Has anyone discovered a convex space-filling 15-faced polyhedron? I've been looking for extensive surveys regarding space-filling polyhedra, but have only come across Michael Goldbergs "Convex polyhedral space-fillers of more than twelve faces" from 1979, stating that "no one has found a 15 faced space-filler, nor has anyone proved its nonexistence". 
I realize that several might have been found since then, but i have no way of verifying it, or checking which types has then been found.
 A: According to Olaf Delgado-Friedrichs and Michael O’Keeffe, "Isohedral simple tilings: binodal and by tiles with <16 faces" -- 
"For simple polyhedra with 14, 15 and 16 faces, there are respectively 10, 65 and
434 that fill space and a total of 23, 136 and 710 distinct tilings."
Not all of these are convex, though.
After reading through a lot of papers by Goldberg, I wrote the following for MathWorld's Space-filling polyhedron
In the period 1974-1980, Michael Goldberg attempted to exhaustively catalog space-filling polyhedra. According to Goldberg, there are 27 distinct space-filling hexahedra, covering all of the 7 hexahedra except the pentagonal pyramid. Of the 34 heptahedra, 16 are space-fillers, which can fill space in at least 56 distinct ways. Octahedra can fill space in at least 49 different ways. In pre-1980 papers, there are forty 11-hedra, sixteen dodecahedra, four 13-hedra, eight 14-hedra, no 15-hedra, one 16-hedron originally discovered by Föppl (Grünbaum and Shephard 1980; Wells 1991, p. 234), two 17-hedra, one 18-hedron, six icosahedra, two 21-hedra, five 22-hedra, two 23-hedra, one 24-hedron, and a believed maximal 26-hedron. In 1980, P. Engel (Wells 1991, pp. 234-235) then found a total of 172 more space-fillers of 17 to 38 faces, and more space-fillers have been found subsequently. P. Schmitt discovered a nonconvex aperiodic polyhedral space-filler around 1990, and a convex polyhedron known as the Schmitt-Conway biprism which fills space only aperiodically was found by J. H. Conway in 1993 (Eppstein). A modern survey would be welcome.
So far, I know of no modern survey.  I'll believe all these tilers when I can see them in an interactive 3D program. Goldberg's results need to be cataloged, and Engel's results added in, and then things like this 13-facer can be considered.
