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Passage II
Technical origami, also known as origami seekei a field of origai that has developed almost hand-in-hand with the field of mathematical origami. In the early days of origami, development of new designs was largely a mix of trials and error, luck and screnedipity. With advances in origami mathematics however, the basic structure of a new origami model can be theoretically plotted out on paper before any actual folding even occurs. This method of the origami design was developed by Robert Lang in Meguro, toshuyuki and others and allows for the creation of the extremely complex multi-limbed models such as many legged-centipedes, human figures with a full compliment of finger and toes, and the like. The main starting point for such technical Design is the crease pattern (often abbreviated as CP) which is essentially the layout of the creases required to form the final model.
The main starting point for such technical design is the Crease Pattern (often abbreviated as CP) which is essentially for the layout of the creases required to form the final model. Although not intended as 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 designer choose not to produce diagrams. 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 Sequence Creased Pattern (SCP), which is a set of crease pattern showing the creases up to respective fold. The SCP eliminates the need for Diagramming programmes 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).
Paradoxically enough when origami designers came up with a creases pattern for a new design; the majority of the smaller creases are relatively unimportant and added only towards the completion of the crease pattern. What is more important is the allocations of regions of the paper and how these are mapped to the structure of the object being designed. For a specific class of origami bases 'known as uniaxial bases’, the patterns of allocations is referred to as the ‘circle packing5. Using optimisation algorithms, a ‘circle-packing’ figure can be computed for any unaxial base of arbitary complexity. Once this figure is computed, the creases which are then used to obtain the base structure can be added. This is not a unique mathematical process, hence it is possible for two designs to have same ‘circle-packing5 and yet different crease pattern structures.
As a circle encloses the maximum amount of area for a given perimeter, circle packing allows for maximum efficiency in terms of paper usage. However other polygon shapes can be used to solve the packaging problem as well. The use of polygonal shapes other than circles is often motivated by the desires to find easily locatable creases (such as multiples of 22.5 degrees) and hence an folding sequence as well easier one popular offshoot of the circle packing method is box-pleating. Where squares are used instead of circles as a result, the crease pattern that arises from this method contains 45 and 90 angles which makes for easier folding.
Technical origami, also known as origami seekei a field of origai that has developed almost hand-in-hand with the field of mathematical origami. In the early days of origami, development of new designs was largely a mix of trials and error, luck and screnedipity. With advances in origami mathematics however, the basic structure of a new origami model can be theoretically plotted out on paper before any actual folding even occurs. This method of the origami design was developed by Robert Lang in Meguro, toshuyuki and others and allows for the creation of the extremely complex multi-limbed models such as many legged-centipedes, human figures with a full compliment of finger and toes, and the like. The main starting point for such technical Design is the crease pattern (often abbreviated as CP) which is essentially the layout of the creases required to form the final model.
The main starting point for such technical design is the Crease Pattern (often abbreviated as CP) which is essentially for the layout of the creases required to form the final model. Although not intended as 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 designer choose not to produce diagrams. 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 Sequence Creased Pattern (SCP), which is a set of crease pattern showing the creases up to respective fold. The SCP eliminates the need for Diagramming programmes 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).
Paradoxically enough when origami designers came up with a creases pattern for a new design; the majority of the smaller creases are relatively unimportant and added only towards the completion of the crease pattern. What is more important is the allocations of regions of the paper and how these are mapped to the structure of the object being designed. For a specific class of origami bases 'known as uniaxial bases’, the patterns of allocations is referred to as the ‘circle packing5. Using optimisation algorithms, a ‘circle-packing’ figure can be computed for any unaxial base of arbitary complexity. Once this figure is computed, the creases which are then used to obtain the base structure can be added. This is not a unique mathematical process, hence it is possible for two designs to have same ‘circle-packing5 and yet different crease pattern structures.
As a circle encloses the maximum amount of area for a given perimeter, circle packing allows for maximum efficiency in terms of paper usage. However other polygon shapes can be used to solve the packaging problem as well. The use of polygonal shapes other than circles is often motivated by the desires to find easily locatable creases (such as multiples of 22.5 degrees) and hence an folding sequence as well easier one popular offshoot of the circle packing method is box-pleating. Where squares are used instead of circles as a result, the crease pattern that arises from this method contains 45 and 90 angles which makes for easier folding.
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