Titlebook: Reshaping Convex Polyhedra; Joseph O‘Rourke,Costin V?lcu Book 2024 The Editor(s) (if applicable) and The Author(s), under exclusive licens

Ataxia

Introduction to Part IWe begin with some background on convex polyhedra, setting the context for our results. The discussion in this section will be mostly informal and elementary, with formal definitions and statements deferred to later chapters.

Dendritic-Cells

Tailoring via SculptingIn this chapter we complete the proof that one slice of . by plane . can be tailored to the face of . lying in ., following the sequence.The previous chapter established the g-domes → pyramids reduction. Here we first prove the relatively straightforward slice → g-domes process and then concentrate on the more complex pyramid → tailoring step.

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CrestsIn this chapter we revisit the suggestion made at the end of Chap. . that the digons to reduce one pyramid to its base could be cut out all at once, thus yielding an additional tailoring method.

jagged

藕床生厭倦

Nebulizer

Vertex-Merging Reductions and Slit GraphsIn this chapter we initiate the systematic study of repeated vertex-mergings, already used in Chap. .. We introduce vertex-merging reductions and their associated slit graphs and derive their basic properties for later use.

MITE

Planar Spiral Slit TreeThe previous chapter showed that if the slit graph . of a vm-reduction is a tree, then we can unfold . to the plane, and possibly to a non-overlapping net.

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Obsessed

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