{"id":698,"date":"2025-12-18T17:03:54","date_gmt":"2025-12-18T04:03:54","guid":{"rendered":"https:\/\/thesudoku.com\/blog\/?page_id=698"},"modified":"2026-08-20T16:48:13","modified_gmt":"2026-08-20T04:48:13","slug":"unique-rectangle-type-4","status":"publish","type":"page","link":"https:\/\/thesudoku.com\/blog\/unique-rectangle-type-4\/","title":{"rendered":"Unique Rectangle Type 4"},"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);\"><strong>How to Master Unique Rectangle Type 4 in Sudoku<\/strong><\/h1>\n\n\n\n<p>When extra candidates fill two corners of a rectangle, you don&#8217;t always need to track those extra numbers. The <strong>Unique Rectangle Type 4 technique<\/strong> flips the script: instead of focusing on the extra digits, it analyzes the strong links of the base digits themselves across the unit.<\/p>\n\n\n\n<p>This Unique Rectangle technique takes other candidates within the unit into account.<\/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 4<\/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=\"698\" height=\"697\" src=\"https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7905.png\" alt=\"Unique Rectangle type 4 - initial example\" class=\"wp-image-699\" style=\"object-fit:cover;width:349px;height:auto\" srcset=\"https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7905.png 698w, https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7905-300x300.png 300w, https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7905-150x150.png 150w\" sizes=\"auto, (max-width: 698px) 100vw, 698px\" \/><\/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 (5 and 6).<\/li>\n\n\n\n<li><strong>Two Modified Corner Cells:<\/strong> Contain the base pair plus one or more extra candidates.<\/li>\n<\/ul>\n\n\n\n<p>We look for additional candidates in two Unique Rectangle cells again, but this time we ignore the extra candidates and focus on the UR candidates themselves.<\/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=\"698\" height=\"697\" src=\"https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7906.png\" alt=\"Unique Rectangle type 4 - Check unique candidates\" class=\"wp-image-700\" style=\"object-fit:cover;width:349px;height:auto\" srcset=\"https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7906.png 698w, https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7906-300x300.png 300w, https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7906-150x150.png 150w\" sizes=\"auto, (max-width: 698px) 100vw, 698px\" \/><\/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 Behind the Strong Link<\/strong><\/h2>\n\n\n\n<p>To use Type 4, inspect the shared unit (row, column, or 3&#215;3 block) that holds both modified corners. Look at your two base candidates (5 and 6) across that unit:<\/p>\n\n\n\n<p>If one of the UR candidates is no longer possible in any other cell of a unit that contains both cells with the extra candidates, the other UR candidate can be eliminated from those UR cells.<\/p>\n\n\n\n<p>The candidate 6 cannot be placed anywhere else inside the block, so we cannot delete it from our Unique Rectangle 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=\"698\" height=\"697\" src=\"https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7907.png\" alt=\"Unique Rectangle type 4 - candidate '6' can not be eliminated\" class=\"wp-image-701\" style=\"object-fit:cover;width:349px;height:auto\" srcset=\"https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7907.png 698w, https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7907-300x300.png 300w, https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7907-150x150.png 150w\" sizes=\"auto, (max-width: 698px) 100vw, 698px\" \/><\/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<p>Because 6 is forced to land in one of those two rectangle corners inside the block, 6 is mathematically locked there.<\/p>\n\n\n\n<p>Now, if those two cells <em>also<\/em> turned out to hold the digit 5, both cells would collapse into the base pair (5 and 6), instantly completing a 4-corner <strong>Deadly Pattern<\/strong> and breaking the puzzle&#8217;s uniqueness!<\/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>To prevent the Deadly Pattern from forming, the second base candidate must be banished from the modified corners.<\/p>\n\n\n\n<p>This means that we need to delete 5.<\/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=\"698\" height=\"697\" src=\"https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7908.png\" alt=\"Sudoku grid after applying Unique Rectangle type 4 technique\" class=\"wp-image-702\" style=\"object-fit:cover;width:349px;height:auto\" srcset=\"https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7908.png 698w, https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7908-300x300.png 300w, https:\/\/thesudoku.com\/blog\/wp-content\/uploads\/2025\/12\/Group-7908-150x150.png 150w\" sizes=\"auto, (max-width: 698px) 100vw, 698px\" \/><\/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>Find the Locked Base Digit:<\/strong> Identify which of the two base candidates (e.g., <code>6<\/code>) appears <em>only<\/em> within the rectangle&#8217;s corners for that shared row, column, or block.<\/li>\n\n\n\n<li><strong>Protect the Uniqueness:<\/strong> Recognize that this locked digit forces the removal of its partner base candidate (<code>5<\/code>) from those same two corners.<\/li>\n\n\n\n<li><strong>Erase from Pencil Notes:<\/strong> Delete candidate <code>5<\/code> from the modified corner cells. (Note: any <em>extra<\/em> non-base candidates in those cells remain untouched!).<\/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>Master Advanced Sudoku Logic<\/strong><\/h2>\n\n\n\n<p>Unique Rectangle Type 4 demonstrates how a constraint in the surrounding grid can be used to clear base candidates inside a pattern. Spotting these locked digits lets you dismantle potential deadly loops effortlessly and opens up clear paths to victory.<\/p>\n\n\n\n<p><strong>Ready to test your scanning skills?<\/strong> Put your logic to the work right now on our <strong><a href=\"https:\/\/thesudoku.com\/expert-sudoku\">Web Sudoku<\/a> <\/strong>puzzles, activate full pencil notes, and look for those locked base candidates!<\/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-3\/\" data-type=\"page\" data-id=\"613\">Unique Rectangle Type <\/a>3<\/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\/bi-value-universal-grave\/\" data-type=\"page\" data-id=\"706\">Bi-value Universal Grave<\/a><a href=\"https:\/\/thesudoku.com\/blog\/hidden-triple\/\" data-type=\"page\" data-id=\"447\">&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 4 in Sudoku When extra candidates fill two corners of a rectangle, you don&#8217;t always need to track those extra numbers. The Unique Rectangle Type 4 technique flips the script: instead of focusing on the extra digits, it analyzes the strong links of the base digits themselves [&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-698","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 4 - TheSudoku.com<\/title>\n<meta name=\"description\" content=\"Unique Rectangle Type 4 Sudoku technique: use a locked pair inside a unique rectangle to eliminate candidates. 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