Tailoring via Flattening

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

Chapter Chapter 8 in Reshaping Convex Polyhedra, 2024, pp 87-96 from Springer

Abstract: Abstract In this chapter, we prove yet another method for tailoringtailoringvia flattening P to Q, which mixes digon-tailoringtailoringdigon- steps with vertex-mergingvertex-merging steps (Sect. 2.6 ). The result is slightly weaker than tailoringtailoringvia sculpting via sculpting, either with digons (Theorem 4.6 ) or with crests (Theorem 7.6 ), weaker in the sense that the resulting scaled copy of Q could be arbitrarily small. Nevertheless, the proof and algorithm have the advantage of operating entirely intrinsically:intrinsic the 3D structure of P and Q is never invoked.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-47511-5_8

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DOI: 10.1007/978-3-031-47511-5_8

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