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Closed loop on a tetrahedron Question
Place a tile on each face of a regular tetrahedron so that the arcs on the tiles form a single closed loop.
You may rotate the tiles provided they align with the triangular faces of the tetrahedron.
There are 4 identical tiles:
Here is a net of a tetrahedron to arrange the tiles on:
Printing
Each image can be opened in a separate tab (which will display the tiles at exactly the right size to place on the net) to allow printing so you can experiment or photograph your solution.
1 answer
The following users marked this post as Works for me:
| User | Comment | Date |
|---|---|---|
| trichoplax | (no comment) | Sep 15, 2026 at 07:31 |
This puzzle was exactly the right level of difficulty for me.
Solution! Click/tap here to reveal
In solving this puzzle, I treated the middle triangle as the bottom face of the tetrahedron. The arc on this bottom face could appear in any of three positions. To reduce the number of possibilities I rotated the tetrahedron so the arc would appear as in the diagram (an upside down U shape).
Then I determined where the edges of the faces would intersect if the faces of the tetrahedron net was folded up to form a tetrahedron.
With a small amount of trial and error I arrived at the following solution:
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