itronitron 1 day ago

Interesting, I'm tempted to apply this towards routing minecart rails in Minecraft.

1
l3x4ur1n 1 day ago

Can you explain?

itronitron 21 hours ago

Like teeray mentions, if we can define any knot as a path through a Menger Sponge then that path could be realized in a Minecraft world (since it is cube/block/voxel based.)

If you placed minecart rails along the knot plot then you could ride it like a roller coaster.

Maybe this was the initial motivation for the teenagers.

teeray 22 hours ago

Not parent, but I assume the idea is that you could form this fractal by hand (all or in part) in any 3D Minecraft terrain. Then you could route rails according to the theorem.