Origami embedding of piecewise-linear two-manifolds

被引：1

作者：

Berni, Marshall ^{[1
]}

Hayes, Barry ^{[2
]}

机构：

[1] Palo Alto Res Ctr, 3333 Coyote Hill Rd, Palo Alto, CA 94304 USA

[2] Google Inc, Mountain View, CA 94043 USA

来源：

LATIN 2008: THEORETICAL INFORMATICS | 2008年 / 4957卷

关键词：

D O I：

10.1007/978-3-540-78773-0_53

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We show that any compact, orientable, piecewise-linear two-manifold with Euclidean metric can be realized as a flat origami, meaning a set of non-crossing polygons in Euclidean 2-space "plus layers". This result implies a weak form of a theorem of Burago and Zalgaller: any orientable, piecewise-linear two-manifold can be embedded into Euclidean 3-space "nearly" isometrically. We also correct a mistake in our previously published construction for cutting any polygon out of a folded sheet of paper with one straight cut.

引用

页码：617 / +

页数：3

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