¶ Triangling (2)
← Triangling (1) | Triangling →
Index Entry
Triangling:
"quadrangles. Let me take any triangle and I bisect its edges and the length of its edges are different, but I always get four similar triangles. There is no way you can subdivide an asymmetrical triangle and not come out with identical triangles. There is no way you can subdivide asymmetrical quadrangles and come out with the same.
If I am using triangling as my fundamental mensuration, and I have a frequency of modular subdivision of the edge (that is what we said we were doing, and what we mean by linear subdivision, and that simply means that we must divide the edges up evenly), and when I do so I always get an identical triangle. Therefore, if I am playing the game in triangulation, I don’t have to look at it absolutely symmetrically to be sure that they look nice and even. They can look like anything I like and I am still getting the same information. When I am dealing with quadrangular forms I am not getting the same information: I can be completely misled.
I suddenly found that triangling is not only more economical but it is always reliable."
¶ Citations
- Oregon Lecture #6, p.212, 10 Jul’62
