Talk:Archimedean solid

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"semi-regular" should be defined; right now it is not clear what the difference between Johnson and Archimedian solids is. Furthermore, I take it that the platonic solids also count as Archimedian? --Axelboldt

I don't think so. semi-regular, i think has to do with the fact that multiple kinds polygons can meet at a vertex And platonic solids are definitely not Archimedean. (since there are five platonic solids, and thirteen archimedean ones....)

I think not being face-uniform just means there are more than one kind of regular polygon used. And I guess that being vertex-uniform means that there is a rotation that can move any one chosen vertex to the place of any other chosen vertex, while also mapping all other verticies to the place of either itself or another vertex. I hope so, because if I guessed wrongly, then my pictures and coordinates probably aren't of Archimedean solids. Ксйп Cyp 20:24, 31 Jul 2003 (UTC)
Hey, that was a reply in less than 2 years... How's that for wiki-fast replies? Ксйп Cyp 23:16, 31 Jul 2003 (UTC)
Suppose to the above comment on rotation, mirroring also counts, since otherwise I can't see how a truncated cuboctahedron or truncated icosidodecahedron would count. Ксйп Cyp 10:13, 1 Aug 2003 (UTC)


The last sentence uses the term "regular vertex" without defining it. AxelBoldt 09:50, 2 Oct 2003 (UTC)


I worked a bit on the definition of Archimedean solids, but it's still not satisfactory. Right now, it's not clear why the Elongated Square Gyrobicupola is excluded. AxelBoldt 10:13, 2 Oct 2003 (UTC)

Found http://www.math.washington.edu/~king/coursedir/m444a03/as/polyhedra-links.html

Contains a lot of sections, seems to be in the format of mentioning an Archimedean solid site, someone reviewing it, and selecting their favourite solid. There's at least 2 about this page. I hope copying the comments about this site to here would be considered fair use or something... Κσυπ Cyp   19:15, 18 Jan 2004 (UTC)

Jennifer Brosten reviews http://en2.wikipedia.org/wiki/Archimedean_solid

This website was nice because it has the general idea of the Archimedean solids in a rather concise manor though it also offers more in depth information on polyhedras and all of the different Archimedean Polyhedra. The table showing the different Archimedean Polyhedra was well done, because it illustrated the figures while also giving useful information about the vertices, faces and how they meet. The illustrations make it so that you can see the 3D aspect, whereas many sites only show the front without being able to see what is happening at the back of the object as well. The web site does not stop at giving the general information of the different solids. If you click on the names of the solids, you are taken to a new web page which is devoted strictly to that solid.


My favorite Archimedean polyhedra would have to be the Icosidodecahedron. What made me pick this shape was first it's name, because it's kinda fun to try to say. The Icosidodecahedron is made up of 20 triangular faces and 12 pentagon faces. There are a total of 60 edges and 30 vertices. At each vertex, there are 2 triangles and 2 pentagons meeting. They go triangle-pentagon-triangle-pentagon.

Mary Moser reviews http://www.ezresult.com/article/Archimedean_solid (Note: That is a not so good mirror of Wikipedia, without working pictures... Ironically, the only complaint about the article is that the pictures don't work.)

I was able to find the above website and saw that it had all the basic information presented clearly as well as some interesting history. I really appreciated that throughout the sight vocab words are linked to further definitions and explenations. There is a lot of potential in this sight unfortunately it seems the pages that are supposed to provide images of the polyhedra are not working, (at least I was unable to view them). Also I would like to see descriptions relating them to the platonic solids (essentially how we get the Archimedean polyhedron by truncating the platonic polyhedron).

I think a good example of the pictures and information my initial sight is missing can be found at http://www.ul.ie/~cahird/polyhedronmode/favorite.htm. I especially liked the animation showing the truncations for some of the polyhedra.

While each of the polyhedra we are discussing is really interesting and fun to explore, the assignment is to choose one favorite so I choose truncated cuboctahedron. It has 26 faces (12 squares, 8 hexagons and 6 octagons), 72 edges, and 48 vertices.

[edit] Educational toy

Jovo [[1]] is a toy that is ideal for constructing Archimedean solids. Can such a link be in the Wikipedia, or is it too commercial? --80.162.63.207 17:01, 5 Feb 2005 (UTC)

[edit] Inscribed Archimedean polyhedra

NOTE: This text for a new and uncompleted section was removed from article!

Edit here as you like and move back when it's done!
Tom Ruen 21:43, 14 January 2006 (UTC)

When the Archimedean polyhedra are inscribed in a sphere, they occupy the following percentages of that sphere's volume:

  • truncated tetrahedron XX%
  • cuboctahedron XX%
  • truncated cube XX%
  • truncated octahedron XX%
  • rhombicuboctahedron XX%
  • truncated cuboctahedron XX%
  • snub cube XX%
  • icosidodecahedron XX%
  • truncated dodecahedron XX%
  • truncated icosahedron XX%
  • rhombicosidodecahedron XX%
  • truncated icosidodecahedron XX%
  • snub dodecahderon XX%
I hope someone who has the percentages will add them here. I was attempting to make the Archimedean article include some of the same things that are in the Platonic article. Unfortunately, removing the list to the discussion page instead of leaving it on the article page means that it will probably languish here, and not get finished, but we'll see. Jimaginator 13:06, 19 January 2006 (UTC)
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