Archive · Pips #29
Pips #29 (October 24, 2026): the three boards and their solutions
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Pips #29 is day 29 of Puzzlune Pips: three domino boards for Saturday, October 24, 2026, Easy with 5 dominoes on a 4×4 grid, Medium with 7 dominoes on a 5×4 grid, Hard with 10 dominoes on a 7×4 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 #29 in numbers
| Easy | 4×4 · 5 dominoes · 3 regions |
| Medium | 5×4 · 7 dominoes · 4 regions |
| Hard | 7×4 · 10 dominoes · 8 regions |
Easy: 4×4 board, 5 dominoes, 3 regions
The dominoes are 5–2, 5–5, 6–4, 2–4, 4–4: 41 pips over 10 cells. The 2 sum regions ask for 25 pips across 6 cells, so the remaining 4 cells share the other 16. 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 |
|---|---|---|
| 7 | 2 | adds up to 7 (average 3.5 per cell) |
| 18 | 4 | adds up to 18 (average 4.5 per cell) |
| = | 4 | 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: 5–2 down column 2, rows 1–2; 5–5 down column 1, rows 3–4; 6–4 across row 3, columns 2–3; 2–4 across row 4, columns 2–3; 4–4 down column 4, rows 3–4.
Medium: 5×4 board, 7 dominoes, 4 regions
The dominoes are 6–5, 6–6, 2–6, 6–0, 0–1, 1–5, 4–2: 50 pips over 14 cells. The 2 sum regions ask for 23 pips across 7 cells, so the remaining 7 cells share the other 27. 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 |
| 18 | 4 | adds up to 18 (average 4.5 per cell) |
| <6 | 3 | total below 6 |
| 5 | 3 | adds up to 5 (average 1.7 per cell) |
Medium board: the solution
Pip counts per cell; colours mark the regions, the small label is the region's rule.
Domino by domino: 6–5 down column 5, rows 3–4; 6–6 down column 1, rows 3–4; 2–6 down column 2, rows 1–2; 6–0 across row 3, columns 2–3; 0–1 down column 3, rows 1–2; 1–5 across row 1, columns 4–5; 4–2 across row 2, columns 4–5.
Hard: 7×4 board, 10 dominoes, 8 regions
The dominoes are 2–2, 0–1, 0–5, 1–1, 1–2, 6–3, 5–6, 6–1, 5–4, 0–2: 53 pips over 20 cells. The 5 sum regions ask for 30 pips across 12 cells, so the remaining 8 cells share the other 23. This board accepts 8 valid arrangements; one is shown below.
| Region | Cells | Rule |
|---|---|---|
| 6 | 2 | adds up to 6 (average 3.0 per cell) |
| 6 | 2 | adds up to 6 (average 3.0 per cell) |
| <5 | 2 | total below 5 |
| 1 | 3 | adds up to 1 (average 0.3 per cell) |
| >16 | 3 | total above 16 |
| 10 | 3 | adds up to 10 (average 3.3 per cell) |
| <3 | 3 | total below 3 |
| 7 | 2 | adds up to 7 (average 3.5 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: 2–2 down column 2, rows 1–2; 0–1 across row 3, columns 1–2; 0–5 across row 4, columns 2–3; 1–1 down column 7, rows 1–2; 1–2 down column 3, rows 2–3; 6–3 down column 4, rows 2–3; 5–6 across row 1, columns 4–5; 6–1 across row 2, columns 5–6; 5–4 down column 6, rows 3–4; 0–2 down column 7, rows 3–4.
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