Inflating the cube by shrinking

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Inflating the cube by shrinking

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Annual Symposium on Computational Geometry archive
Proceedings of the twenty-third annual symposium on Computational geometry table of contents

Gyeongju, South Korea

SESSION: Session 4A: video session table of contents

Pages: 125 - 126

Year of Publication: 2007

ISBN:978-1-59593-705-6

Authors

Kevin Buchin	Freie Universität Berlin, Berlin, Germany
André Schulz	Freie Universität Berlin, Berlin, Germany

Sponsors

SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
ACM: Association for Computing Machinery
SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques

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ACM New York, NY, USA

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Downloads (6 Weeks): 2, Downloads (12 Months): 30, Citation Count: 1

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ABSTRACT

We present a continuous submetric deformation of the surface of thecube which increases the enclosed volume by about 25.67.

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	A.D. Alexandrov. Convex polyhedra. Springer Monographs in Mathematics. Springer, 2005. Original Russian edition published by Gosudarstv. Izdat. Tekhn.-Teor. Lit., Moscow-Leningrad, 1950.
	2	D.D. Bleecker. Volume increasing isometric deformations of convex polyhedra. J. Diff. Geom., 43(3):505--526, 1996.
	3	Kevin Buchin , André Schulz, Inflating the cube by shrinking, Proceedings of the twenty-third annual symposium on Computational geometry, June 06-08, 2007, Gyeongju, South Korea [doi>10.1145/1247069.1247091]
	4	Y.D. Burago and V.A. Zalgaller. Isometric piecewise-linear embeddings of two-dimensional manifolds with a polyhedral metric into R<sup>3</sup>. St. Petersburg Math. J., 7:369--385, 1996.
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	6	A.D. Milka. Linear bendings of regular convex polyhedra (in russian) Mat. Fiz. Anal. Geom., 1:116--130, 1994.
	7	I. Pak. Inflating polyhedral surfaces. Preprint, Department of Mathematics, MIT, 2006. 37 pp.
	8	I. Pak. Inflating the cube without stretching. arXiv:math.MG/0607754, 2006. 3 pp. to appear in Amer. Math. Monthly.