In this hour glass, 6 matches form 2 triangles. Can you suggest how the matches might be moved to form 4 triangles? (Dont try to do this one.) What about 6 triangles? |
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The 4 triangle case requires 3 dimensions.
The 6 triangle case might require some crossed matches.
The formation of 4 triangles is a classical match stick problem which involves placing the matches as the edges of a tetrahedron in 3 dimensions.
A solution for 6 triangles is illustrated above.