This is neat. I knew the earth analogy before, but still felt confused about whether some shapes should be considered manifolds. I like the checking method on this slide. Very simple and straightforward.
keenan
@eryn Yep, the definition of manifold connectivity for a polygon mesh is way easier to comprehend than the formal definition of a manifold. Often these discrete analogies are useful "scaffolding" for eventually understanding the more difficult, smooth concepts. There is a course called Discrete Differential Geometry next spring that really takes this approach.
jacheng
It seems like you could still generate something like the star shape but still being manifold by using a very small cylinder in place of the single middle edge
This is neat. I knew the earth analogy before, but still felt confused about whether some shapes should be considered manifolds. I like the checking method on this slide. Very simple and straightforward.
@eryn Yep, the definition of manifold connectivity for a polygon mesh is way easier to comprehend than the formal definition of a manifold. Often these discrete analogies are useful "scaffolding" for eventually understanding the more difficult, smooth concepts. There is a course called Discrete Differential Geometry next spring that really takes this approach.
It seems like you could still generate something like the star shape but still being manifold by using a very small cylinder in place of the single middle edge