Archive · Pips #34
Pips #34 (October 29, 2026): the three boards and their solutions
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Pips #34 is day 34 of Puzzlune Pips: three domino boards for Thursday, October 29, 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 #34 in numbers
| Easy | 5×3 · 5 dominoes · 4 regions |
| Medium | 5×4 · 7 dominoes · 4 regions |
| Hard | 6×5 · 10 dominoes · 7 regions |
Easy: 5×3 board, 5 dominoes, 4 regions
The dominoes are 2–1, 0–0, 2–2, 2–4, 0–3: 16 pips over 10 cells. The 2 sum regions ask for 12 pips across 5 cells, so the remaining 5 cells share the other 4. 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 |
|---|---|---|
| 7 | 2 | adds up to 7 (average 3.5 per cell) |
| = | 2 | all pips equal |
| = | 3 | all pips equal |
| 5 | 3 | adds up to 5 (average 1.7 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: 2–1 across row 1, columns 2–3; 0–0 across row 1, columns 4–5; 2–2 across row 3, columns 1–2; 2–4 down column 3, rows 2–3; 0–3 down column 4, rows 2–3.
Medium: 5×4 board, 7 dominoes, 4 regions
The dominoes are 1–1, 2–2, 5–5, 0–1, 0–2, 2–6, 2–1: 30 pips over 14 cells. The 1 sum region ask for 18 pips across 4 cells, so the remaining 10 cells share the other 12. 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 |
|---|---|---|
| 18 | 4 | adds up to 18 (average 4.5 per cell) |
| = | 3 | all pips equal |
| <4 | 3 | total below 4 |
| >7 | 4 | total above 7 |
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 across row 4, columns 4–5; 2–2 down column 2, rows 3–4; 5–5 down column 4, rows 1–2; 0–1 down column 1, rows 2–3; 0–2 across row 1, columns 1–2; 2–6 across row 2, columns 2–3; 2–1 across row 3, columns 3–4.
Hard: 6×5 board, 10 dominoes, 7 regions
The dominoes are 5–5, 2–6, 1–1, 4–4, 6–6, 5–4, 6–5, 6–4, 2–2, 2–4: 80 pips over 20 cells. The 4 sum regions ask for 33 pips across 10 cells, so the remaining 10 cells share the other 47. 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 10 valid arrangements; one is shown below.
| Region | Cells | Rule |
|---|---|---|
| = | 3 | all pips equal |
| 12 | 3 | adds up to 12 (average 4.0 per cell) |
| 4 | 2 | adds up to 4 (average 2.0 per cell) |
| = | 4 | all pips equal |
| 9 | 3 | adds up to 9 (average 3.0 per cell) |
| 8 | 2 | adds up to 8 (average 4.0 per cell) |
| ≠ | 3 | all pips different |
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 across row 1, columns 4–5; 2–6 across row 4, columns 5–6; 1–1 across row 5, columns 4–5; 4–4 across row 2, columns 1–2; 6–6 down column 1, rows 3–4; 4–5 across row 2, columns 3–4; 5–6 down column 4, rows 3–4; 6–4 across row 3, columns 2–3; 2–2 across row 1, columns 1–2; 4–2 down column 3, rows 4–5.
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