\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/02\\\/entropic-modular-lines-sudoku-by-philip-newman\\\/#primaryimage\",\"url\":\"https:\\\/\\\/www.gmpuzzles.com\\\/images\\\/puzzles2026\\\/260216-EntropicModularLinesSudoku-BirbsOfParadise.png\",\"contentUrl\":\"https:\\\/\\\/www.gmpuzzles.com\\\/images\\\/puzzles2026\\\/260216-EntropicModularLinesSudoku-BirbsOfParadise.png\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/02\\\/entropic-modular-lines-sudoku-by-philip-newman\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Entropic\\\/Modular Lines Sudoku by Philip Newman\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/#website\",\"url\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/\",\"name\":\"The Art of Puzzles\",\"description\":\"Grandmaster Puzzles\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/#\\\/schema\\\/person\\\/22c94f31acaca1ad70424877966f3377\",\"name\":\"Philip Newman\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/435bfe5201e7332ccf210ca3dad101f59cce58b4abb7ea5c4780b44b3d19eafb?s=96&d=mm&r=g\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/435bfe5201e7332ccf210ca3dad101f59cce58b4abb7ea5c4780b44b3d19eafb?s=96&d=mm&r=g\",\"contentUrl\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/435bfe5201e7332ccf210ca3dad101f59cce58b4abb7ea5c4780b44b3d19eafb?s=96&d=mm&r=g\",\"caption\":\"Philip Newman\"},\"url\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/author\\\/philip-newman\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Entropic\/Modular Lines Sudoku by Philip Newman - The Art of Puzzles","description":"One last flower from Philip Newman with today's Entropic\/Modular Lines Sudoku; looking at a numeric keypad could help with these variants!","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.gmpuzzles.com\/blog\/2026\/02\/entropic-modular-lines-sudoku-by-philip-newman\/","og_locale":"en_US","og_type":"article","og_title":"Entropic\/Modular Lines Sudoku by Philip Newman - The Art of Puzzles","og_description":"One last flower from Philip Newman with today's Entropic\/Modular Lines Sudoku; looking at a numeric keypad could help with these variants!","og_url":"https:\/\/www.gmpuzzles.com\/blog\/2026\/02\/entropic-modular-lines-sudoku-by-philip-newman\/","og_site_name":"The Art of Puzzles","article_published_time":"2026-02-16T08:00:36+00:00","article_modified_time":"2026-02-18T23:19:39+00:00","og_image":[{"url":"https:\/\/www.gmpuzzles.com\/images\/puzzles2026\/260216-EntropicModularLinesSudoku-BirbsOfParadise.png","type":"","width":"","height":""}],"author":"Philip Newman","twitter_card":"summary_large_image","twitter_creator":"@drsudoku","twitter_site":"@drsudoku","twitter_misc":{"Written by":"Philip Newman","Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/www.gmpuzzles.com\/blog\/2026\/02\/entropic-modular-lines-sudoku-by-philip-newman\/#article","isPartOf":{"@id":"https:\/\/www.gmpuzzles.com\/blog\/2026\/02\/entropic-modular-lines-sudoku-by-philip-newman\/"},"author":{"name":"Philip Newman","@id":"https:\/\/www.gmpuzzles.com\/blog\/#\/schema\/person\/22c94f31acaca1ad70424877966f3377"},"headline":"Entropic\/Modular Lines Sudoku by Philip Newman","datePublished":"2026-02-16T08:00:36+00:00","dateModified":"2026-02-18T23:19:39+00:00","mainEntityOfPage":{"@id":"https:\/\/www.gmpuzzles.com\/blog\/2026\/02\/entropic-modular-lines-sudoku-by-philip-newman\/"},"wordCount":275,"commentCount":0,"image":{"@id":"https:\/\/www.gmpuzzles.com\/blog\/2026\/02\/entropic-modular-lines-sudoku-by-philip-newman\/#primaryimage"},"thumbnailUrl":"https:\/\/www.gmpuzzles.com\/images\/puzzles2026\/260216-EntropicModularLinesSudoku-BirbsOfParadise.png","keywords":["sudoku","wed\/thurs","variation","gas"],"articleSection":["Puzzle","Other Sudoku"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/www.gmpuzzles.com\/blog\/2026\/02\/entropic-modular-lines-sudoku-by-philip-newman\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/www.gmpuzzles.com\/blog\/2026\/02\/entropic-modular-lines-sudoku-by-philip-newman\/","url":"https:\/\/www.gmpuzzles.com\/blog\/2026\/02\/entropic-modular-lines-sudoku-by-philip-newman\/","name":"Entropic\/Modular Lines Sudoku by Philip Newman - The Art of Puzzles","isPartOf":{"@id":"https:\/\/www.gmpuzzles.com\/blog\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.gmpuzzles.com\/blog\/2026\/02\/entropic-modular-lines-sudoku-by-philip-newman\/#primaryimage"},"image":{"@id":"https:\/\/www.gmpuzzles.com\/blog\/2026\/02\/entropic-modular-lines-sudoku-by-philip-newman\/#primaryimage"},"thumbnailUrl":"https:\/\/www.gmpuzzles.com\/images\/puzzles2026\/260216-EntropicModularLinesSudoku-BirbsOfParadise.png","datePublished":"2026-02-16T08:00:36+00:00","dateModified":"2026-02-18T23:19:39+00:00","author":{"@id":"https:\/\/www.gmpuzzles.com\/blog\/#\/schema\/person\/22c94f31acaca1ad70424877966f3377"},"description":"One last flower from Philip Newman with today's Entropic\/Modular Lines Sudoku; looking at a numeric keypad could help with these variants!","breadcrumb":{"@id":"https:\/\/www.gmpuzzles.com\/blog\/2026\/02\/entropic-modular-lines-sudoku-by-philip-newman\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.gmpuzzles.com\/blog\/2026\/02\/entropic-modular-lines-sudoku-by-philip-newman\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.gmpuzzles.com\/blog\/2026\/02\/entropic-modular-lines-sudoku-by-philip-newman\/#primaryimage","url":"https:\/\/www.gmpuzzles.com\/images\/puzzles2026\/260216-EntropicModularLinesSudoku-BirbsOfParadise.png","contentUrl":"https:\/\/www.gmpuzzles.com\/images\/puzzles2026\/260216-EntropicModularLinesSudoku-BirbsOfParadise.png"},{"@type":"BreadcrumbList","@id":"https:\/\/www.gmpuzzles.com\/blog\/2026\/02\/entropic-modular-lines-sudoku-by-philip-newman\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.gmpuzzles.com\/blog\/"},{"@type":"ListItem","position":2,"name":"Entropic\/Modular Lines Sudoku by Philip Newman"}]},{"@type":"WebSite","@id":"https:\/\/www.gmpuzzles.com\/blog\/#website","url":"https:\/\/www.gmpuzzles.com\/blog\/","name":"The Art of Puzzles","description":"Grandmaster Puzzles","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.gmpuzzles.com\/blog\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/www.gmpuzzles.com\/blog\/#\/schema\/person\/22c94f31acaca1ad70424877966f3377","name":"Philip Newman","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/secure.gravatar.com\/avatar\/435bfe5201e7332ccf210ca3dad101f59cce58b4abb7ea5c4780b44b3d19eafb?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/435bfe5201e7332ccf210ca3dad101f59cce58b4abb7ea5c4780b44b3d19eafb?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/435bfe5201e7332ccf210ca3dad101f59cce58b4abb7ea5c4780b44b3d19eafb?s=96&d=mm&r=g","caption":"Philip Newman"},"url":"https:\/\/www.gmpuzzles.com\/blog\/author\/philip-newman\/"}]}},"_links":{"self":[{"href":"https:\/\/www.gmpuzzles.com\/blog\/wp-json\/wp\/v2\/posts\/35043","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gmpuzzles.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gmpuzzles.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gmpuzzles.com\/blog\/wp-json\/wp\/v2\/users\/442"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gmpuzzles.com\/blog\/wp-json\/wp\/v2\/comments?post=35043"}],"version-history":[{"count":5,"href":"https:\/\/www.gmpuzzles.com\/blog\/wp-json\/wp\/v2\/posts\/35043\/revisions"}],"predecessor-version":[{"id":35055,"href":"https:\/\/www.gmpuzzles.com\/blog\/wp-json\/wp\/v2\/posts\/35043\/revisions\/35055"}],"wp:attachment":[{"href":"https:\/\/www.gmpuzzles.com\/blog\/wp-json\/wp\/v2\/media?parent=35043"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gmpuzzles.com\/blog\/wp-json\/wp\/v2\/categories?post=35043"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gmpuzzles.com\/blog\/wp-json\/wp\/v2\/tags?post=35043"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}