1. A pattern is an incomplete edge or perimeter, for example, a portion or cutout of the perimeter of a
square or a segment of a circumference. It is understood that a pattern is a portion of a perimeter, a
segment of the edge or boundary of an underlying figure; a pattern does not have independent
existence. A straight pattern is equivalent to a straight edge, both of which imply that the observer sees
only a segment of a 2D figure.
Is an angle an object? If so, the angle is strangely an unfinished object. An angle is not enclosed all
around like an ideal table or a circle. Therefore, an angle, like an edge, is not an object in its own right.
For example the letter 'c' can be conceptualized as a completed 'c', in which case we can regard it as an
object contoured by edges bordering it completely around. Another perspective shows the 'c' as an
incomplete 'o', in which case, despite being 2D, it is actually proposed as the edge of an object whose
construction is still in progress. I will use the word pattern to refer to incomplete geometries such as
angles, parallels and perpendiculars. From a conceptual point of view, the angle is not an object formed
by two 2D objects such as rectangular Euclidean lines, but an incomplete pattern formed by two edges.
(By the way, an edge is also a pattern.)
Copyright © by Nila Gaede 2008