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I read it online few years ago. It is a short story about exploring a spacecraft/ship/station that seems to be infinite inside.

It is written like a log, and each entry starts with a measure, like Day 1 "1 km", Day 2 "10 km", Day 3 "100 km" (not sure about dimensions but they grew exponentially).

I found the story at that time while reading about megastructures. Although the construction in the story was huge, it didn't fit the criteria of megastructure because it was infinite.

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This makes me think of "the Way" in Greg Bear's Eon. But I don't recall if any of the chapters started with measurements like that. Also, this was a novel rather than a short story. –  Xantec Aug 7 '14 at 12:41
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If you're interested in stories about seemingly infinite structures, you might enjoy reading House of Leaves by Mark Danielewski. This is not a short story though, but a full-blown book. It's also a typographical experiment, which makes it even more interesting. Take a look, maybe you'll enjoy it! –  Lasooch Aug 8 '14 at 8:57
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This is a good example of why story-id questions are a good feature of this site. I read this, found the concept interesting, and found the answer and the link and just read this story. –  Tango Aug 13 '14 at 5:46
    
@Lasooch: Typographical or topographical experiment? There's a big difference! –  Tango Aug 13 '14 at 5:46
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@Tango actually, I guess one could say it's a bit of both. But mostly tYpography. Take a look: images.fanpop.com/images/image_uploads/… - an actual page from the book ;) –  Lasooch Aug 13 '14 at 17:19

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up vote 50 down vote accepted

It is Report on an unidentified space station by J. G. Ballard. You can read it here.

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That was a really neat story –  Elias Aug 7 '14 at 15:00
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Reminiscent of Borges' "Library of Babel". –  Chris Sunami Aug 7 '14 at 18:25
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This is why I love just to toddle around this page. Brilliant story –  IgnasK Aug 8 '14 at 11:54
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Yay for reading –  itcouldevenbeaboat Aug 8 '14 at 13:59

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