Arcade Fire - Neon Bible
Arcade Fire - Neon Bible
Perfect numbers are positive integers who equal the sum of their proper integers (their aliquot sum). An well-known example is 6. Indeed, the proper divisors are 1, 2 and 3, and they sum up to 6. Another example is 28: 1+2+4+7+14.
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Only the first four perfect numbers were known to the ancient Greek mathematicians. Euclid could prove the following generating formula:
Two millennia later Euler proved that all even perfect numbers are of the form described by Euclid’s recipe. This means that every Mersenne prime generates an even perfect number and vice-versa.
However, what about odd perfect numbers; do they exist? No one knows. All of the 48 perfect numbers known today (see this list) happen to be even. It’s unknown as well whether there exist infinitely many perfect numbers.
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Neutral Milk Hotel - In the Aeroplane Over the Sea (1998)
In the Aeroplane Over the Sea is widely considered to be written about Anne Frank due to lyrics seemingly referring to her, such as lines referring to her birth and death dates.
The album’s iconic cover was a collaboration between Mangum and R.E.M.’s staff designer, Chris Bilheimer. The general design reflects the taste of Jeff Mangum; Bryan Poole said that “Mangum was always into that old-timey, magic, semi-circus, turn-of-the-century, penny arcade kind of imagery.” One particular piece Mangum showed to Bilheimer was an old European postcard with an image of people bathing at a resort, which was then cropped and altered.
Christine Ödlund (Sweden)
Christine Ödlund is an artist and composer who lives and works in Stockholm, Sweden. She earned her degree in photography from Konstfack, University of Art, Craft and Design in Stockholm and video at the Royal Academy of Fine Arts in Stockholm. She undertook further studies in electro-acoustic music at EMS (Institute for Electroacoustic Music in Sweden). Christine participated in the Swedish outsiders – festival of experimental sounds & films at ICA, London in May 2008 and the group show Changing Matters – The Resilience Art Exhibition at The Swedish Museum of Natural History in Stockholm in 2008. Christine is releasing a CD-album, Phenomena, at iDEAL recordings in August 2008. (source: Animate Projects)
Mathematik & Kombinatorik, by Gottfried Leibniz