Archive · Pips #30
Pips #30 (October 25, 2026): the three boards and their solutions
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Pips #30 is day 30 of Puzzlune Pips: three domino boards for Sunday, October 25, 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 #30 in numbers
| Easy | 5×3 · 5 dominoes · 4 regions |
| Medium | 5×4 · 7 dominoes · 5 regions |
| Hard | 6×5 · 10 dominoes · 7 regions |
Easy: 5×3 board, 5 dominoes, 4 regions
The dominoes are 5–2, 6–6, 6–3, 3–0, 5–0: 36 pips over 10 cells. The 2 sum regions ask for 12 pips across 5 cells, so the remaining 5 cells share the other 24. 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 |
|---|---|---|
| = | 2 | all pips equal |
| 5 | 3 | adds up to 5 (average 1.7 per cell) |
| = | 3 | all pips equal |
| 7 | 2 | adds up to 7 (average 3.5 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 1, columns 4–5; 6–6 down column 3, rows 1–2; 6–3 down column 4, rows 2–3; 0–3 across row 3, columns 2–3; 5–0 down column 1, rows 2–3.
Medium: 5×4 board, 7 dominoes, 5 regions
The dominoes are 3–5, 2–2, 0–5, 1–2, 3–1, 1–4, 6–6: 41 pips over 14 cells. The 3 sum regions ask for 32 pips across 7 cells, so the remaining 7 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 |
|---|---|---|
| 13 | 3 | adds up to 13 (average 4.3 per cell) |
| = | 3 | all pips equal |
| 9 | 2 | adds up to 9 (average 4.5 per cell) |
| 10 | 2 | adds up to 10 (average 5.0 per cell) |
| <8 | 4 | total below 8 |
Medium board: the solution
Pip counts per cell; colours mark the regions, the small label is the region's rule.
Domino by domino: 3–5 down column 1, rows 3–4; 2–2 down column 3, rows 1–2; 5–0 across row 2, columns 1–2; 2–1 across row 3, columns 2–3; 1–3 across row 2, columns 4–5; 1–4 down column 4, rows 3–4; 6–6 down column 5, rows 3–4.
Hard: 6×5 board, 10 dominoes, 7 regions
The dominoes are 5–5, 6–6, 4–3, 4–5, 0–1, 0–0, 6–5, 5–2, 3–6, 1–2: 69 pips over 20 cells. The 4 sum regions ask for 19 pips across 10 cells, so the remaining 10 cells share the other 50. 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 |
|---|---|---|
| >11 | 3 | total above 11 |
| 4 | 2 | adds up to 4 (average 2.0 per cell) |
| 6 | 3 | adds up to 6 (average 2.0 per cell) |
| = | 3 | all pips equal |
| 7 | 3 | adds up to 7 (average 2.3 per cell) |
| 2 | 2 | adds up to 2 (average 1.0 per cell) |
| = | 4 | all pips equal |
Hard board: the solution
Pip counts per cell; colours mark the regions, the small label is the region's rule.
Domino by domino: 5–5 down column 1, rows 4–5; 6–6 across row 1, columns 4–5; 4–3 across row 3, columns 5–6; 4–5 across row 4, columns 4–5; 0–1 across row 5, columns 3–4; 0–0 down column 1, rows 1–2; 6–5 across row 3, columns 1–2; 5–2 across row 4, columns 2–3; 3–6 across row 2, columns 3–4; 1–2 across row 3, columns 3–4.
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