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designer choose not to produce diagrams. For example, an algorithm for the automatic development of crease patterns for certain polyhedra with discrete rotational symmetry by composing right frusta has been implemented via a CAD program. The program allows users to specify a target polyhedron and generate a crease pattern that folds into it. Still, there are many cases in which designers wish to sequence the steps of their models but lack the means to design clear diagrams. Such origamists occasionally resort to the
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65:(SCP) which is a set of crease patterns showing the creases up to each respective fold. The SCP eliminates the need for diagramming programs or artistic ability while maintaining the step-by-step process for other folders to see. Another name for the sequenced crease pattern is the progressive crease pattern (PCP).
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Although not intended as a substitute for diagrams, folding from crease patterns is starting to gain in popularity, partly because of the challenge of being able to 'crack' the pattern, and also partly because the crease pattern is often the only resource available to fold a given model, should the
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began to design using crease patterns. This allowed them to create with increasing levels of complexity, and the art of origami reached unprecedented levels of realism. Now most higher-level models are accompanied by crease patterns.
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diagram that consists of all or most of the creases in the final model, rendered into one image. This is useful for diagramming complex and super-complex models, where the model is often not simple enough to diagram efficiently.
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Herng Yi, Cheng; Kang Hao, Cheong (2012). "Designing crease patterns for polyhedra by composing right frusta".
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401:Geometric Exercises in Paper Folding
422:A History of Folding in Mathematics
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322:Alexandrov's uniqueness theorem
139:Crease patterns at Lang Origami
20:Crease pattern for a swordsman
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260:Regular paperfolding sequence
84:"Crease Patterns for Folders"
408:Geometric Folding Algorithms
175:Mathematics of paper folding
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458:Margherita Piazzola Beloch
229:Yoshizawa–Randlett system
122:10.1016/j.cad.2011.11.002
429:Origami Polyhedra Design
63:sequenced crease pattern
219:Napkin folding problem
88:Robert J. Lang Origami
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110:Computer-Aided Design
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379:Fold-and-cut theorem
335:Steffen's polyhedron
199:Huzita–Hatori axioms
189:Big-little-big lemma
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508:Toshikazu Kawasaki
331:Bricard octahedron
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82:Lang, Robert.
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93:19 September
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528:KĹŤryĹŤ Miura
523:Jun Maekawa
498:KĂ´di Husimi
214:Map folding
54:Peter Engel
50:Jun Maekawa
518:Anna Lubiw
351:Common net
276:Miura fold
38:Neal Elias
436:Origamics
315:Polyhedra
558:Category
493:Tom Hull
463:Yan Chen
346:Blooming
250:Flexagon
564:Origami
30:origami
446:People
301:Sonobe
95:2023
52:and
341:Net
118:doi
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