|Curved Triangle Using 30-gon Circle Arcs|
|Panels|| 12 × |
|Author||PolyClare 16:13, 9 January 2008 (UTC)|
This is a simplified form of the Curved Triangle that appears on page 92 of Stewart's book (Example 4, 2nd edition only) [I finally got a copy!]. The form presented here differs from Stewart's in that it simply uses prisms and doesn't fret that many faces are coplanar.
This Curved Triangle is composed from 3-pentagonal/2-triangular prism arcs from the 30-gon Circle of Prisms (also from Stewart's book). I used Geomag Pastelles for this construction.
1. Peter Jepson on flickr pays homage: "Three leaf something"
2. Also in a flickr post from Geomag Model Team, on a page with this pretty Table Decoration, there was a link to the Tyler Java Applet. This applet allows the easy creation of planar (or hyperbolic) patterns using polyhedra. In the gallery of already-created patterns on that website, there were several patterns that expand on the Curved Triangle shape:
- tiles132 by Andrew Weimholt
- tiles085 by Andrew Weimholt
- tiles070 by Andrew Weimholt
- tiles060 by Andrew Weimholt
- lemontwist by Melinda Green
- 35pack by Melinda Green
Other views Edit
After I made the Curved Triangle, I remembered another page from Stewart's book (which was not nearby) that had a lovely design using multiple Curved Triangles [page 84 of the 2nd edition]. Not having the time or energy to make such a large Geomag design, I decided to whip up a model in my new Great Stella program [I finally got a copy!].
Turns out I misremembered Stewart's pattern. I made a big triangle of littler curved triangles, and Stewart made a flower shape (I inputted his later). I exported images of both, which are shown below. I like 'em both!