a.k.a. Incrediball
Patented in 1984 by William O. Gustafson and others;
purchased from Mefferts.com.
(3 inches)

Each of the groups of five triangles can rotate (it doesn't look like they should be able to, but there is a spring mechanism that lets them flex up enough to rotate). The groups intersect in twelve circles. In the solved state, there are six distinct circle colors, where each circle has the same color as the one opposite it. Jaap's Page notes that this is the same puzzle as the Kilominx, and presents a solution.

Further reading:
Meffert's Page, from: http://www.mefferts.com/puzzles/impossol.html
Jaap's Page, from: http://www.jaapsch.net/puzzles
Gustafson Patent, from www.uspto.gov - patent no. 4,474,376)
Blazek and Jandora Patent, from www.uspto.gov - patent no. 6,994,343)
Djukic DE Patent, from: www.epo.org - patent no. DE20211793
Djukic WO Patent, from: www.epo.org - patent no. WO03105978
Obermair DE Patent, from: www.epo.org - patent no. DE3204033