立方体/3D数独
排列在立方体或其他3D布局面上的数独
什么是立方体/3D数独?
3D数独变体将数独网格排列成三维配置——通常是在立方体的六个面上,相邻的面共享边行或边列。解必须独立满足每个面上的数独规则,同时也要满足沿共享边的约束。这创造了一种壮观的视觉谜题格式,具有独特的跨面逻辑。
一览
| 约束类型 | Twin Grids |
| 典型给定数 | ~30 per grid |
| 难度评级 | ★★★★☆ 4/5 |
| 平均解题时间 — 简单 | 15 分钟 |
| 平均解题时间 — 中等 | 32 分钟 |
| 平均解题时间 — 困难 | 60 分钟 |
| 平均解题时间 — 专家 | 95 分钟 |
如何解立方体/3D数独
| 技巧 | 它的作用 | 级别 |
|---|---|---|
| Shared Box Exploitation | The overlapping 3×3 box satisfies both grids. Digits placed here eliminate from rows and columns in both Grid A and Grid B simultaneously. | 高级 |
| Grid A/B Isolation | Outside the shared box, each grid operates independently. Apply standard 9×9 Sudoku logic to each grid in turn. | 高级 |
| Cross-Grid Cascade | Completing the shared box often cascades through the adjacent rows and columns of both grids, rapidly resolving nearby cells. | 高级 |
| Overlap Constraint | The shared box must satisfy: Grid A's bottom-right box rules, AND Grid B's top-left box rules, AND both grids' overlapping row/column constraints. | 高级 |
| Twin Digit Counting | Each digit appears 9 times in Grid A and 9 times in Grid B, but only once in the shared box. This counting helps verify near-complete grids. | 高级 |
平均解题时间
简单
15 分钟
中等
32 分钟
困难
60 分钟
专家
95 分钟
常见问题
什么是立方体数独(3D数独)?
Cube Sudoku (also called 3D Sudoku or Tridoku) consists of two 9×9 Sudoku grids that share a common 3×3 box at their overlapping corner. Both grids must independently satisfy all standard Sudoku rules, and the shared corner box must simultaneously satisfy both grids' box constraint.
How does the shared box work?
The shared corner box is part of both grids. Any digit placed in that box counts toward the uniqueness constraint for both grids simultaneously. This means solving either grid's corner directly constrains the other grid's corner — the two grids communicate only through this shared zone.
Do both grids use the same digits?
Yes. Both grids use the digits 1–9, and both follow standard Sudoku rules independently. The shared box makes the two grids interdependent. A digit placed in the shared box cannot repeat in any row, column, or box of either grid.
Is Cube Sudoku harder than regular Sudoku?
It is roughly twice as much work as a single Sudoku, plus the added challenge of managing the shared corner. Easy Cube puzzles are accessible for experienced Sudoku players. Hard and expert puzzles require actively exploiting the cross-grid constraint, which adds genuine complexity beyond simply solving two independent grids.
What is the best strategy for Cube Sudoku?
Alternate between the two grids rather than solving one completely before the other. Whenever you make progress in the shared corner box, immediately check what that means for the other grid. The shared box is the key to unlocking both grids — maximise information flow through it.
How long does Cube Sudoku take to solve?
Easy puzzles take 15–30 minutes. Medium puzzles run 30–50 minutes. Hard and expert puzzles can take 60–120 minutes. The scale (two full grids) is the primary driver of solve time.