Dean, sounds like you might appreciate: 
http://www.scienceu.com/geometry/facts/solids/coords/

Well, ah, let's just say it doesn't work the way you probably think it 
does. The polyhedra code is a very complex algorithm that looks at 
possible faces (combinations of three atoms around a central atom) and 
determines which are "faces" and which are not. We have:

#atoms comb of 3 at a time
4 4!/(3!)(1!) = 4
6 6!/3!3! = 20
8 8!/3!5! = 56
9 9!/3!6! = 84
12 12!/3!9! = 220
20 20!/3!17! = 1140
...
n n(n-1)(n-2)/6

so if you do nothing special, then you will possibly run into the 
problem with any number more than 9. HOWEVER, the algorithm has a 
parameter, distanceFactor, that is adjustable, and if you set it 
smaller, it will work. For example (That second line should not wrap), try:

13
#jmolscript: connect (*) (*) delete;connect (_Fe) (_C);select 
*;wireframe off;spacefill off;select (_Fe); polyhedra bonds 
distanceFactor 0.5
Fe 0 0 0
C -0.692 0.000 0.427
C 0.000 0.427 -0.692
C 0.000 0.427 0.692
C 0.692 0.000 -0.427
C -0.427 -0.692 0.000
C -0.427 0.692 0.000
C 0.000 -0.427 0.692
C 0.427 0.692 0.000
C 0.000 -0.427 -0.692
C 0.692 0.000 0.427
C 0.427 -0.692 0.000
C -0.692 0.000 -0.427

As for dodecahedra, that's just too large. I've upped the maximum number 
of faces to 147, and that takes care of it, but there are a few stray 
lines, since we are painting more triangles than actually needed. Just 
the way it goes, I guess....



Bob








Dean Johnston wrote:

> Has anybody tried to create polyhedra with 12 or 20 vertices? The 
> documentation seems to indicate that I should be able to go up to 20.
>
> I’m creating representations of shapes (Platonic solids, actually — 
> maybe Jmol isn’t just for molecules anymore... :-). I would like to 
> display an icosahedron and dodecahedron. I’ve created structures with 
> a central atom surrounded by 12 or 20 atoms, but when I try and create 
> the polyhedron, I get the following error message:
>
> Polyhedron error: maximum face(87) -- reduce RADIUS
>
> I have a feeling it’s creating more polyhedra faces than I want it to 
> (I only want 20), but I’m not entirely familiar with how it works. 
> I’ve gotten it to work just fine for tetrahedra and octahedra. Any 
> insights, corrections, etc. are greatly appreciated.
>
> My testing page is at: 
> http://www.otterbein.edu/home/fac/dnhjhns/jmoltest/poly.html
>
> Dean
>
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-- 
Robert M. Hanson
Professor of Chemistry
St. Olaf College
Northfield, MN
http://www.stolaf.edu/people/hansonr


If nature does not answer first what we want,
it is better to take what answer we get. 

-- Josiah Willard Gibbs, Lecture XXX, Monday, February 5, 1900



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