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Topic: Golden polyhedron
Replies: 11   Last Post: May 29, 2006 10:46 AM

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Dan in NY

Posts: 38
Registered: 12/13/04
Golden polyhedron
Posted: May 23, 2006 8:45 AM
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Greetings,

On the NY Times web site, there is a story and picture about a hollow
molecule composed of 16 atoms of gold. It looks like the figure is an
irregular polyhedron where some vertices have six triangles meeting and
others have four. The article is "16 Golden Atoms in Search of a Catchy
Name" By KENNETH CHANG; Published: May 23, 2006; at URL
http://www.nytimes.com/2006/05/23/science/23find.html.

A related web site is named, called "Evidence of Hollow Golden Cages", URL
http://www.nytimes.com/2006/05/23/science/23find.html, Published online
before print May 19, 2006. It calls the molecules '("bucky gold")', a name
that I suggest could catch on. However, the name of NY Times article
suggests that "someone" is still looking for a catchy name.

I am thinking of the geometric aspects of the molecule. It has 16 gold
atoms: 16 vertices. Since I have trouble visualizing a 3-D figure from a
2-D drawing, I have questions: How many faces does it have? Are they all
equilateral triangles? How many meet at each vertex? (If four and six, how
many vertices have four and how many have six triangles?) I presume that
Euler's Formula: V + F = 2 + E applies. Does it? How many edges does it
have? Are there other similar questions to be asked?
--
Dan in NY
(for email change t with g in
dKlinkenbert at hvc dot rr dot com)



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