(c) Copyright AZUMA Hideaki. All rights reserved.

(Last updated: February 17, 2008)

Bird base diagrams on a square in another deformation [with preserving each foldable and symmetric structure: invariance under 180°[π (rad)]- rotation at the center of the square in the following examples], also based on the methods given by Mr. J. Maekawa:

The deformation begining with the standard diagram is as follows:

[Smoothly variation depends on appropriate manual control of the vertical slide bar in the right side of your window...]

↓

- diagram [might be] considered as the limit of above deformation -

>> Click each image to see in larger scales <<

References:Andin the category: diagrams in variation at the site:ManyFolds in Variety.

The deformation begining with the standard diagram is as follows:

[Smoothly variation depends on appropriate manual control of the vertical slide bar in the right side of your window...]

↓

- diagram [might be] considered as the limit of above deformation -

>> Click each image to see in larger scales <<

References:Andin the category: diagrams in variation at the site:ManyFolds in Variety.

(Last edited: April 3, 2006)

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Bird base diagrams on a square in deformation [with preserving each foldable symmetric structure: invariance under the reflection with the (horizontal) diagonal of the square in the following examples], based on the methods given by Mr. J. Maekawa:

Here the deformation starts from the standard diagram:

[Appropriate control of the slide bar on the right side of your window will make smoothly animated variation, we suppose...]

↓

- diagram for the limit of above deformation -

>> Click each image to see in larger scales <<

References:Andin the category:diagrams in variation at the site:ManyFolds in Variety.

Here the deformation starts from the standard diagram:

[Appropriate control of the slide bar on the right side of your window will make smoothly animated variation, we suppose...]

↓

- diagram for the limit of above deformation -

>> Click each image to see in larger scales <<

References:Andin the category:diagrams in variation at the site:ManyFolds in Variety.

(Last edited: April 3, 2006)

0

To wrench paper in folding further than those in the preceding article:

Some continuation of "leaves and variations" -6-,

the following screwed triangular prisms

- those correspond to respective cases in the preceding article -

will be produced:

>> Click each image to see in larger scales <<

Some continuation of "leaves and variations" -6-,

the following screwed triangular prisms

- those correspond to respective cases in the preceding article -

will be produced:

>> Click each image to see in larger scales <<

Material: A sheet of A4 sized Japanese paper with a piece of adhesive tape (to stick the folded structure in circular together) for each structure.

Date: March 14-15, 2006

Photo date: March 16, 2006

5

The diagram that has appeared in the preceding article: Some continuation of "leaves and variations" -5"- is also considered as a diagram of the following spatial object:

A development of a [flat] slant quadrilateral prism with triangulation (diagram in the right side) will be 'wrenched' into a spatial structure of wrinkled quadrilateral prism (picture in the left side: from its side and top as folded ).

For comparison to the above structure: a picture and a diagram of a helical twisted structure on a [flat] slant quadrilateral prism.

>> Click each image to see in larger scales <<

A development of a [flat] slant quadrilateral prism with triangulation (diagram in the right side) will be 'wrenched' into a spatial structure of wrinkled quadrilateral prism (picture in the left side: from its side and top as folded ).

For comparison to the above structure: a picture and a diagram of a helical twisted structure on a [flat] slant quadrilateral prism.

>> Click each image to see in larger scales <<

Material: A sheet of A4 sized Japanese paper with a piece of adhesive tape (to stick the folded structure in circular together) for each structure.

Date: March 14-15, 2006

Photo date: March 16, 2006

23

- Viewed from different angles (ii) -

>> Click each image to see in larger scales <<

Material: A sheet of A4 sized Japanese paper with a piece of adhesive tape (to stick the folded structure in circular together).

Date: March 12-13, 2006

Photo date: March 14, 2006

References:

Some continuation of "leaves and variations" -5-,

Some continuation of "leaves and variations" -5'-.

Some continuation of "leaves and variations" -5'-.

2