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Show y' y2 Figure 16: Geometric Units used in designing, Sanpete Valley Houses. figures, 11 may have been employed by the builders here to arrive at the minimal units. 38 Yet whether the actual process be arithmetical or geometrical, the end results, the basic shapes for rooms, were the same. The similarity between the Virginia and Sanpete figures is worth emphasizing and for this reason I have chosen to use Glassie's letter designations in this work (Figure 18). From this geometrical repertoire, the base structures of Sanpete Valley folk housing many be described. The design process began with combining the squares and rectangles into ground plans or base structures. Two different systems were used in the valley for connecting geometric units. The first is a binary construct, which may consist of a single shape, but cannot be composed of more than two units (figure 17). This basic one or two room system is firmly rooted in Anglo-American tradition and the houses generated from these structures are principally traceable to the British Isles and the Eastern United States. 39 Within this binary format, there are eight base concepts: two are single-cell houses, X and Z; three consist 97 |