{"id":15547,"date":"2021-06-19T09:00:22","date_gmt":"2021-06-19T16:00:22","guid":{"rendered":"https:\/\/www.gmpuzzles.com\/blog\/?p=15547"},"modified":"2021-07-04T13:39:45","modified_gmt":"2021-07-04T20:39:45","slug":"tomtom-cage-pairs-by-dan-katz","status":"publish","type":"post","link":"https:\/\/www.gmpuzzles.com\/blog\/2021\/06\/tomtom-cage-pairs-by-dan-katz\/","title":{"rendered":"TomTom (Cage Pairs) by Dan Katz"},"content":{"rendered":"<p align=\"center\"><img decoding=\"async\" src=\"https:\/\/www.gmpuzzles.com\/images\/puzzles2021\/210619-TomTomCagePairs-OneTwoPunch.png\" alt=\"TomTom (Cage Pairs) by Dan Katz\"><\/p>\n<p align=\"center\"><a href=\"https:\/\/www.gmpuzzles.com\/images\/puzzles2021\/210619-TomTomCagePairs-OneTwoPunch.pdf\">PDF<\/a><\/p>\n<p>or <a href=https:\/\/gmpuzzles.com\/s\/210619One2>solve online<\/a> (using our beta test of Penpa-Edit tools)<\/p>\n<p><b>Theme:<\/b> One-Two Punch<\/p>\n<p><b>Author\/Opus:<\/b> This is the 16th puzzle from guest contributor Dan Katz.<\/p>\n<p><b>Rules:<\/b> Standard <a href=\"https:\/\/www.gmpuzzles.com\/blog\/tomtom-rules-and-info\/\">TomTom<\/a> rules, using the integers 1-6. Additionally, no clue numbers are given for the cages, but clue numbers are given for adjacent pairs of cages. For each clue number, it must be possible to apply one operation to the digits in the first cage, a different operation to the digits in the second cage, and a third operation (different from the first two) to the two cage results to obtain the given clue number.<\/p>\n<p>See also this example:<\/p>\n<p align=\"center\"><img decoding=\"async\" src=\"https:\/\/www.gmpuzzles.com\/images\/puzzles2021\/TomTomCagePairs-Example.png\" alt=\"TomTom (Cage Pairs) example by Serkan Y\u00fcrekli\" width=500><\/p>\n<p><b>Difficulty:<\/b> 4.5 stars<\/p>\n<p><b>Time Standards (highlight to view):<\/b> <span style=\"color:white;background-color:white;\">Grandmaster = 6:15, Master = 17:30, Expert = 35:00<\/span><\/p>\n<p><b>Solution:<\/b> <a href=\"https:\/\/www.gmpuzzles.com\/images\/puzzles2021\/210619-TomTomCagePairs-OneTwoPunch-soln.pdf\">PDF<\/a>; a solution video is also available <a href=https:\/\/youtu.be\/CB19ag2w06c>here<\/a>.<\/p>\n<p><b>Note:<\/b> Follow this link for <a href=\"https:\/\/www.gmpuzzles.com\/blog\/tag\/tomtom-2+classic\/\">classic TomTom<\/a> and this link for <a href=\"https:\/\/www.gmpuzzles.com\/blog\/tag\/tomtom-2+variation-2\/\">TomTom variations<\/a>. If you are new to this puzzle type, here are our <a href=https:\/\/www.gmpuzzles.com\/blog\/tag\/tomtom-2+classic+mondaytuesday\/>easiest TomTom<\/a> to get started on. More TomTom puzzles can be found in the <i><a href=https:\/\/shop.gmpuzzles.com\/products\/tomtom>TomTom<\/a><\/i> collection, in <a href=https:\/\/gmpuzzles.com\/store\/the-art-of-puzzles><i>The Art of Puzzles<\/i><\/a>, and in our beginner-friendly collection <a href=https:\/\/www.gmpuzzles.com\/store\/intro-to-gmpuzzles><i>Intro to GMPuzzles<\/i><\/a> by Serkan Y\u00fcrekli.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>PDF or solve online (using our beta test of Penpa-Edit tools) Theme: One-Two Punch Author\/Opus: This is the 16th puzzle from guest contributor Dan Katz. Rules: Standard TomTom rules, using the integers 1-6. Additionally, no clue numbers are given for the cages, but clue numbers are given for adjacent pairs of cages. For each clue [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13,3,55],"tags":[14,17,56],"class_list":["post-15547","post","type-post","status-publish","format-standard","hentry","category-tomtom","category-puzzle","category-variation","tag-tomtom-2","tag-fridaysaturday","tag-variation-2"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>TomTom (Cage Pairs) by Dan Katz - The Art of Puzzles<\/title>\n<meta name=\"description\" content=\"Dan Katz created this challenging new variation of TomTom puzzles where you have to determine cage values and operations from paired clues.\" \/>\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\/2021\/06\/tomtom-cage-pairs-by-dan-katz\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"TomTom (Cage Pairs) by Dan Katz - The Art of Puzzles\" \/>\n<meta property=\"og:description\" content=\"Dan Katz created this challenging new variation of TomTom puzzles where you have to determine cage values and operations from paired clues.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.gmpuzzles.com\/blog\/2021\/06\/tomtom-cage-pairs-by-dan-katz\/\" \/>\n<meta property=\"og:site_name\" content=\"The Art of Puzzles\" \/>\n<meta property=\"article:published_time\" content=\"2021-06-19T16:00:22+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-07-04T20:39:45+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.gmpuzzles.com\/images\/puzzles2021\/210619-TomTomCagePairs-OneTwoPunch.png\" \/>\n<meta name=\"author\" content=\"Grandmaster Puzzles\" \/>\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=\"Grandmaster Puzzles\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2021\\\/06\\\/tomtom-cage-pairs-by-dan-katz\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2021\\\/06\\\/tomtom-cage-pairs-by-dan-katz\\\/\"},\"author\":{\"name\":\"Grandmaster Puzzles\",\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/#\\\/schema\\\/person\\\/e71ab706a4c2ba19288b4a6f7535cc45\"},\"headline\":\"TomTom (Cage Pairs) by Dan Katz\",\"datePublished\":\"2021-06-19T16:00:22+00:00\",\"dateModified\":\"2021-07-04T20:39:45+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2021\\\/06\\\/tomtom-cage-pairs-by-dan-katz\\\/\"},\"wordCount\":188,\"commentCount\":3,\"image\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2021\\\/06\\\/tomtom-cage-pairs-by-dan-katz\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.gmpuzzles.com\\\/images\\\/puzzles2021\\\/210619-TomTomCagePairs-OneTwoPunch.png\",\"keywords\":[\"tomtom\",\"fri\\\/sat\",\"variation\"],\"articleSection\":[\"TomTom\",\"Puzzle\",\"Variation\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2021\\\/06\\\/tomtom-cage-pairs-by-dan-katz\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2021\\\/06\\\/tomtom-cage-pairs-by-dan-katz\\\/\",\"url\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2021\\\/06\\\/tomtom-cage-pairs-by-dan-katz\\\/\",\"name\":\"TomTom (Cage Pairs) by Dan Katz - 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