Hexiamond Fried Eggs

The table below lists possible pairs of Fried eggs for the Hexiamonds. A pair of fried eggs is composed of two congruent shapes, each having a yolk, i.e. a piece that doesn't touch the edges of the shape. The yolks are coloured in yellow here.

The solutions shown here have been authored by George Sicherman (13), Rick Mabry (8) and me, Todor Tchervenkov (39). Six pairs have no solutions. This has been proved by George Sicherman.

There are many possible shapes for most of the pairs. However, George Sicherman has proved the uniqueness of the shapes for some pairs. This is noted in the table.

BarBatButterflyClubCrownHexagonLobsterShoeSignpostSnakeSphinx
Bat Impossible
Butterfly
Unique
ClubImpossible
Unique
Crown Impossible
Hexagon
Unique
Lobster
Shoe Impossible
Signpost
Unique
SnakeImpossible
Sphinx
Yacht Impossible