Domes and Pyramids

Joseph O’Rourke () and Costin Vîlcu ()
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Joseph O’Rourke: Smith College
Costin Vîlcu: Romanian Academy

Chapter Chapter 3 in Reshaping Convex Polyhedra, 2024, pp 29-37 from Springer

Abstract: Abstract One of our goals in this work, achieved in Theorem 4.6 , is to show that if Q can be obtained from P by sculpting, then it can also be obtained from P by tailoring.tailoringvia sculpting A key step (Lemma 4.1 ) repeatedly slices off shapes we call g-domes.g-dome Each g-dome slice can itself be achieved by slicing off pyramids,pyramid i.e., by suitable vertex truncations.truncationvertex Lemma 4.4 will show that slicing off a pyramid can be achieved by tailoring, and thus leading to Theorem 4.6 .

Date: 2024
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DOI: 10.1007/978-3-031-47511-5_3

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