What is printed on the box
Seven decisions make a boxhead: what it is made of, what holds it shut, what it does with its face, what it wears on the lid, and what is stamped in the margin. Rarity is the sum of one over the frequency of each, so a box is rare for what it is rather than for a label stuck on it. The counts below are the roll itself, straight out of the seed that produced it.
BACKGROUND8 options
BOX6 options
TAPE7 options
EYES8 options
MOUTH8 options
TOP8 options
MARK6 options
The rarest box on the line is piece 3099: Olive · Reinforced · Stripes · Shades · Tongue · Mini box · Rain. Ranks fall out of the counts above, and rerunning the roll from the same seed packs all 4,444 the same way again.