2026-06-27
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2026-07-04
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Full breakdown using the Case file format — patch placements, tiling analysis, and strategy notes.
Overview
LinkedIn Patches #102 is the LinkedIn Patches daily for June 27, 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 6 clues on a 8×8 grid — each maps to one non-overlapping patch.
6 rectangles tile the 8×8 grid (64 cells): clue 1 → 8×2, clue 2 → 4×3, clue 3 → 4×2, clue 4 → 4×1, clue 5 → 8×1, clue 6 → 4×4. No overlap, every clue covered exactly once.
Analysis
Case file LinkedIn Patches #102: 8×8 tiling puzzle, 6 clue exhibits, area range 4–16 cells per patch. Full partition: 6 rectangles tile the 8×8 grid (64 cells): clue 1 → 8×2, clue 2 → 4×3, clue 3 → 4×2, clue 4 → 4×1, clue 5 → 8×1, clue 6 → 4×4. No overlap, every clue covered exactly once. Pattern tag: large-anchor tiling.
Board spotlight: One or more clues demand large rectangles — lock those anchors first because they consume the most territory and constrain where every smaller patch can fit. With 6 of 6 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, 8×2 at Row 1, column 1. The clue shows area 16, so its patch must cover exactly 16 cells (8×2 = 16). Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 2: clue 2, 4×3 at Row 1, column 6. The clue shows area 12, so its patch must cover exactly 12 cells (4×3 = 12). 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 3: clue 3, 4×2 at Row 1, column 4. The clue shows area 8, so its patch must cover exactly 8 cells (4×2 = 8). 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 4: clue 4, 4×1 at Row 5, column 4. 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). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 5: clue 5, 8×1 at Row 1, column 3. The clue shows area 8, so its patch must cover exactly 8 cells (8×1 = 8). The shape icon requires a tall rectangle (taller than wide). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 6: clue 6, 4×4 at Row 5, column 5. The clue shows area 16, so its patch must cover exactly 16 cells (4×4 = 16). 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 16, so this patch must cover exactly 16 cells (8×2 = 16).
After placing this 16-cell rectangle, 48 cells remain for 5 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 16-cell rectangle, 48 cells remain for 5 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). The shape icon requires a tall rectangle (taller than wide).
After placing this 12-cell rectangle, 36 cells remain for 4 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 12-cell rectangle, 36 cells remain for 4 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). The shape icon requires a tall rectangle (taller than wide).
After placing this 8-cell rectangle, 28 cells remain for 3 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 8-cell rectangle, 28 cells remain for 3 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, 24 cells remain for 2 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 4-cell rectangle, 24 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 (8×1 = 8). The shape icon requires a tall rectangle (taller than wide).
After placing this 8-cell rectangle, 16 cells remain for 1 clue. Each leftover region must still tile without overlap.
Solving note
After placing this 8-cell rectangle, 16 cells remain for 1 clue. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 16, so this patch must cover exactly 16 cells (4×4 = 16).
This 16-cell patch completes the grid — all 64 cells are now assigned to exactly one clue.
Solving note
This 16-cell patch completes the grid — all 64 cells are now assigned to exactly one clue.
Verification
Evidence chain supports 6 rectangles tile the 8×8 grid (64 cells): clue 1 → 8×2, clue 2 → 4×3, clue 3 → 4×2, clue 4 → 4×1, clue 5 → 8×1, clue 6 → 4×4. 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 6 non-overlapping rectangles — one per clue, matching area and shape hints. Patch 1: draw 8×2 at Row 1, column 1 for the clue at Row 2, column 1. The clue shows area 16, so this patch must cover exactly 16 cells (8×2 = 16). Patch 2: draw 4×3 at Row 1, column 6 for the clue at Row 3, column 6. The clue shows area 12, so this patch must cover exactly 12 cells (4×3 = 12). Patch 3: draw 4×2 at Row 1, column 4 for the clue at Row 4, column 5. The clue shows area 8, so this patch must cover exactly 8 cells (4×2 = 8). Patch 4: draw 4×1 at Row 5, column 4 for the clue at Row 5, column 4. The clue shows area 4, so this patch must cover exactly 4 cells (4×1 = 4). Patch 5: draw 8×1 at Row 1, column 3 for the clue at Row 6, column 3. The clue shows area 8, so this patch must cover exactly 8 cells (8×1 = 8). Patch 6: draw 4×4 at Row 5, column 5 for the clue at Row 7, column 8. The clue shows area 16, so this patch must cover exactly 16 cells (4×4 = 16). Complete: 64 cells covered, 6 valid patches — full tiling verified.
Pattern
One or more clues demand large rectangles — lock those anchors first because they consume the most territory and constrain where every smaller patch can fit.
Learn more in Patches Puzzle Strategies →Takeaways
6 rectangles tile the 8×8 grid (64 cells): clue 1 → 8×2, clue 2 → 4×3, clue 3 → 4×2, clue 4 → 4×1, clue 5 → 8×1, clue 6 → 4×4. No overlap, every clue covered exactly once.
Any 16-cell candidate that overlaps an existing patch or leaves an odd-sized gap is eliminated — the grid must partition exactly.
One or more clues demand large rectangles — lock those anchors first because they consume the most territory and constrain where every smaller patch can fit.
Solution
This 8×8 board has 6 clues, 6 of which specify a required area. Shape hints include any, tall proportions. 6 rectangles tile the 8×8 grid (64 cells): clue 1 → 8×2, clue 2 → 4×3, clue 3 → 4×2, clue 4 → 4×1, clue 5 → 8×1, clue 6 → 4×4. No overlap, every clue covered exactly once. One or more clues demand large rectangles — lock those anchors first because they consume the most territory and constrain where every smaller patch can fit. Use the Solution tab for a patch-by-patch reveal with live board updates, or the Solved board tab for the complete tiling.