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Place a tile on each face of a regular octahedron 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 octahedron....
#2: Post edited
by
trichoplax
·
2026-09-14T20:49:13Z (3 days ago)
Typo
- Place a tile on each face of a [regular octahedron](https://en.wikipedia.org/wiki/Regular_octahedron) 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 octahedron.
- There are 8 identical tiles:
- [![8 triangular tiles each with an arc joining the centres of 2 of their edges][tiles]][tiles]
- Here is a net of an octahedron to arrange the tiles on:
- [![8 triangular faces that can fold into a regular octahedron][octahedron net]][octahedron net]
- ## Printing
Each image can be opened in a separately 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.- [tiles]: https://raw.githubusercontent.com/trichoplax/closed-loop-on-tetrahedron-puzzle/refs/heads/main/octahedron-tiles.svg
- [octahedron net]: https://raw.githubusercontent.com/trichoplax/closed-loop-on-tetrahedron-puzzle/refs/heads/main/octahedron-net.svg
- Place a tile on each face of a [regular octahedron](https://en.wikipedia.org/wiki/Regular_octahedron) 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 octahedron.
- There are 8 identical tiles:
- [![8 triangular tiles each with an arc joining the centres of 2 of their edges][tiles]][tiles]
- Here is a net of an octahedron to arrange the tiles on:
- [![8 triangular faces that can fold into a regular octahedron][octahedron net]][octahedron net]
- ## 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.
- [tiles]: https://raw.githubusercontent.com/trichoplax/closed-loop-on-tetrahedron-puzzle/refs/heads/main/octahedron-tiles.svg
- [octahedron net]: https://raw.githubusercontent.com/trichoplax/closed-loop-on-tetrahedron-puzzle/refs/heads/main/octahedron-net.svg
#1: Initial revision
by
trichoplax
·
2026-09-14T20:01:05Z (3 days ago)
Closed loop on an octahedron
Place a tile on each face of a [regular octahedron](https://en.wikipedia.org/wiki/Regular_octahedron) 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 octahedron. There are 8 identical tiles: [![8 triangular tiles each with an arc joining the centres of 2 of their edges][tiles]][tiles] Here is a net of an octahedron to arrange the tiles on: [![8 triangular faces that can fold into a regular octahedron][octahedron net]][octahedron net] ## Printing Each image can be opened in a separately 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. [tiles]: https://raw.githubusercontent.com/trichoplax/closed-loop-on-tetrahedron-puzzle/refs/heads/main/octahedron-tiles.svg [octahedron net]: https://raw.githubusercontent.com/trichoplax/closed-loop-on-tetrahedron-puzzle/refs/heads/main/octahedron-net.svg