This is a very unique tool: The neji-saurus PZ-55 damaged/specialized screw removal pliers.

These pliers have special patented jaws to firmly grip the outside of a stripped screw (or tamper proof/custom screw), thereby allowing you to easily twist the damaged screw out.

This is a high grade tool made in Japan by a highly esteemed quality tool manufacturer.  

To view the manufacturer's short demo video, see below (please note: the audio is Japanese, but you should still be able to get the general idea!)

◆ Specially for screw frozen with rust, stripped or damaged screw head, or for slot on the head is unique and tamper-proof
◆ (Patent) The design of jaws creates powerful gripping and torque.
◆ Hold firmly and can remove screws with no slip
◆ Both vertical and horizontal serration for anti-slipping
◆ Material: S58C
◆ Hardness: HRC56 ± 2
◆ Screw Head Adapted: dia. 3-8mm
◆ Length: 150mm
◆ Weight: 125g