**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.)**

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**Copyright © by ****Nila**** Gaede 200****8**