Three Words: Rhombic Dodecahedral Lattice. 4 sets of three parallel triangular prisms - HELL YEAH!!
All you need is a glue gun and 140 5 oz. Dixie Cups to achieve this rigid erection! Make several - then show off your amazing balls to friends and family! Then show them the thing you made out of 140 Dixie Cups! These Dixiespheres exhibit icosahedral symmetry, but other kinds are possible as well - I've included pictures of other Dixie Cup spherical constructions. I'd love to see any new ones you can come up with (especially if they exhibit some sort of symmetry), and I'd love to hear about how you use your Dixiespheres. I am a 30 year old man who makes things out of Dixie Cups!!! I'm starting to get a gut!!! I haven't taken a shower yet today...
Step 1: Constructing the basic 7-cup modular unit
The Dixiesphere is composed of twenty spherical-hexagonal 7-cup modular units, which you will construct first. Each hexagonal modular unit consists of seven cups hot-glued together such that one central cup is surrounded tangentially by six more cups. (The spaces between cups will look like equilateral triangles with concave edges, and the circular bases and rims of the cups will look like hexagonal close-packings of circles, but they will posess a slight overall curvature, as the circles define the surfaces of spheres.) It is important that the central cup contacts each of its surrounding six cups at their bases. It's a tight fit getting six cups around a center cup. Work quickly while the glue is hot to ensure that all upper rims and lower bases of the cups are flush, and that there are no superfluous gaps between the bases of the cups. Make all twenty units before assembling the Dixiesphere. Do not micturate in the cups!
Bio:I have achieved a degree of civil attrioneering (grande cum laude), and I've got a minor in under-the-influence basket weaving. (I did not take the 400-level scuba component - very dangerous!) Somed...read more »