• DOI:10.1007/11589440_17
Corpus ID: 18039229

Single-Vertex Origami and Spherical Expansive Motions

@inproceedings{Streinu2004SingleVertexOA,
  title={Single-Vertex Origami and Spherical Expansive Motions},
  author={I. Streinu and W. Whiteley},
  booktitle={JCDCG},
  year={2004}
}

I. Streinu, W. Whiteley

Published in JCDCG 2004

Mathematics, Computer Science

We prove that all single-vertex origami shapes are reachable from the open flat state via simple, non-crossing motions. We also consider conical paper, where the total sum of the cone angles centered at the origami vertex is not 2π. For an angle sum less than 2π, the configuration space of origami shapes compatible with the given metric has two components, and within each component, a shape can always be reconfigured via simple (non-crossing) motions. Such a reconfiguration may not always be… CONTINUE READING

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