Three way dissections

Author : Gavin Theobald

{3}-{4}-{5}	Triangle - Square - Pentagon
{3}-{4}-{6}	Triangle - Square - Hexagon
{3}-{4}-{8}	Triangle - Square - Octagon
{3}-{4}-{12}	Triangle - Square - Dodecagon
{3}-{4}-{5/2}	Triangle - Square - Pentagram
{3}-{4}-{6/2}	Triangle - Square - Hexagram
{3}-{4}-{8/2}	Triangle - Square - Octagram
{3}-{4}-{12/2}	Triangle - Square - Dodecagram
{3}-{5}-{6}	Triangle - Pentagon - Hexagon
{3}-{5}-{6/2}	Triangle - Pentagon - Hexagram
{3}-{6}-{6/2}	Triangle - Hexagon - Hexagram
{3}-{8}-{6/2}	Triangle - Octagon - Hexagram
{3}-{6/2}-{12/2}	Triangle - Hexagram - Dodecagram
{4}-{5}-{6}	Square - Pentagon - Hexagon
{4}-{6}-{7}	Square - Hexagon - Heptagon
{4}-{6}-{8}	Square - Hexagon - Octagon
{4}-{6}-{12}	Square - Hexagon - Dodecagon
{4}-{6}-{6/2}	Square - Hexagon - Hexagram
{4}-{8}-{12}	Square - Octagon - Dodecagon
{4}-{12}-{6/2}	Square - Dodecagon - Hexagram

There is a very large number of possible three way dissections that can be performed. To limit this number I have restricted myself to looking for three way dissections of the regular polygons and polygrams that can be solved in twelve or fewer pieces.