Hexagonal patterns

Hi all,

I'm new here, so I have a question, is there anyway to make hexagonal pattern on surface with the exact same dimension for one hexagon, lets say I want the edges to have the same dimension in all the surface, I tried lunch box and different methods, but i get hexagons which get smaller or thinner relating to curvature,

I want something like this,

Thanks guys!

Attachments:

Capture.PNG, 1.4 MB

Replies to This Discussion

Permalink Reply by martyn hogg on January 11, 2014 at 4:10pm

I think this has come up before on this forum but I'm not sure there's an easy solution. Even in the photo you posted, the hexagons don't all look the same and some of those hexagons are definitely pentagons!

I've spent quite a lot of time experimenting with geodesic domes and they are not made up of equally sized triangles, even though they can look the same, there are slight differences.

Wikipedia Geodesic

They all start with an icosohedron which is a 20 face shape, each face being an equilateral triangle. To smooth the dome shape and get it closer to a sphere, the triangular faces are split into more triangles and the points on these triangles are projected out onto the sphere. Projecting the points out changes the lengths of the sides of the triangles slightly so they are no longer equilateral but you start to see hexagons and pentagons appear (White lines) ...

I think if you deviate from the curvature of a sphere then you can't fit identical hexagons and pentagons to the surface anymore but MAYBE there is a way of approximating the surface as close as possible by only using hexagons? Or, to allow some deviation from hexagons and pentagons but minimising this?

As I said, I'm sure there have been some posts about this on here in the past, but I can't remember if anyone has had success!

Permalink Reply by Mateusz Zwierzycki on January 11, 2014 at 4:30pm

There is no way to approximate sphere using only hexagons, you always have to use some pentagons. I think that's not a problem for Sahar Mi as in the picture "Capture.PNG" you can see some pentagons.

If you want to get hexagons out of this geodesic dome use weaverbird's mesh dual.

Permalink Reply by Sahar Mi on January 12, 2014 at 1:15am

Hi Mateuzz, do you mean the weaverbird dual graph?

Permalink Reply by martyn hogg on January 11, 2014 at 4:34pm

Similar thread here...

http://www.grasshopper3d.com/forum/topics/p-hex-mesh-starting-from-...

Permalink Reply by Sahar Mi on January 12, 2014 at 1:19am

Hi Martyn, well having a couple of pentagons is fine, thanks I am looking them up

Permalink Reply by JS on January 11, 2014 at 4:39pm

Is this good enough?

Permalink Reply by Sahar Mi on January 12, 2014 at 1:14am

Thanks for you response and the image,I guess you did projection, no actually since the ones close to the edge are more long, its not my answer.

Permalink Reply by Ild17 on January 11, 2014 at 6:09pm

Hey, maybe I can help you with this parameterization, I made this a while ago, is a disaster, I was a newbie so it have a lots of mistakes but you can use as reference.

Your you can download it here: http://bit.ly/1exQ99V

You have to open the file of Rhino first and then the file of grasshopper because that there are points of reference in the archive of Rhino.

Permalink Reply by Sahar Mi on January 12, 2014 at 1:24am

Hi Ildefonso ,thanks for you response, Is this your dropbox? cause I can not have access to that, will you please email it to me or maybe give me a link somewhere else?

my email is sahaar_mi@yahoo.com

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