{3}-{4}-{6}-{8} | Triangle — Square — Hexagon — Octagon |
{3}-{4}-{6}-{12} | Triangle — Square — Hexagon — Dodecagon |
{3}-{4}-{6}-{6/2} | Triangle — Square — Hexagon — Hexagram |
{3}-{4}-{8}-{6/2}  | Triangle — Square — Octagon — Hexagram |
There is a very large number of possible four way dissections that can be performed. To limit this number I have restricted myself to looking for four way dissections of the regular polygons that can be solved in eighteen or fewer pieces.