{"id":693,"date":"2025-12-18T17:01:34","date_gmt":"2025-12-18T04:01:34","guid":{"rendered":"https:\/\/thesudoku.com\/blog\/?page_id=693"},"modified":"2026-08-20T16:47:48","modified_gmt":"2026-08-20T04:47:48","slug":"unique-rectangle-type-3","status":"publish","type":"page","link":"https:\/\/thesudoku.com\/blog\/unique-rectangle-type-3\/","title":{"rendered":"Unique Rectangle Type 3"},"content":{"rendered":"\n<div class=\"wp-block-group content-wrapper has-base-background-color has-background has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\" style=\"min-height:90vh;margin-top:var(--wp--preset--spacing--40);margin-bottom:var(--wp--preset--spacing--40);padding-top:0;padding-bottom:0\">\n<div class=\"wp-block-group has-global-padding is-layout-constrained wp-container-core-group-is-layout-b5150c35 wp-block-group-is-layout-constrained\" style=\"padding-top:var(--wp--preset--spacing--40);padding-right:var(--wp--preset--spacing--40);padding-bottom:0;padding-left:var(--wp--preset--spacing--40)\">\n<p class=\"is-style-default\" style=\"font-size:clamp(14px, 0.875rem + ((1vw - 3.2px) * 0.392), 18px);font-style:normal;font-weight:700\"><a href=\"https:\/\/thesudoku.com\/blog\/sudoku-rules-normal\/\" data-type=\"page\" data-id=\"73\">&lt; <\/a><a href=\"https:\/\/thesudoku.com\/sudoku-rules-master\/\" data-type=\"page\" data-id=\"644\">Back<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-group has-global-padding is-layout-constrained wp-container-core-group-is-layout-8dd13e6d wp-block-group-is-layout-constrained\" style=\"padding-right:var(--wp--preset--spacing--60);padding-left:var(--wp--preset--spacing--60)\">\n<h1 class=\"wp-block-heading\" style=\"font-size:clamp(17.905px, 1.119rem + ((1vw - 3.2px) * 0.99), 28px);font-style:normal;font-weight:800\">How to Master Unique Rectangle Type 3 in Sudoku<\/h1>\n\n\n\n<p>When extra candidates spill into two corners of a rectangle in different combinations, simple elimination isn&#8217;t enough. The <strong>Unique Rectangle Type 3 technique<\/strong> solves this by combining the uniqueness rule with traditional subset strategies.<\/p>\n\n\n\n<p>This technique combines the Unique Rectangle with the \u201cNaked\u201d \\ \u201cHidden\u201d techniques.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:clamp(15.747px, 0.984rem + ((1vw - 3.2px) * 0.809), 24px);\"><strong>Identifying Unique Rectangle Type 3<\/strong><\/h2>\n\n\n\n<p>Look for four cells forming a rectangle across two 3&#215;3 blocks, two rows, and two columns:<\/p>\n\n\n\n<div class=\"wp-block-group has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\" style=\"padding-top:var(--wp--preset--spacing--20);padding-bottom:var(--wp--preset--spacing--20)\">\n<figure class=\"wp-block-image aligncenter size-full is-resized is-style-default\" style=\"margin-top:var(--wp--preset--spacing--30);margin-right:0;margin-bottom:0;margin-left:0\"><img loading=\"lazy\" decoding=\"async\" width=\"697\" height=\"697\" src=\"https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7893.png\" alt=\"Unique Rectangle type 3 - initial example\" class=\"wp-image-694\" style=\"object-fit:cover;width:349px;height:auto\" srcset=\"https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7893.png 697w, https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7893-300x300.png 300w, https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7893-150x150.png 150w\" sizes=\"auto, (max-width: 697px) 100vw, 697px\" \/><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" style=\"margin-top:var(--wp--preset--spacing--40);margin-bottom:var(--wp--preset--spacing--20)\"\/>\n<\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Two Pure Corner Cells:<\/strong> Contain strictly the base pair (1 and 5),<\/li>\n\n\n\n<li><strong>Two Modified Corner Cells:<\/strong> Contain the base pair plus extra candidates.<\/li>\n<\/ul>\n\n\n\n<p>If you look at the example you&#8217;ll see that two cells in the Unique Rectangle have extra candidates: 4, 6 and 6, 9.<\/p>\n\n\n\n<p>This means that the values 4, 6, and 9 are the candidates for these two cells.<\/p>\n\n\n\n<div class=\"wp-block-group has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\" style=\"padding-top:var(--wp--preset--spacing--20);padding-bottom:var(--wp--preset--spacing--20)\">\n<figure class=\"wp-block-image aligncenter size-full is-resized is-style-default\" style=\"margin-top:var(--wp--preset--spacing--30);margin-right:0;margin-bottom:0;margin-left:0\"><img loading=\"lazy\" decoding=\"async\" width=\"697\" height=\"697\" src=\"https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7894.png\" alt=\"Unique Rectangle type 3 - finding the hidden triple\" class=\"wp-image-695\" style=\"object-fit:cover;width:349px;height:auto\" srcset=\"https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7894.png 697w, https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7894-300x300.png 300w, https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7894-150x150.png 150w\" sizes=\"auto, (max-width: 697px) 100vw, 697px\" \/><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" style=\"margin-top:var(--wp--preset--spacing--40);margin-bottom:var(--wp--preset--spacing--20)\"\/>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:clamp(15.747px, 0.984rem + ((1vw - 3.2px) * 0.809), 24px);\"><strong>The Logic: Forming a Naked Subset<\/strong><\/h2>\n\n\n\n<p>To prevent a Deadly Pattern, the extra candidates in those two modified corners must act as a single pseudo-cell unit for the grid. Because these two corners share a line (a row or a column), their extra candidates join forces with other empty cells along that same line.<\/p>\n\n\n\n<p><strong>This forms a Naked Triplet pattern when combined with the two cells in the same column that also contain the values 4, 6, and 9.<\/strong><\/p>\n\n\n\n<p>Because the combined pool of candidates across these aligned cells is restricted to exactly three digits (<code>4<\/code>, <code>6<\/code>, and <code>9<\/code>), those numbers are mathematically locked into those specific spots.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:clamp(15.747px, 0.984rem + ((1vw - 3.2px) * 0.809), 24px);\"><strong>The Elimination Rule<\/strong><\/h2>\n\n\n\n<p>Once the Naked Subset (Pair, Triple, or Quad) is established along the shared line or within the shared 3&#215;3 block, you can treat it like a standard subset elimination.<\/p>\n\n\n\n<p><strong>Therefore, 4, 6, and 9 cannot be placed in any other cell in the column.<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\" style=\"padding-top:var(--wp--preset--spacing--20);padding-bottom:var(--wp--preset--spacing--20)\">\n<figure class=\"wp-block-image aligncenter size-full is-resized is-style-default\" style=\"margin-top:var(--wp--preset--spacing--30);margin-right:0;margin-bottom:0;margin-left:0\"><img loading=\"lazy\" decoding=\"async\" width=\"697\" height=\"697\" src=\"https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7895.png\" alt=\"Unique Rectangle type 3 - Result after applying the technique\" class=\"wp-image-696\" style=\"object-fit:cover;width:349px;height:auto\" srcset=\"https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7895.png 697w, https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7895-300x300.png 300w, https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7895-150x150.png 150w\" sizes=\"auto, (max-width: 697px) 100vw, 697px\" \/><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" style=\"margin-top:var(--wp--preset--spacing--40);margin-bottom:var(--wp--preset--spacing--20)\"\/>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udccd Steps to Clean the Grid:<\/h3>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li><strong>Identify the Extra Candidate Pool:<\/strong> Combine the non-base candidates from the two modified corners of your Unique Rectangle.<\/li>\n\n\n\n<li><strong>Find the Matching Subset:<\/strong> Scan the shared row, column, or block for additional cells that contain only those same extra digits.<\/li>\n\n\n\n<li><strong>Purge the Line:<\/strong> Delete those subset numbers (<code>4<\/code>, <code>6<\/code>, and <code>9<\/code>) from the pencil notes of every <em>other<\/em> cell in that line or block.<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:clamp(15.747px, 0.984rem + ((1vw - 3.2px) * 0.809), 24px);\"><strong>Mastering Advanced Sudoku Syntheses<\/strong><\/h2>\n\n\n\n<p>Unique Rectangle Type 3 is one of the most satisfying techniques to execute because it bridges two completely different solving philosophies. Recognizing how a potential Deadly Pattern converts into a Naked Subset lets you clear locked notes across entire rows and columns in one move.<\/p>\n\n\n\n<p>Ready to combine your solving techniques? Put your logic to the test right now on our <strong><a href=\"https:\/\/thesudoku.com\/expert-sudoku\">Sudoku Puzzles<\/a><\/strong>, keep your pencil notes active, and look for those powerful subset intersections!<\/p>\n<\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" style=\"margin-top:var(--wp--preset--spacing--20);margin-bottom:var(--wp--preset--spacing--20)\"\/>\n\n\n\n<div class=\"wp-block-group alignwide is-content-justification-space-between is-nowrap is-layout-flex wp-container-core-group-is-layout-7f2ee5f7 wp-block-group-is-layout-flex\" style=\"padding-top:0;padding-right:var(--wp--preset--spacing--60);padding-bottom:var(--wp--preset--spacing--60);padding-left:var(--wp--preset--spacing--60)\">\n<p style=\"font-size:clamp(14px, 0.875rem + ((1vw - 3.2px) * 0.392), 18px);font-style:normal;font-weight:600\"><a href=\"https:\/\/thesudoku.com\/blog\/hidden-pairs\/\" data-type=\"page\" data-id=\"447\">&lt; <\/a><a href=\"https:\/\/thesudoku.com\/unique-rectangle-type-2\/\" data-type=\"page\" data-id=\"613\">Unique Rectangle Type 2<\/a><\/p>\n\n\n\n<p style=\"font-size:clamp(14px, 0.875rem + ((1vw - 3.2px) * 0.392), 18px);font-style:normal;font-weight:600\"><a href=\"https:\/\/thesudoku.com\/unique-rectangle-type-4\/\" data-type=\"page\" data-id=\"698\">Unique Rectangle Type 4&gt;<\/a><\/p>\n<\/div>\n<\/div>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>&lt; Back How to Master Unique Rectangle Type 3 in Sudoku When extra candidates spill into two corners of a rectangle in different combinations, simple elimination isn&#8217;t enough. The Unique Rectangle Type 3 technique solves this by combining the uniqueness rule with traditional subset strategies. This technique combines the Unique Rectangle with the \u201cNaked\u201d \\ [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page-no-title","meta":{"footnotes":""},"categories":[116],"tags":[],"class_list":["post-693","page","type-page","status-publish","hentry","category-master-techniques"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Unique Rectangle Type 3 - TheSudoku.com<\/title>\n<meta name=\"description\" content=\"Unique Rectangle Type 3 Sudoku technique: combine a unique rectangle with a naked subset to eliminate candidates. Advanced pattern with step-by-step guide.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/thesudoku.com\/blog\/unique-rectangle-type-3\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Unique Rectangle Type 3 - TheSudoku.com\" \/>\n<meta property=\"og:description\" content=\"Unique Rectangle Type 3 Sudoku technique: combine a unique rectangle with a naked subset to eliminate candidates. Advanced pattern with step-by-step guide.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/thesudoku.com\/blog\/unique-rectangle-type-3\/\" \/>\n<meta property=\"og:site_name\" content=\"TheSudoku.com\" \/>\n<meta property=\"article:modified_time\" content=\"2026-08-20T04:47:48+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7893.png\" \/>\n\t<meta property=\"og:image:width\" content=\"697\" \/>\n\t<meta property=\"og:image:height\" content=\"697\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"3 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/thesudoku.com\\\/blog\\\/unique-rectangle-type-3\\\/\",\"url\":\"https:\\\/\\\/thesudoku.com\\\/blog\\\/unique-rectangle-type-3\\\/\",\"name\":\"Unique Rectangle Type 3 - TheSudoku.com\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/thesudoku.com\\\/blog\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/thesudoku.com\\\/blog\\\/unique-rectangle-type-3\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/thesudoku.com\\\/blog\\\/unique-rectangle-type-3\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/thesudoku.com\\\/blog\\\/wp-content\\\/uploads\\\/2025\\\/12\\\/Group-7893.png\",\"datePublished\":\"2025-12-18T04:01:34+00:00\",\"dateModified\":\"2026-08-20T04:47:48+00:00\",\"description\":\"Unique Rectangle Type 3 Sudoku technique: combine a unique rectangle with a naked subset to eliminate candidates. Advanced pattern with step-by-step guide.\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/thesudoku.com\\\/blog\\\/unique-rectangle-type-3\\\/#breadcrumb\"},\"inLanguage\":\"en-NZ\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/thesudoku.com\\\/blog\\\/unique-rectangle-type-3\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-NZ\",\"@id\":\"https:\\\/\\\/thesudoku.com\\\/blog\\\/unique-rectangle-type-3\\\/#primaryimage\",\"url\":\"https:\\\/\\\/thesudoku.com\\\/blog\\\/wp-content\\\/uploads\\\/2025\\\/12\\\/Group-7893.png\",\"contentUrl\":\"https:\\\/\\\/thesudoku.com\\\/blog\\\/wp-content\\\/uploads\\\/2025\\\/12\\\/Group-7893.png\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/thesudoku.com\\\/blog\\\/unique-rectangle-type-3\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/thesudoku.com\\\/blog\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Unique Rectangle Type 3\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/thesudoku.com\\\/blog\\\/#website\",\"url\":\"https:\\\/\\\/thesudoku.com\\\/blog\\\/\",\"name\":\"TheSudoku.com\",\"description\":\"\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/thesudoku.com\\\/blog\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-NZ\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Unique Rectangle Type 3 - TheSudoku.com","description":"Unique Rectangle Type 3 Sudoku technique: combine a unique rectangle with a naked subset to eliminate candidates. Advanced pattern with step-by-step guide.","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:\/\/thesudoku.com\/blog\/unique-rectangle-type-3\/","og_locale":"en_US","og_type":"article","og_title":"Unique Rectangle Type 3 - TheSudoku.com","og_description":"Unique Rectangle Type 3 Sudoku technique: combine a unique rectangle with a naked subset to eliminate candidates. Advanced pattern with step-by-step guide.","og_url":"https:\/\/thesudoku.com\/blog\/unique-rectangle-type-3\/","og_site_name":"TheSudoku.com","article_modified_time":"2026-08-20T04:47:48+00:00","og_image":[{"width":697,"height":697,"url":"https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7893.png","type":"image\/png"}],"twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"3 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/thesudoku.com\/blog\/unique-rectangle-type-3\/","url":"https:\/\/thesudoku.com\/blog\/unique-rectangle-type-3\/","name":"Unique Rectangle Type 3 - TheSudoku.com","isPartOf":{"@id":"https:\/\/thesudoku.com\/blog\/#website"},"primaryImageOfPage":{"@id":"https:\/\/thesudoku.com\/blog\/unique-rectangle-type-3\/#primaryimage"},"image":{"@id":"https:\/\/thesudoku.com\/blog\/unique-rectangle-type-3\/#primaryimage"},"thumbnailUrl":"https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7893.png","datePublished":"2025-12-18T04:01:34+00:00","dateModified":"2026-08-20T04:47:48+00:00","description":"Unique Rectangle Type 3 Sudoku technique: combine a unique rectangle with a naked subset to eliminate candidates. Advanced pattern with step-by-step guide.","breadcrumb":{"@id":"https:\/\/thesudoku.com\/blog\/unique-rectangle-type-3\/#breadcrumb"},"inLanguage":"en-NZ","potentialAction":[{"@type":"ReadAction","target":["https:\/\/thesudoku.com\/blog\/unique-rectangle-type-3\/"]}]},{"@type":"ImageObject","inLanguage":"en-NZ","@id":"https:\/\/thesudoku.com\/blog\/unique-rectangle-type-3\/#primaryimage","url":"https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7893.png","contentUrl":"https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7893.png"},{"@type":"BreadcrumbList","@id":"https:\/\/thesudoku.com\/blog\/unique-rectangle-type-3\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/thesudoku.com\/blog\/"},{"@type":"ListItem","position":2,"name":"Unique Rectangle Type 3"}]},{"@type":"WebSite","@id":"https:\/\/thesudoku.com\/blog\/#website","url":"https:\/\/thesudoku.com\/blog\/","name":"TheSudoku.com","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/thesudoku.com\/blog\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-NZ"}]}},"_links":{"self":[{"href":"https:\/\/thesudoku.com\/blog\/wp-json\/wp\/v2\/pages\/693","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/thesudoku.com\/blog\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/thesudoku.com\/blog\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/thesudoku.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/thesudoku.com\/blog\/wp-json\/wp\/v2\/comments?post=693"}],"version-history":[{"count":5,"href":"https:\/\/thesudoku.com\/blog\/wp-json\/wp\/v2\/pages\/693\/revisions"}],"predecessor-version":[{"id":1364,"href":"https:\/\/thesudoku.com\/blog\/wp-json\/wp\/v2\/pages\/693\/revisions\/1364"}],"wp:attachment":[{"href":"https:\/\/thesudoku.com\/blog\/wp-json\/wp\/v2\/media?parent=693"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/thesudoku.com\/blog\/wp-json\/wp\/v2\/categories?post=693"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/thesudoku.com\/blog\/wp-json\/wp\/v2\/tags?post=693"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}