map hexgrid on a dodecahedron

hi guys,



I found a dodecahedron-definition on the internet, and now I have tried to map a hexgrid on it, but it look quite strange :-/

if I use my "map-definition" on a sphere, it works. I think the problems is, that the dodecahedron is not one surface, it contains more than one surface. 

 

 

 

how can I handle this?

thanks

.mh

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  • up

    Marios Tsiliakos

    Hi Michael,

    take a look at this post.. it uses geodesic instead of hexgrid... if you have a "normal" distribution of points you can get an "almost" hexagonal tiling, which is not concentrated on specific points. just replace that part of the code in my def...

    M.

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    • up

      Marios Tsiliakos

      Hi,

      Sorry but I have been busy at work. I used kangaroo and circle packing to get a more normal distribution of the cells. The cells have 6 vertices but they are not normal hexagons... I believe the answer lies somewhere there. you have to run a few tests..

       

      Regards M.

      • up

        Jon Mirtschin

         

        It's a nice idea and expression.  Here's my quick attempt at it with StructDrawRhino (probably a good idea to update to latest, as I fixed a tolerance issue with the polyhedra, http://www.geometrygym.com/downloads)

         

         

        File attached.

         

        Cheers,

         

        Jon

         

         

        1