Archive · Pips #36

Pips #36 (October 31, 2026): the three boards and their solutions

Easy, Medium and Hard from Saturday, October 31, 2026. Play them first; each board's answer is folded below. Replays don't affect your streak.

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Pips #36 is day 36 of Puzzlune Pips: three domino boards for Saturday, October 31, 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 8×4 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 #36 in numbers

Easy5×3 · 5 dominoes · 4 regions
Medium5×4 · 7 dominoes · 4 regions
Hard8×4 · 10 dominoes · 7 regions

Easy: 5×3 board, 5 dominoes, 4 regions

The dominoes are 6–6, 0–0, 3–3, 6–3, 2–4: 33 pips over 10 cells. The 3 sum regions ask for 33 pips across 8 cells, so the remaining 2 cells share the other 0. 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.

RegionCellsRule
62adds up to 6 (average 3.0 per cell)
113adds up to 11 (average 3.7 per cell)
163adds up to 16 (average 5.3 per cell)
=2all 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: 6–6 down column 5, rows 1–2; 0–0 across row 3, columns 4–5; 3–3 down column 1, rows 2–3; 6–3 across row 3, columns 2–3; 2–4 across row 2, columns 3–4.

Medium: 5×4 board, 7 dominoes, 4 regions

The dominoes are 3–3, 1–1, 1–3, 4–4, 1–6, 1–0, 0–3: 31 pips over 14 cells. The 3 sum regions ask for 19 pips across 10 cells, so the remaining 4 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.

RegionCellsRule
124adds up to 12 (average 3.0 per cell)
74adds up to 7 (average 1.8 per cell)
=4all pips equal
02adds up to 0 (average 0.0 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: 3–3 across row 3, columns 4–5; 1–1 across row 4, columns 1–2; 1–3 across row 4, columns 3–4; 4–4 across row 3, columns 2–3; 1–6 across row 2, columns 1–2; 1–0 across row 1, columns 2–3; 0–3 down column 4, rows 1–2.

Hard: 8×4 board, 10 dominoes, 7 regions

The dominoes are 6–0, 2–1, 4–4, 1–1, 2–6, 2–5, 3–3, 1–3, 3–4, 1–6: 58 pips over 20 cells. The 3 sum regions ask for 19 pips across 7 cells, so the remaining 13 cells share the other 39. 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.

RegionCellsRule
≠3all pips different
<104total below 10
42adds up to 4 (average 2.0 per cell)
=3all pips equal
123adds up to 12 (average 4.0 per cell)
=3all pips equal
32adds up to 3 (average 1.5 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: 6–0 across row 4, columns 7–8; 2–1 across row 2, columns 1–2; 4–4 across row 3, columns 2–3; 1–1 down column 7, rows 1–2; 2–6 across row 3, columns 6–7; 2–5 across row 2, columns 5–6; 3–3 across row 4, columns 5–6; 1–3 across row 3, columns 4–5; 3–4 down column 3, rows 1–2; 1–6 down column 4, rows 1–2.

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