Archive · Pips #17
Pips #17 (October 12, 2026): the three boards and their solutions
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Pips #17 is day 17 of Puzzlune Pips: three domino boards for Monday, October 12, 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 #17 in numbers
| Easy | 5×3 · 5 dominoes · 4 regions |
| Medium | 5×4 · 7 dominoes · 5 regions |
| Hard | 6×5 · 10 dominoes · 8 regions |
Easy: 5×3 board, 5 dominoes, 4 regions
The dominoes are 4–0, 5–5, 3–3, 4–3, 5–3: 35 pips over 10 cells. The 3 sum regions ask for 20 pips across 7 cells, so the remaining 3 cells share the other 15. 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 |
|---|---|---|
| 6 | 2 | adds up to 6 (average 3.0 per cell) |
| 10 | 3 | adds up to 10 (average 3.3 per cell) |
| = | 3 | all pips equal |
| 4 | 2 | adds up to 4 (average 2.0 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: 4–0 across row 1, columns 4–5; 5–5 down column 3, rows 1–2; 3–3 across row 2, columns 1–2; 4–3 across row 3, columns 2–3; 5–3 down column 4, rows 2–3.
Medium: 5×4 board, 7 dominoes, 5 regions
The dominoes are 3–3, 3–0, 3–2, 5–4, 1–0, 4–4, 0–0: 32 pips over 14 cells. The 3 sum regions ask for 11 pips across 8 cells, so the remaining 6 cells share the other 21. 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 |
|---|---|---|
| = | 4 | all pips equal |
| 0 | 3 | adds up to 0 (average 0.0 per cell) |
| 10 | 3 | adds up to 10 (average 3.3 per cell) |
| 1 | 2 | adds up to 1 (average 0.5 per cell) |
| <10 | 2 | total below 10 |
Medium board: the solution
Pip counts per cell; colours mark the regions, the small label is the region's rule.
Domino by domino: 3–3 down column 5, rows 1–2; 0–3 across row 3, columns 3–4; 2–3 across row 2, columns 3–4; 5–4 across row 1, columns 2–3; 0–1 across row 4, columns 2–3; 4–4 across row 2, columns 1–2; 0–0 across row 3, columns 1–2.
Hard: 6×5 board, 10 dominoes, 8 regions
The dominoes are 4–4, 0–0, 1–6, 2–6, 3–0, 1–1, 2–2, 6–3, 2–3, 6–6: 58 pips over 20 cells. The 5 sum regions ask for 45 pips across 12 cells, so the remaining 8 cells share the other 13. 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 |
|---|---|---|
| <4 | 2 | total below 4 |
| 12 | 2 | adds up to 12 (average 6.0 per cell) |
| = | 3 | all pips equal |
| 6 | 3 | adds up to 6 (average 2.0 per cell) |
| >8 | 3 | total above 8 |
| 13 | 3 | adds up to 13 (average 4.3 per cell) |
| 5 | 2 | adds up to 5 (average 2.5 per cell) |
| 9 | 2 | adds up to 9 (average 4.5 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: 4–4 across row 2, columns 1–2; 0–0 across row 4, columns 5–6; 1–6 across row 5, columns 4–5; 2–6 down column 3, rows 4–5; 3–0 down column 4, rows 3–4; 1–1 down column 5, rows 2–3; 2–2 across row 4, columns 1–2; 3–6 across row 3, columns 2–3; 2–3 across row 2, columns 3–4; 6–6 across row 1, columns 3–4.
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