There are 16 pairs of complementary 5 element dissections produced by application of the grouped element technique - 4 in which no pairs of elements are merged (which are just implementations of the symmetric tiles), 4 in which both pairs of elements are merged (2 of which are order 5 implementations of the order 3 demisymmetric tiles), 4 in which the c1 elements alone are merged, and 4 in which the c4 elements alone are merged.
The two novel tiles in which both pairs of elements are merged are
There are order 7 versions of these tiles.
The four tiles in which the c1 elements alone are merged are
The four tiles in which the c4 elements alone are merged are
A better impression of the tiles is given when the weight function is plotted.
© 2015 Stewart R. Hinsley