Skyscrapers vs Futoshiki: Which Puzzle Should You Try Next?

Skyscrapers and Futoshiki are both Latin-square number puzzles — fill a grid so every row and column holds each digit exactly once. The difference is the extra constraint: Skyscrapers gives you building-count clues around the outside edge, while Futoshiki places greater-than and less-than signs between adjacent cells inside the grid. Neither requires arithmetic. Skyscrapers suits solvers who like working inward from boundary information; Futoshiki suits those who prefer following constraint chains step by step.

What Is a Skyscrapers Puzzle?

Imagine a city block viewed from above. Each cell in the grid holds a skyscraper, and the number in that cell is its height — the taller the number, the taller the building. Your job is to arrange the heights so no two buildings in the same row or column share the same height. That is the Latin-square rule — the same foundation used in Sudoku and Futoshiki.

The twist that makes Skyscrapers distinct: small numbers printed around the border of the grid. According to GMPuzzles, each border clue counts how many buildings you can see from that edge looking straight into the grid. Taller buildings block shorter ones behind them, so a clue of 1 means the tallest building is right at the edge, blocking everything else. A clue equal to the grid size means the buildings are arranged shortest-to-tallest, visible all the way back.

Two rules govern every Skyscrapers puzzle:

Rule 1 — Latin-square constraint. Each number from 1 to N appears exactly once in every row and exactly once in every column. In a 4×4 puzzle, every row and column holds the digits 1, 2, 3, and 4. No repeats, no skips.

Rule 2 — Visibility clues. The number at each end of a row or column counts how many buildings are visible from that edge. Taller buildings block shorter ones behind them. The clue is a count, not a height value.

The puzzle also appears under the name Towers in Simon Tatham’s free Portable Puzzle Collection, where the rules are identical. The puzzle traces back to Japan and gained international attention at the first World Puzzle Championship held in New York in 1992.

If you want a deeper guide to the strategies — how to use a clue of N to anchor the tallest building, or how to eliminate candidates row by row — the full Skyscrapers solving guide walks through it step by step.

What Is a Futoshiki Puzzle?

Futoshiki (不等式, futōshiki) is a logic puzzle from Japan, developed by Tamaki Seto in 2001. According to Wikipedia’s article on Futoshiki, the name means “inequality” in Japanese, and the puzzle is also known as More or Less and Unequal.

The setup looks familiar at first: a square grid, typically 4×4 to 7×7, with some cells pre-filled and the rest blank. You fill in the blanks so that each digit from 1 to N appears exactly once in every row and column — the same Latin-square rule as Skyscrapers, Sudoku, and KenKen.

What sets Futoshiki apart is a second constraint placed inside the grid itself. Between certain pairs of adjacent cells, a greater-than (>) or less-than (<) sign sits in the border. That sign is not decoration — it is a hard rule. If the sign between cell A and cell B reads A > B, then whatever digit ends up in A must be larger than the digit in B.

Two rules govern every Futoshiki puzzle:

Rule 1 — Latin-square constraint. Each digit from 1 to N appears exactly once in every row and exactly once in every column.

Rule 2 — Inequality constraint. Every > or < sign between two adjacent cells must be satisfied by the final digits. Signs appear between horizontal or vertical neighbors only — never diagonal. The open side of the symbol always faces the larger value, so the sign acts as an arrow pointing at the smaller number.

No arithmetic is involved. You are comparing values, not computing sums. If you spot a chain of three cells all linked by greater-than signs — say A > B > C — you know A holds the largest of those three values and C holds the smallest. That kind of chain reading is the core skill in Futoshiki.

The full Futoshiki solving guide covers the extreme-value rule, chain endpoints, and how to combine inequality logic with standard row-column elimination.

How Are Skyscrapers and Futoshiki Different?

Both puzzles start from the same foundation: a Latin-square grid. That shared structure means any habit you have from Sudoku — scanning rows, eliminating candidates, spotting the one cell a digit can go — carries directly into both. That is where the similarities end.

Here is how the two puzzles compare across six areas:

Where the extra constraints live. In Skyscrapers, all the puzzle-specific information sits outside the grid — the visibility clues along each edge. Once you look inward, the grid itself looks like a blank Latin square. In Futoshiki, the extra constraints are embedded inside the grid, sitting between adjacent cells. You cannot miss them as you read through the cells.

What kind of reasoning they demand. Skyscrapers is primarily about lines of sight. You are asking: “if I place height 4 in this column position, how many buildings become visible or hidden?” It involves holding a mental picture of a row or column and tracing what can and cannot be seen from a given vantage point. Futoshiki is primarily about sequential ordering. A chain of inequalities tells you about relative size: A > B > C means A is the largest of the three, C is the smallest. Reading and extending those chains is the central move.

How quickly the first cell falls. In Skyscrapers, the easiest entry points are extreme clues: a clue of 1 means the tallest building sits at that edge, and a clue equal to N means the buildings ascend away from you. In Futoshiki, the easiest entry points are inequality chains at the maximum or minimum — a cell that must be greater than two neighbors cannot hold 1, and a cell that must be less than two neighbors cannot hold N. Both puzzles have clear starting moves once you know what to look for.

Grid and clue count. Skyscrapers gives you up to 4N border clues on an N×N grid — one per edge-end — but not all clues are always given; some edges may be blank. Futoshiki gives you inequality signs between selected adjacent cell pairs, which can range from sparse (easy puzzles) to dense (harder puzzles).

The learning curve. Most new Skyscrapers solvers stumble at the same point: mistaking the border clue for the height value. Once that distinction clicks — the clue counts visible buildings, it does not name a height — the rest of the logic tends to fall into place within a puzzle or two. Most new Futoshiki solvers stumble at a different point: treating the inequality signs as optional hints rather than hard constraints. Once you commit to satisfying every sign before placing a digit, the puzzle becomes much more tractable. Both puzzles have a short adjustment period, and both reward the habit of working with what must be true rather than what might be true.

Interaction with other puzzles you know. If you regularly solve Sudoku, both Skyscrapers and Futoshiki will feel like familiar territory at the row-and-column level. Skyscrapers adds a layer that has no close Sudoku parallel — line-of-sight reasoning is genuinely new. Futoshiki adds a layer that feels closer to KenKen or Kakuro in spirit: an extra constraint embedded inside the grid that you must satisfy alongside the Latin-square rule. Solvers who have tried KenKen and liked the cage logic but found the arithmetic tiresome often take to Futoshiki quickly, since the constraint is purely directional.

Which Puzzle Should You Try First?

There is no objectively harder puzzle between these two — difficulty depends more on grid size and how many clues are given than on the puzzle type itself. A 4×4 Futoshiki with many signs is easier than a 7×7 Skyscrapers with minimal clues, and vice versa. That said, the two puzzles suit different thinking styles, and picking the right match makes the first few solves more satisfying.

Try Skyscrapers if:

• You liked Sudoku’s structure but want something that feels more spatial.
• You enjoy puzzles where a single well-placed deduction unlocks a chain of cells.
• You find the idea of counting sight lines — rather than following arrows — more intuitive.
• You have solved Latin-square puzzles before and want a fresh angle on row-column elimination.

Try Futoshiki if:

• You prefer puzzles where every constraint is visible inside the grid rather than around it.
• You find directional reading natural — following a > or < chain from endpoint to endpoint.
• You want a puzzle that scales smoothly from 4×4 (beginner) to 7×7 (challenging) with the same rule set.
• You have tried KenKen or Kakuro and want to drop the arithmetic while keeping the constraint logic.

One practical note: Futoshiki is widely available as a free daily puzzle on dedicated sites, which makes it easy to build a routine. Skyscrapers appears in Simon Tatham’s free Portable Puzzle Collection and on several puzzle sites, with grid size and clue count adjustable. Both are free to play without an account.

A Number Puzzle You Can Try Right Now

Skyscrapers and Futoshiki are constraint puzzles — no arithmetic involved, just placement logic. If you enjoy number-grid challenges and want to try something with a different feel, Make 10 is a quick number puzzle that runs in your browser right now, no sign-up needed.

In Make 10, you drop number tiles so a row or column of touching numbers adds up to exactly ten — and they clear. It takes about thirty seconds to learn the mechanic, and rounds are short.

Just for fun — not medical advice.