|A Structure from Manipulation for Text-Graphic Images|
What is the difference between pattern structure 1 and pattern structure 2 for the same spatial arrangement of identical visual atoms?
pattern structure 1
pattern structure 2
Well, first let me cop a plea
Instead, I make some armchair predictions. If people were presented with these simple visual objects:
presentation of objects
1. If we asked people to draw the objects on a piece of paper, they would be unlikey to draw the objects in the order of pattern structure 2
ie in the order As-box, B, A, Bs-box. Rather, they would be more likey to draw them in the order of pattern structure 1 ie As-box, A, Bs-box, B (or possibly A, As-box, B, Bs-box; that's fine too, see pattern structure 3 below).
2. If we presented these objects on a computer screen and asked people which objects were grouped with what other objects
say for the purpose of dragging, ie the old "what moves with what" question then again the prediction is that pattern structure 1 would be the more likely response.
3. Likewise if we presented these objects and asked people to construct them in some graphics editor that supported grouping, pattern structure 1 would be the more likely response.
... so I call these various groupings "Structures from Manipulation" and use the fine tree lines (spider webs) to denote that structure.
Further workings of the notation:
1. Sometimes pattern order may be important, and sometimes not, in which case patterns are just sets. Thus the difference between pattern structure 1 and pattern sturcture 3 can be ignored for many purposes.
pattern structure 3
2. And, the notation can represent each structural variation.
4. There is also a computer implementation of
the notation within a graphics editor, with
facilities for processing text
5. The implementation supports only strict trees, i.e. an object can be a member of only one pattern. However, the notation can show an object with multiple parents, which might be useful for certain diagrams, as in the case below.
multiple pattern membership
* The lisp heritage of tg
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