In math, there can be more complexity without complex numbers

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Photo by rawpixel on Unsplash
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Some prime numbers in Z[√−2] as cyan dots. The black dot is 0, the green dots on the same horizontal line as 0 are −2 and 2. The dark blue dot is 3 and the cyan dot above it is 3 + √−2. The magenta circle is centered on 3 + √−2 and has a diameter of 2√3.
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Some prime numbers in Z[√−2] as cyan dots. This is at 2 pixels per unit interval if viewed at full resolution.
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Some prime numbers in Z[√2] as cyan lines. I can’t vouch for the mathematical accuracy of this diagram.
Test divisor is 1 + sqrt(10)
Test divisor is 2 + sqrt(10)
Test divisor is 3 + sqrt(10)
Test divisor is 3 + sqrt(10)
Test divisor is 3 + sqrt(10)
Test divisor is 3 + sqrt(10)
Test divisor is 3 + sqrt(10)
Test divisor is 3 + sqrt(10)
Test divisor is 3 + sqrt(10)
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Output of the first draft of my program to draw a diagram of primes in the ring of algebraic integers of Q(√2/2 + √−2/2).

is a composer and photographer from Detroit, Michigan. He has been working on a Java program to display certain mathematical diagrams.

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