Dan's Prime Logs
by Dan Bach
Title
Dan's Prime Logs
Artist
Dan Bach
Medium
Digital Art - Inkjet Print
Description
The colored cylinders have length log(p) for various primes, starting with p = 2: red, 3: green, etc. Each number n, from 2 to 42, has a prime factorization n = p1 * p2 * … * pk, so that log(n) = log(p1) + … + log(pk). This makes the prime logs stack up just right! Read off the factorizations of various n’s from the picture. The sun is made up of cyclotomic integers: linear combinations of fifth roots of unity in the complex plane. (Drawn in Mathematica and imported into Pixelmator.)
Uploaded
January 4th, 2023
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