question about hexagon planar plan

Replies to This Discussion

Permalink Reply by Zuardin Akbar on February 14, 2012 at 9:57pm

anybody?

Permalink Reply by Daniel Piker on February 15, 2012 at 1:32am

Hi Adin,

Tiling your surface with convex planar hexagons in a watertight way is mathematically impossible, because it has regions of negative Gaussian curvature.

So you have a few options  - allow some gaps, or overlaps, include some non hexagonal faces(eg replacing the vertices with triangles), or (and I think most interestingly) - use some concave hexagons. See this discussion http://www.grasshopper3d.com/xn/detail/2985220:Comment:242537

Permalink Reply by taz on February 15, 2012 at 1:55pm

P.S. The hexagons in your photo are not flat.  They have visible curvature.

Permalink Reply by taz on February 15, 2012 at 1:58pm

P.P.S. For your project example the hexagons are unrolled for cutting.

http://www.archdaily.com/125764/exotique-projectione/

http://www.projectione.com/exotique/

Permalink Reply by taz on February 15, 2012 at 2:11pm

P.P.P.S. This is my 1000 post! (But who's counting...)

Permalink Reply by Martin Dembski on February 15, 2012 at 5:02pm

Congratulations taz!!!  ^^

Permalink Reply by Danny Andrés Osorio Gaviria on May 5, 2012 at 6:51pm

Hi Adin!!!... how are you???...

I'm trying to do the same thing... but I have the same problem...

Can you solve the problem????... how???...