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Can some more mathy person (in laymen terms) explain how a teardrop shape (ie pointy at top, round at bottom) isn’t the same thing? Seems like that would just
by shireboy 5y ago
Can some more mathy person (in laymen terms) explain how a teardrop shape (ie pointy at top, round at bottom) isn’t the same thing? Seems like that would just have one stable and one unstable point, though I’m sure I’m missing something.
- actually_a_dog 5y agoAssuming that by "teardrop shape," you mean the thing shown in [0], it would be stable sitting on the round end, as well as sitting on its side. --- [0]: https://www.turbosquid.com/3d-models/obj-teardrop/745957 https://www.turbosquid.com/3d-models/obj-teardrop/745957
- bzax 5y agoThe teardrop side is probably either very pointy (in which case the entire shape fails to be convex), or the teardrop is too heavy and the stable points are instead around the waist of the teardrop, with the tip hanging to the side and down.
- RugnirViking 5y agounless you have an uneven weight distribution within the teardrop you can set it on its side no? The condition here is that the volume has an even mass distribution. Even if the teardrop resists being placed on its side, it seems to me that at some point along the side you must have a ring beyond which it falls the other way. The boundary would therefore consist of a ring of many unstable points