Idea
Tangolo - the lord of the spheres - is made from 32 kissing spheres. Each sphere has its unique size - just like each person has its unique character. Neighbouring spheres touch each other firmly and each sphere touches your finger tenderly. How do you get spheres to arrange that way? Convince them with the law of cosines!
Sizes
Tangolo is available in 10 different EU sizes from 50.25 to 66.5. The EU size gives the inside circumference in mm. Shapeways maps these to US sizes from 5.5 to 12.
For conversion to other international ring sizes use the EU size and the
equivalency table of Wikipedia.