Post without words #32

Posted on June 8, 2021 by Brent

About Brent

Associate Professor of Computer Science at Hendrix College. Functional programmer, mathematician, teacher, pianist, follower of Jesus.
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8 Responses to Post without words #32

  1. Denis says:
    June 8, 2021 at 11:41 am

    I understand everything except the second image, I think.

    • Brent says:
      June 8, 2021 at 9:35 pm

      The second image is built on exactly the same principle as all the others. I don’t know if the coloring scheme is throwing you off; don’t try to read too much into the colors, which I chose only to make things look nice.

      • Sjoerd 슕 Visscher (@sjoerd_visscher) says:
        June 11, 2021 at 10:33 am

        I thought the same! There’s the sequence: 1×1+1,1×2+1,2×2+1,2×3+1,3×3+1. Which would mean 3 colors for the second image, in lines at 45 degrees. Would that one also fit your pattern?

        • Denis says:
          June 11, 2021 at 10:37 am

          Oh, I had miscounted the last image – I thought it was a cycle of 11 and the others were 2, ?, 5, 7.

        • Brent says:
          June 11, 2021 at 8:20 pm

          There’s actually no particular pattern to the *sequence* of images; I just chose various ones that are all generated by the same scheme. But yes, 3 colors in lines at 45 degrees is one possible image that can be generated by this scheme.

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  3. Not_Brick says:
    July 5, 2021 at 10:16 pm

    I understand all the images except the 4th as residue classes mod some Gaussian integer.

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