{"id":33140,"date":"2025-06-24T10:15:46","date_gmt":"2025-06-24T17:15:46","guid":{"rendered":"https:\/\/www.gmpuzzles.com\/blog\/?p=33140"},"modified":"2025-06-24T10:59:32","modified_gmt":"2025-06-24T17:59:32","slug":"kropki-pairs-sudoku-by-thomas-snyder","status":"publish","type":"post","link":"https:\/\/www.gmpuzzles.com\/blog\/2025\/06\/kropki-pairs-sudoku-by-thomas-snyder\/","title":{"rendered":"Kropki Pairs Sudoku by Thomas Snyder"},"content":{"rendered":"<p><em>This Kropki Pairs Sudoku was inspired by a variant selection and puzzle by Philip Newman from earlier today, as Thomas explored how some new themes can be added to Consecutive Pairs by allowing multiplication on the other side of a grid.<\/em><\/p>\n<p align=\"center\"><img decoding=\"async\" src=\"https:\/\/www.gmpuzzles.com\/images\/puzzles2025\/250624-KropkiPairsSudoku-WhereAdditionMeetsMultiplication.png\" alt=\"Kropki Pairs Sudoku by Thomas Snyder\" \/><\/p>\n<p align=\"center\"><a href=\"https:\/\/www.gmpuzzles.com\/images\/puzzles2025\/250624-KropkiPairsSudoku-WhereAdditionMeetsMultiplication.pdf\">PDF<\/a><\/p>\n<p>or <a href=\"https:\/\/gmpuzzles.com\/s\/250624WAMS\">solve online<\/a> (using SudokuPad)<\/p>\n<p><b>Theme:<\/b> Where Addition Meets Multiplication<\/p>\n<p><b>Author\/Opus:<\/b> This is the 582nd puzzle from Thomas Snyder, aka Dr. Sudoku.<\/p>\n<p><b>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). 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>Solution:<\/b> <a href=\"https:\/\/www.gmpuzzles.com\/images\/puzzles2025\/250624-KropkiPairsSudoku-WhereAdditionMeetsMultiplication-soln.pdf\">PDF<\/a><\/p>\n<p><b>Note:<\/b> Follow this link for more <a href=\"https:\/\/www.gmpuzzles.com\/blog\/tag\/gas\/\">Genuinely Approachable Sudoku puzzles<\/a> on this site. 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 Kropki Pairs Sudoku was inspired by a variant selection and puzzle by Philip Newman from earlier today, as Thomas explored how some new themes can be added to Consecutive Pairs by allowing multiplication on the other side of a grid. PDF or solve online (using SudokuPad) Theme: Where Addition Meets Multiplication Author\/Opus: This is [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3,126],"tags":[8,17,56,240],"class_list":["post-33140","post","type-post","status-publish","format-standard","hentry","category-puzzle","category-othersudoku","tag-sudoku-3","tag-fridaysaturday","tag-variation-2","tag-kropki"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Kropki Pairs Sudoku by Thomas Snyder - The Art of Puzzles<\/title>\n<meta name=\"description\" content=\"This Kropki Pairs Sudoku was inspired by today&#039;s GAS puzzle and explores how themes can work with both addition and multiplication marks.\" \/>\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\/2025\/06\/kropki-pairs-sudoku-by-thomas-snyder\/\" \/>\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 Thomas Snyder - 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