I solve LinkedIn Patches #106 patch by patch on a 6×6 grid. 8 clues to satisfy, 4 with numbered areas. My tiling order: clue 1 (2×2) → clue 2 (2×1) → clue 3 (2×2) → clue 4 (1×5) → clue 5 (5×1) → clue 6 (2×2) → clue 7 (1×3) → clue 8 (3×3). I draw the tightest rectangles first and check that the remaining space can still partition cleanly before committing each shape.
Before the first drag I scan for the largest area clues and strict shape icons — on this board that means 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.
General Patches strategy on 6×6: 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.
I draw patch 1 next — 2×2 at Row 1, column 2. This patch covers 4 cells (2×2). The shape icon requires a square. After placing this 4-cell rectangle, 32 cells remain for 7 clues. Each leftover region must still tile without overlap.
I draw patch 2 next — 2×1 at Row 1, column 6. The clue shows area 2, so this patch must cover exactly 2 cells (2×1 = 2). The shape icon requires a tall rectangle (taller than wide). After placing this 2-cell rectangle, 30 cells remain for 6 clues. Each leftover region must still tile without overlap.
I draw patch 3 next — 2×2 at Row 2, column 4. This patch covers 4 cells (2×2). The shape icon allows any rectangle proportion. After placing this 4-cell rectangle, 26 cells remain for 5 clues. Each leftover region must still tile without overlap.
I draw patch 4 next — 1×5 at Row 3, column 6. The clue shows area 5, so this patch must cover exactly 5 cells (1×5 = 5). After placing this 5-cell rectangle, 21 cells remain for 4 clues. Each leftover region must still tile without overlap.
I draw patch 5 next — 5×1 at Row 4, column 1. The clue shows area 5, so this patch must cover exactly 5 cells (5×1 = 5). After placing this 5-cell rectangle, 16 cells remain for 3 clues. Each leftover region must still tile without overlap.
I draw patch 6 next — 2×2 at Row 5, column 3. This patch covers 4 cells (2×2). The shape icon allows any rectangle proportion. After placing this 4-cell rectangle, 12 cells remain for 2 clues. Each leftover region must still tile without overlap.
I draw patch 7 next — 1×3 at Row 6, column 1. The clue shows area 3, so this patch must cover exactly 3 cells (1×3 = 3). The shape icon requires a wide rectangle (wider than tall). After placing this 3-cell rectangle, 9 cells remain for 1 clue. Each leftover region must still tile without overlap.
I draw patch 8 next — 3×3 at Row 6, column 5. This patch covers 9 cells (3×3). The shape icon requires a square. This 9-cell patch completes the grid — all 36 cells are now assigned to exactly one clue.
Done — every cell colored, no overlaps, all clues satisfied. 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.