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This is a set of four bandaged cubes all bandaged by a single block. None of these blocks include a corner piece so they are not equivalent to a Siamese Cube of any kind.
These four variants are a measure of demonstrating subgroups of the 3x3x3 instead of inventing new puzzles.
The 3x3x3 knows a lot of subgroups and some of them can easily be defined by the possible twists. An example: (U,D,L,R,F,B) is the traditional 3x3x3 and (U,L,F) is the Fused Cube.
The four bandaged cubes shown here implement subgroups by bonding pieces of the 3x3x3 to each other into one single block. These four are special because they do not include a corner pieces and therefore can not be emulated by a classic Siamese Cube.
The four variants are:
(first row from left to right)
(U D L F Fs) Bandaged Edge112
(U D F Fs) Bandaged Edge113
(second row from left to right)
(U D L F) Bandaged Edge122
(U D L) Bandaged Edge123
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