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submitted 6 months ago by ViscloReader@lemmy.world to c/math@lemmy.world

This is a recurring pattern I see when making infinite grid. I figured there might be a name to this "fractal" if I may call it that way. Does it even have a name?

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[-] thesmokingman@programming.dev 10 points 6 months ago

Okay after posting I realized what I was looking at. My initial assessment was correct. In a truly infinite grid, we would never seen the background (the blue/white). What we’re seeing here is influenced by the render distance. You continue to see the same shape when you move around because this program is only displaying so many cubes in any direction when you move. I strongly suspect you’d get similar but different outlines if you changed the render distance. It’s a partitioning of the visual space using a coordinate display.

[-] ReveredOxygen@sh.itjust.works 2 points 6 months ago

That might be the case with the diagonal lines, but for the horizontal one there just truly aren't any blocks, since the player is in between to layers

[-] thesmokingman@programming.dev 3 points 6 months ago

That’s still rendering distance and visual perception. We see a large gap because the rendering distance is relatively low. If the rendering distance extends to infinity, our ability to see the gap disappears even though there is still a gap. We’re basically looking at a one point perspective. The way we represent that, both on paper or digitally, is have parallel lines meet at infinity in a single point.

this post was submitted on 10 Feb 2024
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