rufftoon:

(Almost) Full view of the Toothless puppet- animatronics.

Interestingly, the rig that makes it move is put behind it, to allow for Toothless to crouch low to the ground. A different set up from Gronckles, Nadders and Nightmares, who have their rigs underneath their bellies.

(look at those padded feet, ha ha!) 

From the How To Train Your Dragon stage show, opening in about two weeks in Melbourne, Australia.