Skyscrapers Logic
Latin Square Puzzle
Only for iPhone
Free · Designed for iPhone. Not verified for macOS.
iPhone
Master the Latin square with edge visibility constraints. 3 difficulty tiers (4×4 to 6×6). Track performance metrics. 100% offline logic puzzle.
Skyscrapers — A Mathematical Logic Puzzle
Skyscrapers is a deterministic logic puzzle based on the mathematical concept of Latin squares, enhanced with edge visibility constraints derived from combinatorial optimization.
Game Mechanics:
• Grid Size: N×N (4×4, 5×5, or 6×6)
• Domain: Fill each cell with integers 1 through N
• Constraint 1: Latin Square — each integer appears exactly once per row and column
• Constraint 2: Visibility Clues — edge numbers indicate count of visible buildings from that direction
• Visibility Function: f(sequence) = count of elements where value[i] > max(value[0..i-1])
Difficulty Architecture:
• Easy (4×4): Clue retention rate ~80%. Optimal for learning constraint propagation techniques.
• Medium (5×5): Clue retention rate ~60%. Balanced complexity requiring multi-step logical deduction.
• Hard (6×6): Clue retention rate ~40%. Advanced difficulty demanding systematic elimination strategies.
Analytical Features:
• Performance Tracking: Best completion time recorded per difficulty tier
• Game Count: Total solved puzzles tracked per difficulty level
• Auto-Save System: State persistence via UserDefaults with 500ms debounce
• Undo Stack: Up to 100 reversible operations
• Notes System: Candidate digit annotation for hypothesis testing
• Conflict Detection: Real-time row/column duplicate and clue violation highlighting
Technical Specifications:
• Platform: iOS 16+ (iPhone, portrait orientation only)
• Framework: Pure SwiftUI, zero third-party dependencies
• Architecture: MVVM pattern with reactive state management
• Performance: O(N) visibility calculation, deterministic puzzle generation
• Privacy: 100% offline. No network access, no analytics, no data collection.
Target Audience:
Engineers, mathematicians, data scientists, and analytical thinkers who appreciate deterministic puzzles with no randomness in solution paths. If you value Sudoku, nonograms, or constraint satisfaction problems, this app delivers rigorous logical challenges.
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The developer, 晓 郭, indicated that the app’s privacy practices may include handling of data as described below. For more information, see the developer’s privacy policy .
Data Not Collected
The developer does not collect any data from this app.
Accessibility
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Information
- Seller
- 晓 郭
- Size
- 732.2 KB
- Category
- Games
- Compatibility
Requires iOS 16.0 or later.
- iPhone
Requires iOS 16.0 or later. - Mac
Requires macOS 13.0 or later and a Mac with Apple M1 chip or later. - Apple Vision
Requires visionOS 1.0 or later.
- iPhone
- Languages
- English
- Age Rating
4+
- 4+
- Copyright
- © 2026 PittWong # 版权信息