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« Non- 'Hira-Ori' foldable tiling | Main | Foldable tiling: homeomorphic to the preceding structure »
2005/7/15
「Foldable tiling: another example」 foldable tilings
An applied result of the previous article: "Twisted folding around a triangle #3", that is also homeomorphic to the not foldable tiling.
It consists of the patterns that are based on the twisted folding around a regular triangle [at its Brocard angle, that is evaluated at π/6(rad) (30°) in this case]. If every edge of the triangles colored in light bamboo-green is set into a mountain-crease, while every edge of the other triangles - colored in light yellow-green - is set into a valley-crease, then the rest of edges in the diagram will be uniquely defined into mountain/valley- creases because of the [flatly] folding conditions.
Then the diagram will be folded into:
>>Click each image to see the larger picture<<
1
It consists of the patterns that are based on the twisted folding around a regular triangle [at its Brocard angle, that is evaluated at π/6(rad) (30°) in this case]. If every edge of the triangles colored in light bamboo-green is set into a mountain-crease, while every edge of the other triangles - colored in light yellow-green - is set into a valley-crease, then the rest of edges in the diagram will be uniquely defined into mountain/valley- creases because of the [flatly] folding conditions.
Then the diagram will be folded into:
>>Click each image to see the larger picture<<
1
投稿者: kaishonashi
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