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Ballerina 2016
Extension 2016
… [Kurt Gödel] kept trying to use his ultraprecisionistic logical habits in ordinary human affairs. When at the beginning of World War II he had to answer a bureaucratically and unintelligently designed draft questionnaire, he became confused and sowed even greater confusion. Instead of answering the unanswerable questions with an impatient yes or no, the way most of us did, he would write lengthy and involved essays explaining that if the question meant A, then the answer was X, but if it meant B, then … and so on.
- Paul Halmos, I Want to be a Mathematician: An Automatography, p. 141-142. Springer, 1985.
From “Proofs Without Words” by Roger Nelsen.
Z-Flower Made with MATLAB and Photoshop -- a heavily edited graph of the surface x^2 + y^2
The City that Never Sleeps
Cellar
The primes are often thought of as behaving like a random sequence, but there are patterns in their digits. The first frame shows how many of the first 100 primes end in 1, 3, 7 and 9. They all occur roughly the same number of times, so the four squares are almost exactly the same shade of red. The next frame shows how frequently a prime ending in 1 is followed by a prime ending in 3 - and so on. A structured pattern emerges, with the final frame showing the distribution of final digits in strings of 8 consecutive primes (for the first 2 million primes). [recent news] [visualization from] [code]
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