Professor Membrane, arguably the most famous person on the version of Earth which Invader ZIM takes place in, is best known for his numerous devices he has created to benefit mankind. This article contains a complete list of the professor's inventions.
Supertoast looks like ordinary toast, but seems to have some kind of instant, steroid-like effect when eaten, possibly indicating it is some kind of genetically-modified food.
It is possible that Professor Membrane invented it during The Nightmare Begins, as he did not want to be bothered by Dib while he was "making... TOAST!"
Perpetual Energy Generator
The Perpetual Energy Generator, abbreviated to 'PEG', was an infinite power-generating machine built by Membrane that would have supplied free power to all of Earth, or - if the machine failed - would have sent a shockwave of destruction that would destroy all life on Earth. At the unveiling ceremony, 'Da Cone' threw an ice cream cone, followed by the Dib robot's eye, onto the stage. Angering the professor, he decided that the Earth wasn't ready for unlimited free power. Therefore, he never turned PEG on, much to the dismay of the crowd. PEG seems to be a cross between the real-life National Ignition Facility (NIF) and the Large Hadron Collider (LHC), due to its ability to create infinite amounts of energy (NIF), and to possibly destroy Earth (LHC). However, the LHC's supposed ability to destroy the world was later proven false. The generator also somewhat resembles the core of Wardenclyffe Tower. What's interesting is that the Professor referred to the machine as 'her' when describing it.
Giant Anti-Santa Robot
Membrane has a deep hatred of Santa Claus because, as a boy, Santa gave him an endless mountain of socks for Christmas, instead of what Membrane dreamed of: A Uranium-238 (238U). Deeply disappointed and angered, from then on, Membrane devoted a portion of his life to destroying Santa by making an Anti-Santa arsenal; this included the giant Anti-Santa robot. Dib later used the robot to combat Zim when the Invader attempted to gain control over the human race by impersonating Santa.
The Hoverhelmet makes its only appearance in Bad, Bad Rubber Piggy, when Dib used it to float into the sky and spy on a family of Nosferatus down the street. In an alternate timeline, while Dib was airborne, Zim turned the Hoverhelmet into a rubber piggy, using the Temporal Object Displacement Device, and Dib plummeted to the ground. The damage this impact had on Dib forced him to wear an oxygen tank, with tubes attached to his neck, in order to breathe.
Temporal Object Displacement Device
Professor Membrane revealed his Temporal Object Displacement Device on his TV show, Probing the Membrane of Science. The device replaces one object with another in the past (for example, turning Breakfast Chunks to Breakfast Squids), but it is impossible to predict the outcome of the replacement. Professor Membrane said that anyone who dare use the device would be a "complete moron" for messing with the flow of time and changing history.
In episode Bad, Bad Rubber Piggy, Zim built one to try to kill Dib. The name is possibly a reference to Vasquez's earlier work Squee!, as the acronym for the Temporal Object Displacement Device is "TODD" for short (which is Squee's real name).
The Nanoship is an unmanned microscopic ship that Dib used to combat Zim's micro-sub when the Invader shrank down to microscopic size and invaded Dib's body. The ship has the ability to transform into a two-legged mech, much like Zim's. Its weapons include a grapple hook and lasers.
The Nanoship's controls are similar to that of the design for the Game Slave (not only are the typical D-pad and A and B buttons available, there is also an extra joystick), as Gaz, an avid video gamer, was able to effortlessly defeat Zim in Dib's body, while Dib was unable to.
The Nanoship's design is based on the microsub from the film Innerspace.
Jhonen stated in a DVD commentary that, in a later episode, it would be revealed that Dib himself (and possibly Gaz too) had actually been an experiment made by Membrane for an unknown purpose. How this would be revealed is unknown, as the series was cancelled before anything could be scripted out.
Issue 5 of the comic series has Membrane aid Gaz in finding a parallel universe ruled by gamers, though how is not shown.
Issue 9 features a Flesh Printer, which can create limbs and alter appearances. Dib uses it to disguise himself as an alien and infiltrate Zim's base, while Gaz gives herself extra limbs so that she can play multiplayer games by herself.
In Issue 16, Membrane provides Dib with a Fear Siphon, which sucks up all the fear input in his brain, rendering him fearless. The input is stored in the siphon as a slurry, which Membrane apparently believes can one day be used as fuel to reach the Moon (seemingly unaware that humans have already been there).