visualizingmath:

The Ulam Spiral
The prime spiral, also known as Ulam’s spiral, is a plot in which the positive integers are arranged in a spiral with primes indicated in some way along the spiral. Unexpected patterns of diagonal lines are apparent in such a plot. This construction was first made by Polish-American mathematician Stanislaw Ulam (1909-1986) in 1963 while doodling during a boring talk at a scientific meeting. While drawing a grid of lines, he decided to number the intersections according to a spiral pattern, and then began circling the numbers in the spiral that were primes. Surprisingly, the circled primes appeared to fall along a number of diagonal straight lines or, in Ulam’s slightly more formal prose, it “appears to exhibit a strongly nonrandom appearance”
In the above variation of the Ulam spiral, red squares represent prime numbers and white squares represent non-primes. Image source.

visualizingmath:

The Ulam Spiral

The prime spiral, also known as Ulam’s spiral, is a plot in which the positive integers are arranged in a spiral with primes indicated in some way along the spiral. Unexpected patterns of diagonal lines are apparent in such a plot. This construction was first made by Polish-American mathematician Stanislaw Ulam (1909-1986) in 1963 while doodling during a boring talk at a scientific meeting. While drawing a grid of lines, he decided to number the intersections according to a spiral pattern, and then began circling the numbers in the spiral that were primes. Surprisingly, the circled primes appeared to fall along a number of diagonal straight lines or, in Ulam’s slightly more formal prose, it “appears to exhibit a strongly nonrandom appearance”

In the above variation of the Ulam spiral, red squares represent prime numbers and white squares represent non-primesImage source.


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devidsketchbook:

ILLUMINATED CODE FROM SPACE

Bioartis Haari Tesla (behance) - "Macrocosm and microcosm is an ancient Greek Neo-Platonic schema of seeing the same patterns reproduced in all levels of the cosmos, from the largest scale (macrocosm or universe-level) all the way down to the smallest scale (microcosm or sub-sub-atomic or even metaphysical-level). In the system the midpoint is Man, who summarizes thecosmos." - I was doing some researches  and I found experiment with miniatures of space so I decided to try my own. The result has been nebulae, galaxies and supernovae  transformed into microorganism.