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submitted 5 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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[-] BradleyUffner@lemmy.world 18 points 5 months ago

That's a 3d moiré pattern.

[-] thesmokingman@programming.dev 4 points 5 months ago

Fascinating! I wouldn’t have thought to apply that term in this context.

[-] thesmokingman@programming.dev 7 points 5 months ago

In layman’s terms, a fractal shows the same shape when we zoom in or zoom out. At first blush, this doesn’t seem like it would have similar form if we zoom in on, say, the center middle. I don’t want to totally discount you because some fractals have several iterations that aren’t immediately obvious.

What I think we’re seeing here is just artifacts in the rendering algorithm of whatever it is you’re sharing. Can you give more context on what this is?

[-] thesmokingman@programming.dev 10 points 5 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 5 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 5 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.

[-] mozz@mbin.grits.dev 4 points 5 months ago

What's up with those 2 glass blocks in places they shouldn't be, partly obscuring the regions that are supposed to be empty of blocks

[-] Taako_Tuesday@lemmy.ca 4 points 5 months ago

Those are ice blocks, and they seem to always be present whenever there's a Sugar cane block. Not sure why though, it would have to be a choice made by the original mapmaker

[-] ReveredOxygen@sh.itjust.works 2 points 5 months ago

Probably so you can have water to grow the sugar cane. In modern versions though, it has to have a block below to actually make water. Maybe that's not the case in this version, the screenshot is ancient

[-] AnyOldName3@lemmy.world 1 points 5 months ago

It's more than two. I can see a few glass blocks stuck to the left of dirt blocks, jutting into supposedly empty regions.

[-] aubeynarf@lemmynsfw.com 1 points 5 months ago

Indra’s Net

this post was submitted on 10 Feb 2024
31 points (87.8% liked)

math

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