Archive · Pips #25
Pips #25 (October 20, 2026): the three boards and their solutions
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Pips #25 is day 25 of Puzzlune Pips: three domino boards for Tuesday, October 20, 2026, Easy with 5 dominoes on a 5×3 grid, Medium with 7 dominoes on a 6×3 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 #25 in numbers
| Easy | 5×3 · 5 dominoes · 4 regions |
| Medium | 6×3 · 7 dominoes · 5 regions |
| Hard | 6×5 · 10 dominoes · 8 regions |
Easy: 5×3 board, 5 dominoes, 4 regions
The dominoes are 5–5, 1–5, 4–4, 5–2, 4–1: 36 pips over 10 cells. The 2 sum regions ask for 13 pips across 5 cells, so the remaining 5 cells share the other 23. 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 |
|---|---|---|
| 6 | 3 | adds up to 6 (average 2.0 per cell) |
| = | 3 | all pips equal |
| 7 | 2 | adds up to 7 (average 3.5 per cell) |
| = | 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 down column 4, rows 2–3; 1–5 down column 5, rows 1–2; 4–4 across row 3, columns 1–2; 5–2 down column 2, rows 1–2; 4–1 across row 1, columns 3–4.
Medium: 6×3 board, 7 dominoes, 5 regions
The dominoes are 3–6, 0–0, 6–6, 6–0, 4–4, 2–1, 6–4: 48 pips over 14 cells. The 3 sum regions ask for 38 pips across 9 cells, so the remaining 5 cells share the other 10. 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 |
|---|---|---|
| >9 | 2 | total above 9 |
| 13 | 3 | adds up to 13 (average 4.3 per cell) |
| 15 | 3 | adds up to 15 (average 5.0 per cell) |
| 10 | 3 | adds up to 10 (average 3.3 per cell) |
| = | 3 | all pips equal |
Medium board: the solution
Pip counts per cell; colours mark the regions, the small label is the region's rule.
Domino by domino: 3–6 across row 1, columns 2–3; 0–0 across row 2, columns 5–6; 6–6 across row 3, columns 4–5; 6–0 across row 1, columns 4–5; 4–4 down column 1, rows 2–3; 2–1 across row 3, columns 2–3; 6–4 across row 2, columns 3–4.
Hard: 6×5 board, 10 dominoes, 8 regions
The dominoes are 0–0, 1–1, 4–4, 2–3, 0–1, 4–3, 6–3, 2–2, 0–4, 0–5: 45 pips over 20 cells. The 6 sum regions ask for 31 pips across 15 cells, so the remaining 5 cells share the other 14. 1 region needs 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 |
|---|---|---|
| = | 2 | all pips equal |
| >12 | 3 | total above 12 |
| 2 | 2 | adds up to 2 (average 1.0 per cell) |
| 6 | 3 | adds up to 6 (average 2.0 per cell) |
| 9 | 2 | adds up to 9 (average 4.5 per cell) |
| 0 | 2 | adds up to 0 (average 0.0 per cell) |
| 8 | 3 | adds up to 8 (average 2.7 per cell) |
| 6 | 3 | adds up to 6 (average 2.0 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: 0–0 across row 5, columns 5–6; 1–1 across row 1, columns 1–2; 4–4 across row 2, columns 2–3; 2–3 across row 5, columns 2–3; 1–0 down column 4, rows 4–5; 4–3 across row 3, columns 4–5; 6–3 down column 3, rows 3–4; 2–2 down column 1, rows 4–5; 0–4 down column 4, rows 1–2; 0–5 down column 5, rows 1–2.
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