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Triangle Texture (Posted on 2014-07-28) Difficulty: 2 of 5
Using only the vertices of a regular octahedron as the corners, how many equilateral triangles in total is it possible to make?

No Solution Yet Submitted by K Sengupta    
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re: My guess Comment 2 of 2 |
(In reply to My guess by tomarken)

Agree. At each of the 6 vertices, four of the others are the same distance and form only faces of the octahedron (or isosceles triangles  across the square cross-section).  The remaining vertex is at a unique distance (for the given original vertex) and can't form an equilateral triangle.
  Posted by Charlie on 2014-07-28 17:33:02

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