Home Archive 2025-08-31

Pips Answer for Sunday, August 31, 2025

Complete NYT Pips puzzle solution with interactive board and expert analysis.

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Solution & Analysis

Complete answers and solving insights for 2025-08-31

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NYT Pips easy answer for 2025-08-31

Complete answer for 2025-08-31 (Easy)

I approached the August 31st Pips set by Ian Livengood and Rodolfo Kurchan with my usual strategy: find the anchors first. In the Easy puzzle, the 'Sum 10' region at [2,1] and [2,2] was my immediate target. Looking at my available dominoes, I saw the [5,6] and [5,2].

To hit a 10 with just two cells, I needed two 5s or a 4 and a 6. The solution path revealed itself once I placed the [5,2] and [5,6] tiles so their 5s sat in those sum cells. Moving to the

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NYT Pips medium answer for 2025-08-31

Complete answer for 2025-08-31 (Medium)

Medium puzzle, the 'Greater than 6' and 'Greater than 4' constraints acted as the walls of the maze.

I knew the [1,6] and [5,4] tiles had to be the workhorses there. The 'Equals' region at [2,0] and [2,1] meant those two cells had to be identical, which narrowed down my placement of the [2,1] tile significantly.

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NYT Pips hard answer for 2025-08-31

Complete answer for 2025-08-31 (Hard)

Finally, the Hard puzzle was a beautiful challenge. I started with the 'Sum 0' regions at [0,6] and [6,2]. These are gifts because they have to be the 0-pip sides of tiles like [1,0] or [4,0].

Then I tackled the massive 'Sum 24' constraint across four cells. To get to 24 with four cells, you need an average of 6 per cell. This essentially forced the [6,6] and other high-value pips like the 6 from [4,6] or [5,6] into that specific area. Once the high numbers were locked in, the 'Sum 5' and 'Sum 4' regions fell into place like a zipper closing up.

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What I Learned

This puzzle set really reinforced how 'Empty' cells and 'Sum 0' cells are the most powerful starting points. They act as fixed constants that dictate where the zero-value ends of dominoes must go. I also learned a lot about the 'Sum 24' pattern in a 4-cell region.

In a game where the highest pip is 6, a sum of 24 is the maximum possible value for 4 cells (6+6+6+6). This is a 'maximum constraint' that leaves zero room for error, making it much easier to solve than a smaller sum like 12 which has dozens of combinations. I also found the 'Equals' region spanning across different dominoes to be a clever way to link the movement of the entire board together.

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Frequently Asked Questions

What does an 'Empty' region mean in Pips?

An 'Empty' region means those specific grid coordinates do not contain any pips, but they are still part of a domino. You must place a tile there so that its blank side (if it has one) or a zero-pip side aligns with that spot, or the puzzle rules might define it as a void space depending on the specific layout.

How do you handle 'Greater than' targets like in the Medium puzzle?

When you see a target like 'Greater than 6' for two cells, you should immediately look for your highest-value dominoes. In this case, combinations like 3+4, 5+2, or 6+1 are your starting points. It's usually a hint to keep your low-value tiles like [1,0] or [2,1] far away from those regions.

Why is the 'Sum 24' in the Hard puzzle so important?

It is a bottleneck. Because 24 is the highest possible sum for 4 cells (4 cells times 6 pips), it forces every single cell in that region to be a 6. This tells you exactly where the [6,6] tile and the 6-ends of other tiles must be placed, which helps clear out the rest of the board.

What is the best way to start a Hard Pips puzzle?

Always look for the extremes. Sums that are very high (like 24) or very low (like 0 or 4) limit the mathematical possibilities. Once you fill those in, the remaining dominoes have fewer places to go, and the logic becomes much clearer.

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