There are people who take the time to do this kind of calculations (awesome, isn't it?).
Of course, this article
talks about a theoretical
Lego tower - if you actually build one, the tallest you can get is 4m before the kinks in its construction make it fall.
But... if you assume that the tower is perfectly built, it would take the grand total of 375,000 bricks before the bottom one literally melted (not broke, melted).
This is equivalent to a 2.17-mile-high tower. So now you know.
James May from Top Gear, skipped theory and made A HOUSE full of legos:
Anyway, he first consulted with engineers before the construction.
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