I believe it was described in the book as a metal sphere. Not exactly a thrilling image. I suppose someone might find a challenge in making such a simple idea into something interesting.
I'm curious about your interest in the Skylark. I thought it was one of the worst books I ever read, so it seems an unusual subject to ask about.
I have a vague memory of seeing a sphere with surface greeblies on a cheap 1970s paperback edition that I bought in a secondhand store in the 80s. But basically, I think there's no definitive answer... read the book, gather the details, apply your imagination.
Go and look at atomic rockets, there are several pages on there with many mentions of EE doc smith on them, and i am sure there are some mentions of "skylark of space". Also to add to your comment jenny, book cover images, especially on sci-fi are rarely what the ships inside are supposed to look like, the cover images are stock pictures. For example, the guy who writes at atomic rockets http://www.projectrho.com/public_html/rocket/ made a model of a sort of shuttle craft. I have seen images of that same shuttle on atleast 5 book covers (the author of that model isn't credited on the image credits section one usually finds hidden inside a front or back page), all the same ship. It's not because the author said "this is what my ship looks like" it's because the publisher said "here's a quick picture of a ship that will help our book sell".
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I'm curious about your interest in the Skylark. I thought it was one of the worst books I ever read, so it seems an unusual subject to ask about.