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Closed loop on a side length 1 cube Question
Place a tile on each face of a cube so that the arcs on the tiles form a single closed loop.
You may rotate each tile by any multiple of 90 degrees.
The tiles to be used are equal numbers of 2 kinds of tile:
- 3 single arc tiles:
- 3 double arc tiles:
Here are 3 of each that can be printed and cut out:
Here is a net of a cube to place the tiles on:
Each of the images can be opened in a separate tab (which will display the tiles and the squares on the cube faces at exactly the same size) if you would like to print them for experimenting or to photograph your solution to post in an answer.
1 answer
The following users marked this post as Works for me:
| User | Comment | Date |
|---|---|---|
| trichoplax | (no comment) | Sep 14, 2026 at 17:11 |
For me, this puzzle was the right level of difficulty; not too easy and not too hard.
To solve this puzzle I used intelligent trial and error. To reduce the number of possibilities I used the fact that there must be two adjacent faces of the cube that are both covered with tiles each of which has two arcs.
Solution! Click here to reveal
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