Lore
Here's what we know about Pengins & Syvers.
Syver lore
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K used two deletions to destroy the 0 Dimension. The Void became the Orient of the world. Aperture Laboratories decided to go there, and Black Mesa did too. Prince Co. eventually did many, including the failed S. S. Cube project. The S. S. Prince and S. S. Cubeor went the best out of any void expedition ever, coming after the S. S. Cube incident.
Pengin lore
Chaz has godlike powers, leading to many people chazing themselves for rhetorical gain. The most notable event of such is the Him incident, backed up by the Him Sightings, in which the ominous Them create a figure, and also make Her and They, to cross dimensions, warp spacetime, and kidnap people, for unknown reasons. This creates a surreal reality in which Chaz Co., Chaz's company, to hire employees in strange working conditions, in a world in which THS employees and robots are still trying to find Him, as he can be here. Anytime.