Remarks on the Surface Area and Equality Conditions in Regular Forms Part IV: Pyramidal Forms

Abstract

Following the same methodology and rules that were applied in the previous Parts I–III of this work, Part IV presents the mathematical remarks on the right regular pyramidal forms, either complete or truncated (a frustum of pyramid). The first remark examines the effects of θ and β on S. The second remark calculates the minimum total surface area (SMin) in two cases, case of constant θ (variable β) and case of variable θ (constant β). The third remark calculates walls ratio RWand the critical walls ratio RWo. The last remark calculates the numerical equality between S and V. In conclusion, the importance of the findings of the entire work (Parts I–IV) in advanced building analysis is highlighted and discussed.