You can start with an 18-fold antiprism. You subdivide the faces and create a frustum (a "truncated pyramid" or a prism where one base face has a smaller diameter than the other one). You put this into the memory and you can deform it by nonuniform scale along the rotation axis. Repeating augmentati...

Roger, some time ago, I made lots of such structures: http://www.polyedergarten.de/polyhedrix/aug/w12_2.jpg see: http://www.polyedergarten.de/polyhedrix/e_augintro.htm In a similar way, you can produce pretty spirals: http://www.polyedergarten.de/polyhedrix/ico_octa/ico_octa_spiral_leo_2.jpg http://...

robertw wrote:Ulrich, do you do anything special to avoid tabs being visible through all those holes?

No, I only try to place them all towards the inside of the model, which is possible in most cases. If you look at the close-up, you can see the tabs.

Ulrich

I like models made of transparent material where I can see the inside and the outside at the same time. Perhaps you find some inspiration at the following websites: Henry Chasey made some partially transparent acrylic polyhedra: http://www.georgehart.com/chasey.html and MarcelTeun made one with tran...

marcelteun wrote:I considered squeezing layers together a long time ago, but I was a bit afraid that this would be too inaccurate

I use a small stapler to sqeeze the layers together. Since my paper is rather thin, I can squeze up to 5 layers. The time saving is about 3, using your scale from 0 to 5.

Ulrich

Have you tried software to convert from bitmap to vector? Yes, I tried it and the results are not good at all. But there's a trick I was told by Rob Pierce: You can print the net in the pdf-format and import that file in corel. This is much better, but not the way it could be because if the net is ...

why does yours have so many holes compared with the Stella one? This is Ulrich's style, to leave holes in the faces so that the inner parts can also be seen (the parts of faces normally hidden within the model). That's right. I believe Ulrich uses Stella's stellation features to create the nets for...

starbase1 wrote:Is this object available in Stella?

Yes, it's a uniform polyhedron. You just click on the two blue drawers and enter its Wenninger-No "W108" to choose it.

u.

Ulrich, your models are amazing! Do you just cut out patterns on the faces of the models, or what? Thanks. My models are piles of stellations from the core to the final shape. Into each one I cut holes to look through. I do this to show how the faces run through the final model. You can't see this ...

it took me more than half a year to calculate (using standard algebra) the shape of the individual pieces. After that I still didn't have any clue of how the polyhedron would look. Then it took me a few more months to build a model. Marcel, I had an absolutely similar experience with my model of fi...

I'm using white paper with a weight of 80g/m². This I cut with scissors or knives. I make single tabs which I glue with UHU. The kind of bottle which I prefer has a very fine beak to spread the glue directly on the tab. Sometimes I still use wooden toothpicks for this purpose. Since this UHU hardens...

Up to now, the greatest polyhedral challenge to me was W 108, the Great Truncated Icosidodecahedron. http://i254.photobucket.com/albums/hh82/Heinzzweidrei/w108_04.jpg This model has a diameter of about 40 cm. I never counted the number of facelets, but I know that I needed 153 sheets of paper for it...

You can do this easily by print via preview in the file menue, where you can chose which measures you want to be printed.



Ulrich

More easily, you can use faceting technique in this case: change the symmetry to 5fold pyramidal, then subdivide the faces by 3 and facet out the top pentagon, the lateral tetragons and the unchanged triangles, that's all.

Ulrich