Black holes are surrounded by a spherical event horizon, and your spaceship can indeed fly under, over, or around it.
Testing Theory of Gravity by The Black Hole Shadow
exploring black holes
Is there any way that the bottom of a black hole could be the
A Ring of Controversy Around a Black Hole Photo – Of Particular
Pōwehi: New research captures a decade of movement – James Clerk
Black Hole Spits Out High-Energy Jets at Near Light-Speed
Exotic Objects, Page 3 of 87
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Abby Cadabby (@Abyta20) / X
Tiny black holes on the bottom of my feet, what are they? : r/medical
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Astronomers detect the closest example yet of a black hole
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Astronomers find wandering black holes in dwarf galaxies
Do black holes have bottoms?