[REQ] Kset Tilable Surfaces

http://web.mysites.ntu.edu.sg/cwfu/public/Shared%20Documents/kquad/kquad.htm
Not sure if a plugin based on this is feasible to develop, but perhaps someone could give it a look.
[flash=640,385:17elqil2]http://www.youtube.com/v/M6cb81vCew&color1=0xb1b1b1&color2=0xd0d0d0&hl=en_US&feature=player_embedded&fs=1[/flash:17elqil2]Also related Triangle Surfaces with Discrete Equivalence Classes http://faculty.cs.tamu.edu/schaefer/research/index.html

Looks like a job for 'Fredo' or 'Regular Polygon'

Hey guys, this is the function i was referring to when incorporating this type of effect.
Here are some of the directions on how to do this  give the fact that Fredo's scale plugin can skew a component without editing the original. If someone could come up with a way to do this to a selected set of polygons  you could ideally make one component control a whole set of geometries.Here's the link :
http://forums.sketchucation.com/viewtopic.php?f=18&t=24163 (check the last post  it shows how different polygons can use the same component). I'll also attach a copy of the sketch up file

Sounds similar... But that last post makes quite difference. In those papers... they try to find a groups of components (polygons) that keep the new generated form close the original. Not sure how feasible this is to your last example. But perhaps if generated components are replaced with some other with suitable tiling context.

hehe, yea i know, its a bit of a cheat, but would be great to identify all the similar polygons by color (via paintbucket?) and then just make components out of each. But would it be possible to change the variations (K?):)

Unfortunately, I couldn't download the Kset Tilable Surfaces paper from the ACM. You either have to purchase a membership, or purchase the article.
The paper, Triangle Surfaces with Discrete Equivalence Classes, at http://faculty.cs.tamu.edu/schaefer/research/index.html, explained the algorithm pretty well. But it looks pretty complicated.
I think it is an interesting problem. But I wonder how often people actually need to model a surface with tiles that have exactly K distinct shapes?

@regular polygon said:
Unfortunately, I couldn't download the Kset Tilable Surfaces paper from the ACM. You either have to purchase a membership, or purchase the article.
I have that covered... just pm.
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