You can see from this picture the basic organization of Skyler Base but it tells you nothing about its construction:
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When the Vuduri first arrived, they used their pressure suits to uncrate the tugs, split the cargo containers and created the egress to the Algol as well as the tug hangars. The final piece was the placeholder for the stellar cartography lab.
When this was complete, they marched to what was to be the very center of the base and erected a huge tentpole. They draped a mylar-like substance from the top and attached it to each of the four half-cylinders then pinned the corners. They used aerogel generators to coat the mylar and create the basic pyramidal structure of the Base.
Finally, they brought out the hangar doors from another cargo section and sealed off any other openings. At this point, they had a structure where they could start moving equipment. After they established the power plant and molecular sequencers, the actual internal construction began.
Tomorrow: aerogel. What the heck is it?