Geodesic/polyhedral origami

[TaffGoch]

Dan,

I hope you have some spare time....

Examples of Jeannine Mosely's work:

http://www.flickr.com/photos/artsandartists/7807605778/

http://www.flickr.com/photos/oschene/136404960/

http://www.google.com/patents?id=U6EEAAAAEBAJ&printsec=abstract&zoom=4#v=onepage&q&f=false

http://www.flickr.com/photos/bkwebb/5889430191/

https://www.google.com/search?tbm=isch&q=Origami+"jeannine+mosely"

[homespun]

Taff,

  Taff,

      I really like the one base on the Buckyball - a nice curved fold project - interesting color pattern which I think I could figure out from the picture - perhaps similar in some ways to that firts Magnus Wenninger one I copied with your help.

      Please make me a pattern I could print out and build it with; I will use flaps and glue.

______________________________________________________________________________________________________

      Still hoping you can come up with a pattern for that Bowooss Bionic Optimized Wooden Shell.

     I did get a message back on that from the professor in charge of the porject:

 

Hello, -- Thank you very much for your kind interest. As the pavillon is an outcome of a research program and the research is still going on, we are not able to send plans.  With best regards, --  Prof. Göran Pohl
http://www.pohlarchitekten.de/  http://www.pohlarchitekten.de/projects     gp...@htw-saarland.de

__________________________________________________________________________________________

                                             Dan

             

 

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[homespun]

Taff,

   Just looking at the circles I thought it was based on a truncated icosahedron, but seeing that it was named "Triacontahedral Orb", I can see that it is made of 30 rhombs....

               Dan 

To: Geodesic Help Group

Sent: Wednesday, April 03, 2013 8:05 PM

Subject: Geodesic/polyhedral origami

[Hector Alfredo Hernández Hdez.]

What do you think about use inverse cones?

2013/4/4 homespun <uncl...@homespun4homeschoolers.com>

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[Dick Fischbeck]

Explain please.

[homespun]

I think maybe he means that each circular dimpled section in the model is like a cone.

[Hector Alfredo Hernández Hdez.]

YES, BUT PIC of cones insted of inner, now will be out.. :)

2013/4/4 homespun <uncl...@homespun4homeschoolers.com>

[homespun]

     Since there are 5-piece circles surrounded by 3-piece circles, that is like pentagons surrounded by triangles, which would make an icosidodecahedron.  But the in the process you get a rhombic triacontahedron which is the dual of the icosidodecahedron.  That is like what Rona Gurkewitz discovered when using her "gyroscope" modular origami modules - that each of the Archimedeans creates its dual. 

     http://www.amazon.com/Multimodular-Origami-Polyhedra-Archimedeans-Buckyballs/dp/0486423174

              Dan  

----- Original Message -----

From: homespun

To: geodes...@googlegroups.com

Sent: Thursday, April 04, 2013 10:18 PM

Subject: Re: Geodesic/polyhedral origami

 

Taff,

[Hector Alfredo Hernández Hdez.]

Sorry by my bad english. peaks (i did wrote pics)

2013/4/4 homespun <uncl...@homespun4homeschoolers.com>

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[homespun]

See attached image.  Will this work?  I took a Googled image of a golden rhomb and put in thes arcs with a radius equal to half the side of the rhomb.

            Dan

----- Original Message -----

From: homespun

To: geodes...@googlegroups.com

Sent: Thursday, April 04, 2013 10:35 PM

Subject: Re: Geodesic/polyhedral origami

[homespun]

     Well, here it is.  It came together OK, but the circles in Jeannine’s model appear to be the same size, whereas my 3-circle is much larger than my 5 circle.  So her rhombs are shorter and fatter than mine and the land bridge between the arcs is wider.  I’m guessing that perhaps the diagonals might be in the ratio of the sqrt 2 to 1.  Anybody know?

     Following the colors according to her model was easy enough on the visible side, but it was interesting figuring them out on the “dark side of the moon”.  I reasoned that since there were 6 colors, and the combination of 6 things taken 3 at a time is 20, that each combination was used only once, and that each 3-circle’s colors combination would be unique; however, that didn’t help so much.  For the 5-circles, the combination of 6 things taken 5 at a time is 6, so each of those would be used twice.  I wondered if the same combinations would appear at the antipodes, which turned out to be true.  The colors were even in the same order at opposite poles, but rotated a little bit.

     And it’s not an icosidodecahedron afterall, so I’m back to thinking it’s more like a soccerball.

--

[homespun]

And here it is among friends at the Museum.....

[homespun]

Taff,

    Attached file tells the full story of my adventure with the Jeannine Mosley "Triacontahedral Orb".

    Thanks for putting me on the trail.

                 Dan

----- Original Message -----

From: homespun

To: geodes...@googlegroups.com

[TaffGoch]

Dan,

My rendition of Jeannine Mosley's Triacontahedron orb. Template also attached.

(I haven't yet compared your template to mine, side-by-side or superimposed.)

-Taff

[TaffGoch]

Dan,

The cones of my model are the same size, because I modeled the circles first, aligning their centers with the vertices of the triacontahedron. The template was subsequently derived from the 3D model.

Template comparison:

[homespun]

Taff,-- Thanks for sending those images.  My template was just a Google image i downloaded and may not have been accruately proportioned to be a true "Golden Rhomb", but it worked well enough for my paper model. 

         I am excited that Jeannine Mosley may be coming to San Antonio sometime in the coming months and said she would like to visit my Museum.  I'll get a picture of her holding my version of her model.

                                           Dan

 

P.S. I am working on a new slow-as-you-go OCTA-TETRA model.  When I get enough of it done to see where it's going, I'll send you a picture and ask you to make an extrapolation to the completed model.

P.S.  Any chance of your making templates for that wooden shell in Germany? --  I would so love to make a model of that.   

                        

----- Original Message -----

From: TaffGoch

To: Geodesic Help Group

Sent: Tuesday, April 09, 2013 6:16 PM

Subject: Re: Geodesic/polyhedral origami