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Shephard's Algorithm for Two Convex Polyhedra with a Common Net
The same net can be folded up into two different convex polyhedra.
Contributed by:
Izidor Hafner
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This Demonstration is based on Figure 25.8 [1, p. 389], which is attributed to Shephard [2].
Reference
[1] E. D. Demaine and J. O'Rourke,
Geometric Folding Algorithms: Linkages, Origami, Polyhedra
, New York: Cambridge University Press, 2007.
[2] G. C. Shephard, "Convex Polytopes with Convex Nets."
Mathematical Proceedings of the Cambridge Philosophical Society
,
78
, 1975 pp. 389–403.
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PERMANENT CITATION
Izidor Hafner
"
Shephard's Algorithm for Two Convex Polyhedra with a Common Net
"
http://demonstrations.wolfram.com/ShephardsAlgorithmForTwoConvexPolyhedraWithACommonNet/
Wolfram Demonstrations Project
Published: July 24, 2020
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