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Tailoring via Flattening

In: Reshaping Convex Polyhedra

Author

Listed:
  • Joseph O’Rourke

    (Smith College)

  • Costin Vîlcu

    (Romanian Academy)

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.

Suggested Citation

  • Joseph O’Rourke & Costin Vîlcu, 2024. "Tailoring via Flattening," Springer Books, in: Reshaping Convex Polyhedra, chapter 0, pages 87-96, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-47511-5_8
    DOI: 10.1007/978-3-031-47511-5_8
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