The Burj Dubai (new Burj Khalifa) , the tallest building in the world had been the scene for a world record BASE jump. 1 British man attempted the jump & was successful, while a second man, a French man, was caught before he could jump.

Video: 2 men had already succeeded in climbing the tower and base jumping from it without being caught. They were both arrested & held in Dubai. (current.com)
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