{"id":35883,"date":"2026-06-14T00:00:16","date_gmt":"2026-06-14T07:00:16","guid":{"rendered":"https:\/\/www.gmpuzzles.com\/blog\/?p=35883"},"modified":"2026-06-13T07:50:37","modified_gmt":"2026-06-13T14:50:37","slug":"kropki-pairs-sudoku-by-philip-newman-6","status":"publish","type":"post","link":"https:\/\/www.gmpuzzles.com\/blog\/2026\/06\/kropki-pairs-sudoku-by-philip-newman-6\/","title":{"rendered":"Kropki Pairs Sudoku by Philip Newman"},"content":{"rendered":"<p>(This post is part of the <a href='https:\/\/www.gmpuzzles.com\/blog\/tag\/gas\/'>Genuinely Approachable Sudoku (GAS)<\/a> series.)<br \/>\nExperience the thrill of competing in the World Krop 2026 in this Kropki Sudoku.<\/p>\n<p align='center'><img src='https:\/\/www.gmpuzzles.com\/images\/puzzles2026\/260614-KropkiPairsSudoku-WorldKrop2026.png' alt='Kropki Pairs Sudoku by Philip Newman' \/><\/p>\n<p align='center'><a href='https:\/\/www.gmpuzzles.com\/images\/puzzles2026\/260614-KropkiPairsSudoku-WorldKrop2026.pdf'>PDF<\/a><\/p>\n<p>or <a href='https:\/\/www.gmpuzzles.com\/s\/260614Worl'>solve online<\/a> (using SudokuPad)<\/p>\n<p><b>Theme:<\/b> World Krop 2026<\/p>\n<p><b>Author\/Opus:<\/b> This is the 127th puzzle from Philip Newman, part of the Genuinely Approachable Sudoku (<a href='https:\/\/sudokutheory.com\/gas\/'>GAS<\/a>) team.<\/p>\n<p><b>Rules:<\/b> Standard <a href='https:\/\/www.gmpuzzles.com\/blog\/sudoku-rules-and-info\/'>Sudoku<\/a> rules (insert a number from 1 to 9 into each cell so that no number repeats in any row, column, or bold region). If a white circle is given between two adjacent cells, then the two numbers in those cells must differ by 1. If a black circle is given between two adjacent cells, then the two numbers must have a ratio of 2. Pairs of cells without circles can have any relationship.<\/p>\n<p><b>GAS Time Standards (highlight to view):<\/b> Two party hats (\ud83c\udfa9\ud83e\udd73): <span style='color: white;background-color: white'>TBA<\/span>; One party hat (\ud83e\udd73): <span style='color: white;background-color: white'>TBA<\/span>. All other solvers earn a \ud83e\udd95: <span style='color: white;background-color: white'>Rhapsodic Rhoetosaurus<\/span>.<\/p>\n<p><b>Thomas Hits the GAS (highlight to view):<\/b> <span style='color: white;background-color: white'>3:44<\/span>, with <a href='https:\/\/www.gmpuzzles.com\/images\/puzzles2026\/sudokupad-Philip_New-2026_06_14_World_Krop_2026-a1051-d225.replay'>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<p><b>Solution:<\/b> <a href='https:\/\/www.gmpuzzles.com\/images\/puzzles2026\/260614-KropkiPairsSudoku-WorldKrop2026-soln.pdf'>PDF<\/a>; solving video with explanation to be added later from GAS team.<\/p>\n<p><b>Note:<\/b> Follow this link for other less common variations of <a href='https:\/\/www.gmpuzzles.com\/blog\/tag\/sudoku-3+variation-2\/'>Sudoku<\/a>.<\/p>\n<p><b>Note 2:<\/b>\u00a0Comments on the blog are great! For a more interactive discussion, please also consider using our\u00a0<a href='https:\/\/discord.com\/channels\/1059513302847336469\/1380897111599616020'>Daily GAS discussion<\/a>\u00a0post\u00a0on the GMPuzzles Discord. Not a member of the Discord? Click\u00a0<a href='https:\/\/discord.gg\/RNNfEBEbQS'>this link<\/a>\u00a0for basic access.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>(This post is part of the Genuinely Approachable Sudoku (GAS) series.) Experience the thrill of competing in the World Krop 2026 in this Kropki Sudoku. PDF or solve online (using SudokuPad) Theme: World Krop 2026 Author\/Opus: This is the 127th puzzle from Philip Newman, part of the Genuinely Approachable Sudoku (GAS) team. Rules: Standard Sudoku [&hellip;]<\/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-35883","post","type-post","status-publish","format-standard","hentry","category-puzzle","category-othersudoku","tag-sudoku-3","tag-wednesdaythursday","tag-variation-2","tag-gas"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Kropki Pairs Sudoku by Philip Newman - The Art of Puzzles<\/title>\n<meta name=\"description\" content=\"Experience the thrill of competing in the World Krop 2026 in this Kropki Sudoku.\" \/>\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\/06\/kropki-pairs-sudoku-by-philip-newman-6\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Kropki Pairs Sudoku by Philip Newman - The Art of Puzzles\" \/>\n<meta property=\"og:description\" content=\"Experience the thrill of competing in the World Krop 2026 in this Kropki Sudoku.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.gmpuzzles.com\/blog\/2026\/06\/kropki-pairs-sudoku-by-philip-newman-6\/\" \/>\n<meta property=\"og:site_name\" content=\"The Art of Puzzles\" \/>\n<meta property=\"article:published_time\" content=\"2026-06-14T07:00:16+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.gmpuzzles.com\/images\/puzzles2026\/260614-KropkiPairsSudoku-WorldKrop2026.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\\\/06\\\/kropki-pairs-sudoku-by-philip-newman-6\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/06\\\/kropki-pairs-sudoku-by-philip-newman-6\\\/\"},\"author\":{\"name\":\"Philip Newman\",\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/#\\\/schema\\\/person\\\/22c94f31acaca1ad70424877966f3377\"},\"headline\":\"Kropki Pairs Sudoku by Philip Newman\",\"datePublished\":\"2026-06-14T07:00:16+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/06\\\/kropki-pairs-sudoku-by-philip-newman-6\\\/\"},\"wordCount\":242,\"commentCount\":0,\"image\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/06\\\/kropki-pairs-sudoku-by-philip-newman-6\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.gmpuzzles.com\\\/images\\\/puzzles2026\\\/260614-KropkiPairsSudoku-WorldKrop2026.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\\\/06\\\/kropki-pairs-sudoku-by-philip-newman-6\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/06\\\/kropki-pairs-sudoku-by-philip-newman-6\\\/\",\"url\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/06\\\/kropki-pairs-sudoku-by-philip-newman-6\\\/\",\"name\":\"Kropki Pairs Sudoku by Philip Newman - The Art of Puzzles\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/06\\\/kropki-pairs-sudoku-by-philip-newman-6\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/06\\\/kropki-pairs-sudoku-by-philip-newman-6\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.gmpuzzles.com\\\/images\\\/puzzles2026\\\/260614-KropkiPairsSudoku-WorldKrop2026.png\",\"datePublished\":\"2026-06-14T07:00:16+00:00\",\"author\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/#\\\/schema\\\/person\\\/22c94f31acaca1ad70424877966f3377\"},\"description\":\"Experience the thrill of competing in the World Krop 2026 in this Kropki Sudoku.\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/06\\\/kropki-pairs-sudoku-by-philip-newman-6\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/06\\\/kropki-pairs-sudoku-by-philip-newman-6\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/06\\\/kropki-pairs-sudoku-by-philip-newman-6\\\/#primaryimage\",\"url\":\"https:\\\/\\\/www.gmpuzzles.com\\\/images\\\/puzzles2026\\\/260614-KropkiPairsSudoku-WorldKrop2026.png\",\"contentUrl\":\"https:\\\/\\\/www.gmpuzzles.com\\\/images\\\/puzzles2026\\\/260614-KropkiPairsSudoku-WorldKrop2026.png\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/06\\\/kropki-pairs-sudoku-by-philip-newman-6\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Kropki Pairs 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":"Kropki Pairs Sudoku by Philip Newman - The Art of Puzzles","description":"Experience the thrill of competing in the World Krop 2026 in this Kropki Sudoku.","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\/06\/kropki-pairs-sudoku-by-philip-newman-6\/","og_locale":"en_US","og_type":"article","og_title":"Kropki Pairs Sudoku by Philip Newman - The Art of Puzzles","og_description":"Experience the thrill of competing in the World Krop 2026 in this Kropki Sudoku.","og_url":"https:\/\/www.gmpuzzles.com\/blog\/2026\/06\/kropki-pairs-sudoku-by-philip-newman-6\/","og_site_name":"The Art of Puzzles","article_published_time":"2026-06-14T07:00:16+00:00","og_image":[{"url":"https:\/\/www.gmpuzzles.com\/images\/puzzles2026\/260614-KropkiPairsSudoku-WorldKrop2026.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\/06\/kropki-pairs-sudoku-by-philip-newman-6\/#article","isPartOf":{"@id":"https:\/\/www.gmpuzzles.com\/blog\/2026\/06\/kropki-pairs-sudoku-by-philip-newman-6\/"},"author":{"name":"Philip Newman","@id":"https:\/\/www.gmpuzzles.com\/blog\/#\/schema\/person\/22c94f31acaca1ad70424877966f3377"},"headline":"Kropki Pairs Sudoku by Philip Newman","datePublished":"2026-06-14T07:00:16+00:00","mainEntityOfPage":{"@id":"https:\/\/www.gmpuzzles.com\/blog\/2026\/06\/kropki-pairs-sudoku-by-philip-newman-6\/"},"wordCount":242,"commentCount":0,"image":{"@id":"https:\/\/www.gmpuzzles.com\/blog\/2026\/06\/kropki-pairs-sudoku-by-philip-newman-6\/#primaryimage"},"thumbnailUrl":"https:\/\/www.gmpuzzles.com\/images\/puzzles2026\/260614-KropkiPairsSudoku-WorldKrop2026.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\/06\/kropki-pairs-sudoku-by-philip-newman-6\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/www.gmpuzzles.com\/blog\/2026\/06\/kropki-pairs-sudoku-by-philip-newman-6\/","url":"https:\/\/www.gmpuzzles.com\/blog\/2026\/06\/kropki-pairs-sudoku-by-philip-newman-6\/","name":"Kropki Pairs Sudoku by Philip Newman - The Art of Puzzles","isPartOf":{"@id":"https:\/\/www.gmpuzzles.com\/blog\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.gmpuzzles.com\/blog\/2026\/06\/kropki-pairs-sudoku-by-philip-newman-6\/#primaryimage"},"image":{"@id":"https:\/\/www.gmpuzzles.com\/blog\/2026\/06\/kropki-pairs-sudoku-by-philip-newman-6\/#primaryimage"},"thumbnailUrl":"https:\/\/www.gmpuzzles.com\/images\/puzzles2026\/260614-KropkiPairsSudoku-WorldKrop2026.png","datePublished":"2026-06-14T07:00:16+00:00","author":{"@id":"https:\/\/www.gmpuzzles.com\/blog\/#\/schema\/person\/22c94f31acaca1ad70424877966f3377"},"description":"Experience the thrill of competing in the World Krop 2026 in this Kropki Sudoku.","breadcrumb":{"@id":"https:\/\/www.gmpuzzles.com\/blog\/2026\/06\/kropki-pairs-sudoku-by-philip-newman-6\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.gmpuzzles.com\/blog\/2026\/06\/kropki-pairs-sudoku-by-philip-newman-6\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.gmpuzzles.com\/blog\/2026\/06\/kropki-pairs-sudoku-by-philip-newman-6\/#primaryimage","url":"https:\/\/www.gmpuzzles.com\/images\/puzzles2026\/260614-KropkiPairsSudoku-WorldKrop2026.png","contentUrl":"https:\/\/www.gmpuzzles.com\/images\/puzzles2026\/260614-KropkiPairsSudoku-WorldKrop2026.png"},{"@type":"BreadcrumbList","@id":"https:\/\/www.gmpuzzles.com\/blog\/2026\/06\/kropki-pairs-sudoku-by-philip-newman-6\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.gmpuzzles.com\/blog\/"},{"@type":"ListItem","position":2,"name":"Kropki Pairs 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\/35883","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=35883"}],"version-history":[{"count":4,"href":"https:\/\/www.gmpuzzles.com\/blog\/wp-json\/wp\/v2\/posts\/35883\/revisions"}],"predecessor-version":[{"id":35889,"href":"https:\/\/www.gmpuzzles.com\/blog\/wp-json\/wp\/v2\/posts\/35883\/revisions\/35889"}],"wp:attachment":[{"href":"https:\/\/www.gmpuzzles.com\/blog\/wp-json\/wp\/v2\/media?parent=35883"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gmpuzzles.com\/blog\/wp-json\/wp\/v2\/categories?post=35883"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gmpuzzles.com\/blog\/wp-json\/wp\/v2\/tags?post=35883"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}