Three Caterpillars

How many caterpillars does it take to make a butterfly?  No clue!  But apparently, it takes more than 1 to make a symmetric shape.

Three Caterpillars is a 2D symmetry puzzle designed by Alexander Magyarics.  You may never guess that it consists of 3 caterpillars that need to be arranged to make a symmetrical shape.  The type of symmetry is not specified.  And if that is not enough, each pair of pieces can be used to make a symmetric shape as well.  Four challenges for the price of one.

The pieces are 3D printed and the heads are a different color than the rest of the body so you know which way they are looking.  The colors have no relationship with the symmetry constraints unless I completely misjudged it.

The 3 challenges for making a symmetrical shape with 2 pieces are not that difficult and make for nice warm-up to the main challenge.  The 3-piece challenge is a bit more involved than the 2-piece challenges but I didn’t find it as tough as some of Alexander's other symmetry puzzles.

Update: Alexander contacted me and indicated that the solutions do indeed have to take into account the symmetry of the colors.