Archive · Pips #40

Pips #40 (November 4, 2026): the three boards and their solutions

Easy, Medium and Hard from Wednesday, November 4, 2026. Play them first; each board's answer is folded below. Replays don't affect your streak.

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Pips #40 is day 40 of Puzzlune Pips: three domino boards for Wednesday, November 4, 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 #40 in numbers

Easy5×3 · 5 dominoes · 4 regions
Medium5×4 · 7 dominoes · 4 regions
Hard6×5 · 10 dominoes · 8 regions

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

The dominoes are 6–1, 0–0, 5–5, 1–5, 3–3: 29 pips over 10 cells. The 2 sum regions ask for 8 pips across 5 cells, so the remaining 5 cells share the other 21. 2 regions need 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.

RegionCellsRule
72adds up to 7 (average 3.5 per cell)
13adds up to 1 (average 0.3 per cell)
=2all pips equal
=3all 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: 6–1 across row 1, columns 4–5; 0–0 down column 2, rows 1–2; 5–5 down column 3, rows 1–2; 1–5 across row 3, columns 2–3; 3–3 down column 1, rows 2–3.

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

The dominoes are 5–3, 5–5, 4–4, 3–3, 4–0, 0–0, 5–0: 41 pips over 14 cells. The 2 sum regions ask for 31 pips across 7 cells, so the remaining 7 cells share the other 10. 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
=4all pips equal
164adds up to 16 (average 4.0 per cell)
153adds up to 15 (average 5.0 per cell)
<133total 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: 5–3 down column 2, rows 1–2; 5–5 across row 1, columns 4–5; 4–4 down column 1, rows 2–3; 3–3 across row 4, columns 1–2; 4–0 across row 3, columns 2–3; 0–0 across row 4, columns 3–4; 5–0 down column 4, rows 2–3.

Hard: 6×5 board, 10 dominoes, 8 regions

The dominoes are 0–0, 6–2, 4–4, 3–3, 0–4, 6–5, 1–0, 1–6, 1–1, 5–5: 57 pips over 20 cells. The 5 sum regions ask for 41 pips across 12 cells, so the remaining 8 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.

RegionCellsRule
<53total below 5
122adds up to 12 (average 6.0 per cell)
<43total below 4
22adds up to 2 (average 1.0 per cell)
=2all pips equal
42adds up to 4 (average 2.0 per cell)
113adds up to 11 (average 3.7 per cell)
123adds up to 12 (average 4.0 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: 0–0 across row 2, columns 5–6; 6–2 across row 1, columns 4–5; 4–4 across row 2, columns 1–2; 3–3 across row 1, columns 2–3; 0–4 down column 3, rows 4–5; 6–5 across row 4, columns 1–2; 1–0 across row 3, columns 2–3; 1–6 across row 2, columns 3–4; 1–1 down column 5, rows 3–4; 5–5 down column 4, rows 3–4.

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