The following Images from the courtesy of Symmetric Stick Puzzles.
George W. Hart Museum of Mathematics.



Example wooden puzzles based on the symmetric placement of sticks-1
Figures A-L are based on the twelve edges of a cube,
{Extract from the George W. Hart's (Museum of Mathematics) Paper on Symmetric Stick Puzzles}



Example wooden puzzles based on the symmetric placement of sticks-2
Figures M-U are based on the thirty edges of a dodecahedron, and Figure V is based on the ninety edges of a truncated icosahedron.
In W and X, the structure and its mirror image are combined, with two diameters of stick.
{Extract from the George W. Hart's (Museum of Mathematics) Paper on Symmetric Stick Puzzles}