Cubic assembly puzzle and support structure

An assembly puzzle comprising:

• a three-dimensional, symmetrical figure consisting of interfitting assembly pieces and a support base;
• the support base comprising a shape equivalent to:
• a flat, horizontally-oriented, polygonal bottom member possessing an upper surface and edges;
• the upper surface being divisible into a whole number of identically-sized, edge-connected squares;
• the upper surface having an area;
• at least one vertical tower having a height;
• the tower being permanently facially attached to at least one square of the upper surface;
• the assembly pieces and vertical tower having a shape equivalent to a whole number of identically-sized, facially-connected cubes;
• the symmetrical figure being at least two cubes in thickness;
• and
• the volume of the symmetrical figure being defined by the area of the upper surface multiplied by the height of the tower;
• wherein the volume of the symmetrical figure, minus the volume occupied by the tower, is substantially equal to sixty cubes;
• wherein the assembly pieces have a shape equivalent to five facially connected cubes whose centers all lie in a single plane, the pieces being:
• one piece having a shape equivalent to five adjacent cubes aligned in a row;
• one piece having a shape equivalent to four cubes aligned in a row and a fifth cube connected to a side of an end cube in the row and the fifth cube being out of alignment with respect to the row;
• one piece having a shape equivalent to four cubes in a row and a fifth cube connected to a side of an intermediate cube in the row;
• one piece having a Z shape;
• one piece having an S shape;
• one piece having a V shape;
• one piece having a I shape;
• one piece having a W shape;
• one piece having a shape equivalent to three cubes in a row with a fourth cube connected to a side of an intermediate cube in the row and a fifth cube connected to an opposite side of an end cube in the row which is opposite from the fourth cube;
• one piece having a shape equivalent to four cubes that form a square and a fifth connected to one side of the four cube square;
• one piece having a cross shape;
• one piece having a U shape.