Twirls - origami models
based on the polyhedra structures
Wojciech Burczyk, PhDwww.origami.edu.pl
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www.origami.edu.pl
Conference of AMTL Creativity in the Mathematics’ Education
September 24th-25th, 2010, Līvāni, Latvia.
Base modules
SLSL SSLL
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SSFF sunk SSFF
SFSF SSSSsunkSFSF
Macro-modules correspond to polygons
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Assembly of macro-modules, single outer
spiral
Macro-modules with single outward spirals (SLSL, SFSF) are assembled in two different ways.
– edge to edge;– vertex to vertex.
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Assembly of macro-modules, double outer
spirals
It is possible to assemble macro-modules with double outward spirals (SSLL, SSFF)in four different ways.
– edge to edge;– vertex to edge;– vertex to vertex;– a double spiral vortex to a double spiral vortex.
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– a double spiral vortex to a double spiral vortex.
Edge to edge assembly (single outward
spiral)
SLSL
+ +
6
+ =
Vertex to vertex assembly (single outward
spiral)
SLSL
+ +
7
+ =
Edge to edge assembly (double outward
spiral)
SSLL
+ +
8
+ =
Vertex to edge assembly (double outward
spiral)
SSLL
+ +
9
+ =
Vertex to vertex assembly (double outward
spiral)
SSLL
+ +
10
+ =
Vortex to vortex assembly (double outward
spiral)
+ +
SSFF
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+ =
Test your knowledge about symmetry and try
to find a polyhedral structure in twirl models
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to find a polyhedral structure in twirl models
Can you see a polyhedron?
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Different structures – the same model
Can you see a polyhedron?
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Duality
Can you see
a polyhedron?
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Duality
Can you see a
polyhedron?
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Similar appearance, but different structure
Can you see
a polyhedron?
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Different appearance, but the same structure
More about twirl kusudama
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Thank You!
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