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Alec Eiffel has long been my favorite Pixies song. I love the driving beat and the kick ass guitar solo, as well as the closing parts.
Regarding the song’s meaning, from Wikipedia:

The song references the French engineer Alexandre Gustave Eiffel, who designed the Eiffel Tower; (Black) Francis thought it was a “fascinating subject” to compose a song about. Francis also mentioned another meaning of the song: “Because of Alexandre Gustave Eiffel, but also because it’s funny: in the USA and in Australia, you often say ‘It’s a smart Alec’ for [sic] a guy who’s nice but not very bright.

Here’s a link to the video

And of course, the lyrics:

Pioneer of aerodynamics
(little Eiffel, little Eiffel)
They thought he was real smart alec
(little Eiffel, little Eiffel)
He thought big they called it a phallic
(little Eiffel, little Eiffel)
They didn’t know he was panoramic
Little Eiffel stands in the archway
(little Eiffel, little Eiffel)
Keeping low doesn’t make no sense
Sometimes people can be oh so dense
They didn’t want it but he built it anyway
(little Eiffel, little Eiffel)
Little Eiffel stands in the archway
(little Eiffel, little Eiffel)
k\Keeping low don’t make sense
Keeping low doesn’t make no-sense
(little Eiffel, little Eiffel)
Little Eiffel stands in the archway
Oh alexander I see you beneath
The archway of aerodynamics.