six fold pattern - defining one element

hi,

i saw a few very pleasing examples of these six-fold-pattern done by Caglar, so i tried to do something like that (six fold pattern with point constraint), but i stuck while connecting things together.

i dont know how to control the different parametrization of the two set of lines (see attached example). in my opinion i have to use a reciprocal function x+(1-x)=1 to get the result i want (decreasing one value means increasing the other value by the same factor), but i have no idea how to do that.

which method would you choose to control the relation between the rotating point (constraint) and the midpoints of the hexagon?

thx,

morphedian

http://morphedian.blogspot.com/

Attachments:

6-fold-pattern---02.jpg, 104 KB
six fold pattern.ghx, 459 KB

Replies to This Discussion

Permalink Reply by Theodor Wender on September 25, 2010 at 8:51am

Hi!

Added is the file with the "remade" sixfoldpattern. I tried to come close - there might be some fine-tune-configuration left for you to play around....

Attachments:

Sixfoldpattern_redone.ghx, 282 KB

Permalink Reply by morphedian on September 27, 2010 at 1:31am

Theodor,

thank you very much! it is very surprising how much more efficient your code is...

morphedian

http://morphedian.blogspot.com/

Permalink Reply by Caglar on September 26, 2010 at 11:52am

let me have your email so i can send you the original definition. i believe there should be less complex methods of doing what the reciprocal function does. i tend to use the inverse vector or similar methods.

there is an image of the same pattern in my gallery. you can have a look. everything is controlled by the size and division of the circles positioned along the hexagonal grid. (those patterns were originally built with only a compass and a ruler.) the distance from the point along the peripheral circle to the grid points define the relation between the circles that form the angle of the stars inside.

Permalink Reply by morphedian on September 27, 2010 at 1:30am