Does anyone have some intuition for what the single "fan" refers to? Does it basically mean the polygons must all lie in the same plane?
I'm also wondering about this. What exactly is a "fan" in this context?
@cs248acct @sweyns Here's my attempt at a definition; what do you think?
A "fan" around a vertex $v$ is a set of faces adjacent to $v$ such that any two faces share an edge.
hmm, I think the top-right image is a fan though, and it has many faces that don't share an edge (e.g. any of the faces that are opposite each other)
Like a fan!
https://www.amazon.com/Delicate-Cherry-Blossom-Design-Folding/dp/B005NZP8P4/ref=asc_df_B005NZP8P4/
If you use the algorithm here, you can walk along all triangles sharing the vertex.
I'm wondering if there are other rules to determine manifolds instead of fans and fins? I found it a little hard for me to judge in this way. Thx!
Does anyone have some intuition for what the single "fan" refers to? Does it basically mean the polygons must all lie in the same plane?
I'm also wondering about this. What exactly is a "fan" in this context?
@cs248acct @sweyns Here's my attempt at a definition; what do you think?
A "fan" around a vertex $v$ is a set of faces adjacent to $v$ such that any two faces share an edge.
hmm, I think the top-right image is a fan though, and it has many faces that don't share an edge (e.g. any of the faces that are opposite each other)
Like a fan!
https://www.amazon.com/Delicate-Cherry-Blossom-Design-Folding/dp/B005NZP8P4/ref=asc_df_B005NZP8P4/
If you use the algorithm here, you can walk along all triangles sharing the vertex.
I'm wondering if there are other rules to determine manifolds instead of fans and fins? I found it a little hard for me to judge in this way. Thx!