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Beauty of Pi

Many digits of Pi in a beautiful layout. Pi is the ratio of a circle’s circumference to it’s diameter. This ratio has been calculated to be approximately 3.141592653. An engineer designing a large circular building would not need a measurement any more accurate than that, but mathematicians have calculated Pi to billions of digits. Yahoo’s Pi Links

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Juggling at its Best

Jason Garfield : Check out his videos. He juggles 10 balls, 7 clubs and 10 rings. The Raspyni Brothers , one of the finest juggling duos in the world, have entertaining videos on their site too. The Passing Zone is another fantastic juggling duo. They were the first jugglers to pass 11 clubs. Now 17 and 14 year old Vova and Olga Galchenko juggle 12 clubs with ease. Vova beat Jason Garfield in the 2004 World Juggling Federation Advanced Clubs competition. Jason won the advanced balls competition.

The Infinite Hotel

Imagine a scenario in which you arrive at a hotel, hot, sweaty and impatient. Your mood is not improved when the clerk tells you that they have no record of your reservation and that the hotel is full. “There is nothing I can do, I’m afraid,” he intones officiously.

If you’re in an argumentative frame of mind and know some set theory, you might in an equally officious tone inform the clerk that the problem is not that the hotel is full, but rather that it is both full and finite.

You can explain that if the hotel were full but infinite (the above-mentioned Hilbert’s Hotel Infinity), there would be something he could do. He could tell the guest in room 1 to move into room 2; the original party in room 2 he could move into room 3, the previous occupant of room 3 he could move into room 4, and so on. In general, the hotel could move the guest in room N into room (N + 1). This action would deprive no party of a room yet would vacate room 1 into which you could now move.

John Allen Paulos retelling David Hilbert’s idea