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Tuesday, April 7, 2009

Instructions for flower tower

To view the image annotated with important points and markers, go to the photo page by clicking on the image.(Or here's the link

Instructions for folding the flower tower

>Start by floding the paper into 16ths, radially.

>Fix the size of the smallest polygon.

>Then fix the length of the RED line as in the pic.(It is arbitrary.) The length is measured along the radius.

>Now construct the parallelograms i.e the blue regions in the figure.

>Note that angle A and Angle B are congruent.(see notes)

>Now repeat the process over the entire polygon to construct the first iteration of the CP.

>Now fold the first iteration.Mountain and Valley folds are marked with M and V respectively.


>Note that the secondary radial lines tend to get away from their corresponding radii as the iterations progress.

>Similarly, for the second Iteration, start with a comfortable distance from the center.

>Construct the parallelograms as shown-Their reference lines can be obtained the line from the "vertex" (note). The side of the parallelogram that lies on the radius can be of arbitrary length.

>The inner most polygon doesn't have any folds and stays flat after the model is complete.

>Repeat the iterations till either your patience or the paper runs out.



The same procedure can be applied to polygons with any number of sides. All the above math is still applicable i.e the lines being parallel and the angles equal.

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