Curved Triangle Using 30-gon Circle Arcs
Curved Triangle 1
Panels 12 × Geomag triangle panel icon
24 × Geomag square panel icon
12 × Geomag pentagon panel icon
Rods 96 × Geomag rod icon
Spheres 48 × Geomag ball icon
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.

xrefs Edit

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:

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!

Related links Edit

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