C3. HOUR GLASS I    

In this hour glass, 6 matches form 2 triangles. Can you suggest how the matches might be moved to form 4 triangles? (Don’t try to do this one.) What about 6 triangles?




 

T

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.