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What is the meaning for topology in SW context?
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Doing a quick search through the help files, I found this:
2015 SOLIDWORKS Help - Topology Recognition
It sounds like topology means recognizing things based on the shape and the structure of the outside surface
Also, see this:
Topology - Wikipedia
Although I think that I am just scratching the surface here. There is probably a much deeper meaning that I am not getting to.
Which one is most appropriate one for SW?
Well, It is kind of unclear to me actually.
But if you look at this help file: 2015 SOLIDWORKS Help - DimXpert Features
You will see a column labeled "Topology" in which every cell is a description of a shape and how it relates to the surrounding features.
So, just based on that, I would say that Solidworks defines topology as shapes (bodies or surfaces) and how they affect each other.
In the 1st example only non-planar surface is defined as Topology and planar surface is left out. But in the 2nd example planar surface is defined as Topology. How will you see this differences?
It is all Topology. Everything to do with the surfaces of the part is Topology, whether it is planar or not.
It is like saying "animal". How do you know I am talking about a Tiger or a bear? You don't until I define it further.