Archive · Pips #37
Pips #37 (November 1, 2026): the three boards and their solutions
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Pips #37 is day 37 of Puzzlune Pips: three domino boards for Sunday, November 1, 2026, Easy with 5 dominoes on a 4×4 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 #37 in numbers
| Easy | 4×4 · 5 dominoes · 4 regions |
| Medium | 5×4 · 7 dominoes · 5 regions |
| Hard | 6×5 · 10 dominoes · 8 regions |
Easy: 4×4 board, 5 dominoes, 4 regions
The dominoes are 5–2, 6–6, 2–2, 2–1, 1–4: 31 pips over 10 cells. The 2 sum regions ask for 23 pips across 5 cells, so the remaining 5 cells share the other 8. 2 regions need 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 |
|---|---|---|
| = | 2 | all pips equal |
| = | 3 | all pips equal |
| 12 | 2 | adds up to 12 (average 6.0 per cell) |
| 11 | 3 | adds up to 11 (average 3.7 per cell) |
Easy board: the solution
Pip counts per cell; colours mark the regions, the small label is the region's rule.
Domino by domino: 5–2 across row 3, columns 3–4; 6–6 down column 3, rows 1–2; 2–2 down column 2, rows 2–3; 2–1 down column 1, rows 3–4; 1–4 across row 4, columns 2–3.
Medium: 5×4 board, 7 dominoes, 5 regions
The dominoes are 1–1, 5–6, 6–6, 3–3, 2–2, 5–5, 5–0: 50 pips over 14 cells. The 4 sum regions ask for 40 pips across 12 cells, so the remaining 2 cells share the other 10. 1 region needs every pip the same, which only doubles or matching halves of different dominoes can supply. The arrangement below is the unique answer.
| Region | Cells | Rule |
|---|---|---|
| 7 | 3 | adds up to 7 (average 2.3 per cell) |
| 4 | 3 | adds up to 4 (average 1.3 per cell) |
| = | 2 | all pips equal |
| 9 | 2 | adds up to 9 (average 4.5 per cell) |
| 20 | 4 | adds up to 20 (average 5.0 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: 1–1 down column 5, rows 1–2; 6–5 across row 1, columns 3–4; 6–6 down column 4, rows 3–4; 3–3 down column 3, rows 2–3; 2–2 down column 2, rows 2–3; 5–5 down column 1, rows 3–4; 0–5 across row 4, columns 2–3.
Hard: 6×5 board, 10 dominoes, 8 regions
The dominoes are 3–3, 4–5, 3–4, 3–0, 5–5, 0–5, 6–6, 3–2, 4–1, 4–2: 68 pips over 20 cells. The 5 sum regions ask for 41 pips across 12 cells, so the remaining 8 cells share the other 27. 2 regions need every pip the same, which only doubles or matching halves of different dominoes can supply. This board accepts 8 valid arrangements; one is shown below.
| Region | Cells | Rule |
|---|---|---|
| 9 | 2 | adds up to 9 (average 4.5 per cell) |
| = | 3 | all pips equal |
| = | 3 | all pips equal |
| 8 | 2 | adds up to 8 (average 4.0 per cell) |
| 6 | 3 | adds up to 6 (average 2.0 per cell) |
| 10 | 3 | adds up to 10 (average 3.3 per cell) |
| >0 | 2 | total above 0 |
| 8 | 2 | adds up to 8 (average 4.0 per cell) |
Hard board: the solution
Pip counts per cell; colours mark the regions, the small label is the region's rule.
Domino by domino: 3–3 across row 5, columns 1–2; 4–5 across row 1, columns 2–3; 3–4 down column 6, rows 1–2; 3–0 down column 5, rows 2–3; 5–5 across row 5, columns 5–6; 0–5 across row 4, columns 4–5; 6–6 across row 3, columns 3–4; 3–2 across row 4, columns 2–3; 4–1 across row 2, columns 1–2; 4–2 across row 3, columns 1–2.
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