Touching Matches Solutions

This is the flat solution using 12 matches.

However if the matches are arranged in

3 dimensions to create a tetrahedron

then only 6 matches are needed.

4 Match Touching Patterns

(1,2,2,2,1)

(1,1,1,2,3)

(1,1,1,1,4)

(1,2,2,3)

and (2,2,2,2)