## 27 June 2007

### Octahedron Gnostic Triquetra

That title is a real mouthful, isn't it?

Each face has a three-color triquetra arrangement, but unlike the previous Octahedron Triquetra each face is a mirror-image of each of its three neighbors. As a result, four faces show a left-handed triquetra and the other four faces show a right-handed triquetra. This arrangement resolves the agnostic edge, something that wouldn't be possible in a Pyraminx Triquetra pattern.

Of the platonic solids, only an 8-sided puzzle can divide the puzzle into two schemes where each face uses a different scheme from all of its neighbors. An ordinary Rubik's Cube can't do it. The Skewb Diamond (a different octahedron puzzle) can get half solved, so that each solved face was surrounded by three unsolved ones.

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