Welcome to the staging ground for new communities! Each proposal has a description in the "Descriptions" category and a body of questions and answers in "Incubator Q&A". You can ask questions (and get answers, we hope!) right away, and start new proposals.
Are you here to participate in a specific proposal? Click on the proposal tag (with the dark outline) to see only posts about that proposal and not all of the others that are in progress. Tags are at the bottom of each post.
Post History
Place a tile on each face of a regular dodecahedron so that the arcs on the tiles form a single closed loop. You may rotate the tiles provided they align with the pentagonal faces of the dodecahed...
#1: Initial revision
by
trichoplax
·
2026-09-15T14:08:25Z (2 days ago)
Closed loop on a dodecahedron
Place a tile on each face of a [regular dodecahedron](https://en.wikipedia.org/wiki/Regular_dodecahedron) so that the arcs on the tiles form a single closed loop. You may rotate the tiles provided they align with the pentagonal faces of the dodecahedron. There are 12 identical tiles: [![12 pentagonal tiles each with 2 arcs joining the centres of 2 adjacent edges][tiles]][tiles] Here is a net of a dodecahedron to arrange the tiles on: [![12 pentagonal faces that can fold into a regular dodecahedron][dodecahedron net]][dodecahedron 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-dodecahedron-puzzle/refs/heads/main/dodecahedron-tiles.svg [dodecahedron net]: https://raw.githubusercontent.com/trichoplax/closed-loop-on-dodecahedron-puzzle/refs/heads/main/dodecahedron-net.svg