Four Way Dissections
Author : Gavin Theobald
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{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
Triangle — Square — Hexagon — Dodecagon (17 pieces with 4 turned over)
Triangle — Square — Hexagon — Hexagram (16 pieces)
Triangle — Square — Octagon — Hexagram (17 pieces)
Triangle — Square — Octagon — Hexagram (16 pieces with 4 turned over)
It is possible to improve this dissection so that only one piece need be turned over, but the dissection is more symmetric as shown.
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