3 ms·
> cone For physical tiles, clearly not as the curvature would be wrong. I'm sure there remain interesting questions, but it's not sufficiently obvious to me w
by dllthomas 3y ago
> cone
For physical tiles, clearly not as the curvature would be wrong. I'm sure there remain interesting questions, but it's not sufficiently obvious to me what projection makes sense that I'm able to get further into the problem.
- deleted 3y ago[deleted]
- empath-nirvana 3y agoA cone has the same curvature as the plane.
- dllthomas 3y agoNot for any definition of curvature that springs to mind. There may well be definitions for which that's true (let me know, I'm curious!), but they're not what I meant. As I said, I was considering covering a cone with physical tiles. My point was that the same tile cannot be placed at different heights along the cone, because a slice along the tile will have to conform to ever larger circles.
- bollu 3y agoHow do you define the curvature for a cone when it has a singularity at the apex? From the definion that I know (angle defect), the tip of the cone will have curvature
- vjerancrnjak 3y agoI now realized I wanted to say cylinder, not cone haha.
- dllthomas 3y agoThat's also interesting! Assuming it's possible at all, I think scale winds up mattering in a way that it doesn't for a plane, because you have to accommodate "meeting yourself" again some fixed distance away.