The present invention provides for multiple portions of a shoe structure and the method of making these portions wherein one or more of the portions comprise two or more flat perimeter edges. The present invention further provides faceted lasts for making faceted shoe portions. An exemplary embodiment (FIG. 9) of a shoe having a faceted outsole, rand, and shoe upper of the present invention features five separate straight-line facets (30-34) and six angled corners (40-45). Alternative degrees of the angle formed by the intersection of the various straight-line facets, and the number of the various straight-line facets, can be varied for different types of foot structures. For example, the angle degrees and number of outsole facets may vary as between shoes for adult males and for women and children's feet. Facet (30) and facet (32) contact exemplary edge formations (4a, 4b) respectively with outsole contact areas (7a-1, 7b-1). Further, facets (30, 32) contact exemplary rock wall faces (5, 6) respectively with rand surface area (7c-1, 7d-1).