Archive · Pips #42
Pips #42 (November 6, 2026): the three boards and their solutions
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Pips #42 is day 42 of Puzzlune Pips: three domino boards for Friday, November 6, 2026, Easy with 5 dominoes on a 5×3 grid, Medium with 7 dominoes on a 5×4 grid, Hard with 10 dominoes on a 6×5 grid. Every region on a board carries a rule, shown as a badge: a number means the pips inside add up to it, “=” means every pip is the same, “≠” means all different, and “<” or “>” compare the region's total to a number. Below, each board's regions are listed with what their rule demands, followed by the full placement.
Pips #42 in numbers
| Easy | 5×3 · 5 dominoes · 4 regions |
| Medium | 5×4 · 7 dominoes · 4 regions |
| Hard | 6×5 · 10 dominoes · 8 regions |
Easy: 5×3 board, 5 dominoes, 4 regions
The dominoes are 5–5, 2–1, 6–5, 6–0, 3–3: 36 pips over 10 cells. The 2 sum regions ask for 15 pips across 5 cells, so the remaining 5 cells share the other 21. 2 regions need every pip the same, which only doubles or matching halves of different dominoes can supply. This board accepts 4 valid arrangements; one is shown below.
| Region | Cells | Rule |
|---|---|---|
| 3 | 2 | adds up to 3 (average 1.5 per cell) |
| 12 | 3 | adds up to 12 (average 4.0 per cell) |
| = | 3 | all pips equal |
| = | 2 | all pips equal |
Easy board: the solution
Pip counts per cell; colours mark the regions, the small label is the region's rule.
Domino by domino: 5–5 across row 3, columns 2–3; 2–1 across row 1, columns 1–2; 6–5 down column 4, rows 2–3; 6–0 down column 5, rows 1–2; 3–3 across row 1, columns 3–4.
Medium: 5×4 board, 7 dominoes, 4 regions
The dominoes are 2–2, 2–1, 2–3, 3–5, 5–5, 3–3, 4–4: 44 pips over 14 cells. The 3 sum regions ask for 35 pips across 11 cells, so the remaining 3 cells share the other 9. 1 region needs every pip the same, which only doubles or matching halves of different dominoes can supply. This board accepts 2 valid arrangements; one is shown below.
| Region | Cells | Rule |
|---|---|---|
| 18 | 4 | adds up to 18 (average 4.5 per cell) |
| 7 | 3 | adds up to 7 (average 2.3 per cell) |
| = | 3 | all pips equal |
| 10 | 4 | adds up to 10 (average 2.5 per cell) |
Medium board: the solution
Pip counts per cell; colours mark the regions, the small label is the region's rule.
Domino by domino: 2–2 down column 1, rows 1–2; 2–1 across row 1, columns 4–5; 2–3 down column 5, rows 2–3; 3–5 down column 2, rows 2–3; 5–5 across row 2, columns 3–4; 3–3 down column 4, rows 3–4; 4–4 down column 3, rows 3–4.
Hard: 6×5 board, 10 dominoes, 8 regions
The dominoes are 1–2, 6–6, 2–3, 6–4, 3–6, 5–1, 2–4, 1–1, 0–5, 5–5: 68 pips over 20 cells. The 4 sum regions ask for 19 pips across 9 cells, so the remaining 11 cells share the other 49. 1 region needs every pip the same, which only doubles or matching halves of different dominoes can supply. This board accepts 4 valid arrangements; one is shown below.
| Region | Cells | Rule |
|---|---|---|
| 9 | 3 | adds up to 9 (average 3.0 per cell) |
| 5 | 2 | adds up to 5 (average 2.5 per cell) |
| 4 | 2 | adds up to 4 (average 2.0 per cell) |
| = | 4 | all pips equal |
| >14 | 3 | total above 14 |
| <6 | 2 | total below 6 |
| 1 | 2 | adds up to 1 (average 0.5 per cell) |
| <8 | 2 | total below 8 |
Hard board: the solution
Pip counts per cell; colours mark the regions, the small label is the region's rule.
Domino by domino: 1–2 down column 5, rows 1–2; 6–6 down column 4, rows 4–5; 2–3 across row 4, columns 5–6; 6–4 across row 3, columns 4–5; 3–6 across row 2, columns 3–4; 5–1 across row 1, columns 2–3; 2–4 down column 1, rows 1–2; 1–1 down column 2, rows 2–3; 0–5 down column 3, rows 3–4; 5–5 across row 4, columns 1–2.
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