Archive · Pips #22
Pips #22 (October 17, 2026): the three boards and their solutions
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Pips #22 is day 22 of Puzzlune Pips: three domino boards for Saturday, October 17, 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 #22 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 0–0, 2–0, 2–2, 1–1, 1–6: 15 pips over 10 cells. The 2 sum regions ask for 8 pips across 5 cells, so the remaining 5 cells share the other 7. 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 |
|---|---|---|
| = | 3 | all pips equal |
| = | 2 | all pips equal |
| 0 | 2 | adds up to 0 (average 0.0 per cell) |
| 8 | 3 | adds up to 8 (average 2.7 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: 0–0 down column 2, rows 1–2; 2–0 across row 3, columns 4–5; 2–2 down column 1, rows 2–3; 1–1 across row 3, columns 2–3; 1–6 across row 2, columns 3–4.
Medium: 5×4 board, 7 dominoes, 5 regions
The dominoes are 1–5, 0–0, 1–3, 2–1, 4–1, 4–4, 5–5: 36 pips over 14 cells. The 3 sum regions ask for 14 pips across 9 cells, so the remaining 5 cells share the other 22. 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 |
|---|---|---|
| 8 | 4 | adds up to 8 (average 2.0 per cell) |
| 3 | 2 | adds up to 3 (average 1.5 per cell) |
| = | 3 | all pips equal |
| 3 | 3 | adds up to 3 (average 1.0 per cell) |
| <13 | 2 | total below 13 |
Medium board: the solution
Pip counts per cell; colours mark the regions, the small label is the region's rule.
Domino by domino: 1–5 down column 4, rows 1–2; 0–0 down column 5, rows 2–3; 1–3 across row 4, columns 4–5; 2–1 across row 3, columns 3–4; 4–1 across row 2, columns 2–3; 4–4 across row 3, columns 1–2; 5–5 across row 4, columns 1–2.
Hard: 6×5 board, 10 dominoes, 8 regions
The dominoes are 4–4, 0–5, 4–6, 4–2, 6–5, 6–1, 1–1, 1–2, 0–3, 0–0: 55 pips over 20 cells. The 5 sum regions ask for 27 pips across 11 cells, so the remaining 9 cells share the other 28. 2 regions need every pip the same, which only doubles or matching halves of different dominoes can supply. 1 region needs all pips different. This board accepts 8 valid arrangements; one is shown below.
| Region | Cells | Rule |
|---|---|---|
| ≠ | 3 | all pips different |
| = | 3 | all pips equal |
| 6 | 3 | adds up to 6 (average 2.0 per cell) |
| 3 | 2 | adds up to 3 (average 1.5 per cell) |
| 10 | 2 | adds up to 10 (average 5.0 per cell) |
| = | 3 | all pips equal |
| 3 | 2 | adds up to 3 (average 1.5 per cell) |
| 5 | 2 | adds up to 5 (average 2.5 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 down column 5, rows 1–2; 0–5 down column 6, rows 2–3; 4–6 down column 4, rows 2–3; 4–2 down column 5, rows 3–4; 6–5 down column 2, rows 4–5; 6–1 across row 5, columns 4–5; 1–1 down column 1, rows 1–2; 1–2 down column 1, rows 3–4; 0–3 across row 3, columns 2–3; 0–0 across row 4, columns 3–4.
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