• pmk@lemmy.sdf.org
    link
    fedilink
    English
    arrow-up
    19
    ·
    5 days ago

    Exactly three times as many? Do you count all surfaces that form triangles or only the white ones?

    • The Quuuuuill@slrpnk.net
      link
      fedilink
      English
      arrow-up
      15
      ·
      5 days ago

      If I understand where this us going, the additional triangles will all be of the small white variety to hit the target of 3x triangle increase. If we consider negative space triangles and composite triangles, the next phase of the fractal will probably have more than 3x the triangles but that math is hard and I don’t have a notebook

      • Leate_Wonceslace@lemmy.dbzer0.com
        link
        fedilink
        English
        arrow-up
        8
        ·
        5 days ago

        Looking at the image from here in my bed, it looks like with each iteration, you get 3x as many white triangles, and 3x+1 as many black triangles between white triangles as there were before. At iteration 1, you have 1 white triangle and 0 black triangles.

        I’m too lazy to double check.