a.k.a. Flowerminx
Sold by Mefferts 2009.
(in black and white bodies, plastic, 2.9 inches between opposite faces)

Twelve sides, each a different color, can each be rotated. A simpler version of the Megaminx (see also the Master Kilominx). Here are views of the other six sides:



Both versions use the same colors, except the white face is changed to black when going from the black body to the white body version; on opposite sides the colors are:

red / gold
blue / light blue
orange / light purple
yellow / white or black
pink / purple
light green / dark green

Jaap's Page notes that this is the same puzzle as the Impossiball and presents a solution.

Further Reading
Jaap's Page, from: http://www.jaapsch.net/puzzles/impossi.htm