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 facially attached to at least one upper surface square;
• at least four vertically-oriented side walls having top, bottom, and side edges;
• the side edges of adjacent side walls contacting one another;
• the bottom edges of the side walls contacting the bottom member;
• the side walls being divisible into a whole number of identically-sized, edge-connected squares;
• 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;
• the volume of the symmetrical figure being defined by the area of the upper surface multiplied by the height of the side walls;
• and
• the shape of the symmetrical figure conforming to the shape of the support base and the height of the side walls.