2026-07-12
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2026-06-29
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Full breakdown using the Case file format — patch placements, tiling analysis, and strategy notes.
Overview
LinkedIn Patches #117 is the LinkedIn Patches daily for July 12, 2026. Patches is LinkedIn's tiling puzzle: partition a 8×8 grid into non-overlapping rectangles — one per clue — matching area and shape hints until every cell is covered. This page includes the live board, a solved-board view, and a step-by-step Solution walkthrough. Difficulty: Hard. Estimated solve time: 6–10 min.
Answer
This board has 10 clues on a 8×8 grid — each maps to one non-overlapping patch.
10 rectangles tile the 8×8 grid (64 cells): clue 1 → 2×3, clue 2 → 4×1, clue 3 → 4×3, clue 4 → 4×1, clue 5 → 2×3, clue 6 → 1×4, clue 7 → 3×2, clue 8 → 4×2, clue 9 → 2×4, clue 10 → 1×6. No overlap, every clue covered exactly once.
Analysis
Case file LinkedIn Patches #117: 8×8 tiling puzzle, 10 clue exhibits, area range 4–12 cells per patch. Full partition: 10 rectangles tile the 8×8 grid (64 cells): clue 1 → 2×3, clue 2 → 4×1, clue 3 → 4×3, clue 4 → 4×1, clue 5 → 2×3, clue 6 → 1×4, clue 7 → 3×2, clue 8 → 4×2, clue 9 → 2×4, clue 10 → 1×6. No overlap, every clue covered exactly once. Pattern tag: area-forced layout.
Board spotlight: Many clues show a numbered area — when area and shape combine, the rectangle size is often mathematically fixed before placement. With 8 of 10 clues showing a numbered area, dimension math often pins down rectangle size before you choose a position on the grid.
General Patches strategy on 8×8: rectangles cannot overlap, every cell must belong to exactly one patch, and each patch must contain precisely one clue at its anchor cell. When a clue shows area 12 and a tall icon, only a few height×width pairs are legal — list them before drawing. After each placement, mentally partition the leftover white space: if any region cannot host its remaining clues, back up and try the next candidate.
Exhibit 1: clue 1, 2×3 at Row 1, column 2. The clue shows area 6, so its patch must cover exactly 6 cells (2×3 = 6). Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 2: clue 2, 4×1 at Row 1, column 1. The clue shows area 4, so its patch must cover exactly 4 cells (4×1 = 4). Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 3: clue 3, 4×3 at Row 1, column 6. The clue shows area 12, so its patch must cover exactly 12 cells (4×3 = 12). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 4: clue 4, 4×1 at Row 1, column 5. The clue shows area 4, so its patch must cover exactly 4 cells (4×1 = 4). The shape icon requires a tall rectangle (taller than wide). Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 5: clue 5, 2×3 at Row 3, column 2. The shape icon requires a wide rectangle (wider than tall). Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 6: clue 6, 1×4 at Row 5, column 5. The shape icon requires a wide rectangle (wider than tall). Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 7: clue 7, 3×2 at Row 5, column 3. The clue shows area 6, so its patch must cover exactly 6 cells (3×2 = 6). The shape icon requires a tall rectangle (taller than wide). Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 8: clue 8, 4×2 at Row 5, column 1. The clue shows area 8, so its patch must cover exactly 8 cells (4×2 = 8). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 9: clue 9, 2×4 at Row 6, column 5. The clue shows area 8, so its patch must cover exactly 8 cells (2×4 = 8). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 10: clue 10, 1×6 at Row 8, column 3. The clue shows area 6, so its patch must cover exactly 6 cells (1×6 = 6). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Verdict: tiling set is consistent with every clue constraint. Case closed.
Patches
Shape & area
The clue shows area 6, so this patch must cover exactly 6 cells (2×3 = 6).
After placing this 6-cell rectangle, 58 cells remain for 9 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 6-cell rectangle, 58 cells remain for 9 clues. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 4, so this patch must cover exactly 4 cells (4×1 = 4).
After placing this 4-cell rectangle, 54 cells remain for 8 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 4-cell rectangle, 54 cells remain for 8 clues. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 12, so this patch must cover exactly 12 cells (4×3 = 12).
After placing this 12-cell rectangle, 42 cells remain for 7 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 12-cell rectangle, 42 cells remain for 7 clues. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 4, so this patch must cover exactly 4 cells (4×1 = 4). The shape icon requires a tall rectangle (taller than wide).
After placing this 4-cell rectangle, 38 cells remain for 6 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 4-cell rectangle, 38 cells remain for 6 clues. Each leftover region must still tile without overlap.
Shape & area
This patch covers 6 cells (2×3). The shape icon requires a wide rectangle (wider than tall).
After placing this 6-cell rectangle, 32 cells remain for 5 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 6-cell rectangle, 32 cells remain for 5 clues. Each leftover region must still tile without overlap.
Shape & area
This patch covers 4 cells (1×4). The shape icon requires a wide rectangle (wider than tall).
After placing this 4-cell rectangle, 28 cells remain for 4 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 4-cell rectangle, 28 cells remain for 4 clues. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 6, so this patch must cover exactly 6 cells (3×2 = 6). The shape icon requires a tall rectangle (taller than wide).
After placing this 6-cell rectangle, 22 cells remain for 3 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 6-cell rectangle, 22 cells remain for 3 clues. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 8, so this patch must cover exactly 8 cells (4×2 = 8).
After placing this 8-cell rectangle, 14 cells remain for 2 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 8-cell rectangle, 14 cells remain for 2 clues. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 8, so this patch must cover exactly 8 cells (2×4 = 8).
After placing this 8-cell rectangle, 6 cells remain for 1 clue. Each leftover region must still tile without overlap.
Solving note
After placing this 8-cell rectangle, 6 cells remain for 1 clue. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 6, so this patch must cover exactly 6 cells (1×6 = 6).
This 6-cell patch completes the grid — all 64 cells are now assigned to exactly one clue.
Solving note
This 6-cell patch completes the grid — all 64 cells are now assigned to exactly one clue.
Verification
Evidence chain supports 10 rectangles tile the 8×8 grid (64 cells): clue 1 → 2×3, clue 2 → 4×1, clue 3 → 4×3, clue 4 → 4×1, clue 5 → 2×3, clue 6 → 1×4, clue 7 → 3×2, clue 8 → 4×2, clue 9 → 2×4, clue 10 → 1×6. No overlap, every clue covered exactly once. Alternative rectangles around any single clue would either double-cover cells or leave holes that cannot host the remaining clues.
Solve path
Phase 1: Partition the 8×8 grid into 10 non-overlapping rectangles — one per clue, matching area and shape hints. Patch 1: draw 2×3 at Row 1, column 2 for the clue at Row 1, column 3. The clue shows area 6, so this patch must cover exactly 6 cells (2×3 = 6). Patch 2: draw 4×1 at Row 1, column 1 for the clue at Row 2, column 1. The clue shows area 4, so this patch must cover exactly 4 cells (4×1 = 4). Patch 3: draw 4×3 at Row 1, column 6 for the clue at Row 2, column 8. The clue shows area 12, so this patch must cover exactly 12 cells (4×3 = 12). Patch 4: draw 4×1 at Row 1, column 5 for the clue at Row 3, column 5. The clue shows area 4, so this patch must cover exactly 4 cells (4×1 = 4). Patch 5: draw 2×3 at Row 3, column 2 for the clue at Row 4, column 2. This patch covers 6 cells (2×3). Patch 6: draw 1×4 at Row 5, column 5 for the clue at Row 5, column 7. This patch covers 4 cells (1×4). Patch 7: draw 3×2 at Row 5, column 3 for the clue at Row 6, column 4. The clue shows area 6, so this patch must cover exactly 6 cells (3×2 = 6). Patch 8: draw 4×2 at Row 5, column 1 for the clue at Row 7, column 1. The clue shows area 8, so this patch must cover exactly 8 cells (4×2 = 8). Patch 9: draw 2×4 at Row 6, column 5 for the clue at Row 7, column 8. The clue shows area 8, so this patch must cover exactly 8 cells (2×4 = 8). Patch 10: draw 1×6 at Row 8, column 3 for the clue at Row 8, column 6. The clue shows area 6, so this patch must cover exactly 6 cells (1×6 = 6). Complete: 64 cells covered, 10 valid patches — full tiling verified.
Pattern
Many clues show a numbered area — when area and shape combine, the rectangle size is often mathematically fixed before placement.
Learn more in Patches Puzzle Strategies →Takeaways
10 rectangles tile the 8×8 grid (64 cells): clue 1 → 2×3, clue 2 → 4×1, clue 3 → 4×3, clue 4 → 4×1, clue 5 → 2×3, clue 6 → 1×4, clue 7 → 3×2, clue 8 → 4×2, clue 9 → 2×4, clue 10 → 1×6. No overlap, every clue covered exactly once.
Any 12-cell candidate that overlaps an existing patch or leaves an odd-sized gap is eliminated — the grid must partition exactly.
Many clues show a numbered area — when area and shape combine, the rectangle size is often mathematically fixed before placement.
Solution
This 8×8 board has 10 clues, 8 of which specify a required area. Shape hints include any, tall, wide proportions. 10 rectangles tile the 8×8 grid (64 cells): clue 1 → 2×3, clue 2 → 4×1, clue 3 → 4×3, clue 4 → 4×1, clue 5 → 2×3, clue 6 → 1×4, clue 7 → 3×2, clue 8 → 4×2, clue 9 → 2×4, clue 10 → 1×6. No overlap, every clue covered exactly once. Many clues show a numbered area — when area and shape combine, the rectangle size is often mathematically fixed before placement. Use the Solution tab for a patch-by-patch reveal with live board updates, or the Solved board tab for the complete tiling.