Rigid origami vertices: Conditions and forcing sets
arXiv preprint arXiv:1507.01644, 2015•arxiv.org
We develop an intrinsic necessary and sufficient condition for single-vertex origami crease
patterns to be able to fold rigidly. We classify such patterns in the case where the creases
are pre-assigned to be mountains and valleys as well as in the unassigned case. We also
illustrate the utility of this result by applying it to the new concept of minimal forcing sets for
rigid origami models, which are the smallest collection of creases that, when folded, will
force all the other creases to fold in a prescribed way.
patterns to be able to fold rigidly. We classify such patterns in the case where the creases
are pre-assigned to be mountains and valleys as well as in the unassigned case. We also
illustrate the utility of this result by applying it to the new concept of minimal forcing sets for
rigid origami models, which are the smallest collection of creases that, when folded, will
force all the other creases to fold in a prescribed way.
We develop an intrinsic necessary and sufficient condition for single-vertex origami crease patterns to be able to fold rigidly. We classify such patterns in the case where the creases are pre-assigned to be mountains and valleys as well as in the unassigned case. We also illustrate the utility of this result by applying it to the new concept of minimal forcing sets for rigid origami models, which are the smallest collection of creases that, when folded, will force all the other creases to fold in a prescribed way.
arxiv.org
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