Talk:Rectification (geometry)

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search
WikiProject Mathematics (Rated Stub-class, Low-priority)
WikiProject Mathematics
This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of Mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.
Mathematics rating:
Stub Class
Low Priority
 Field:  Geometry
WikiProject Uniform Polytopes  
WikiProject icon This article is within the scope of WikiProject Uniform Polytopes, a collaborative effort to improve the coverage of uniform polytopes on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.
 ???  This article has not yet received a rating on the quality scale.
 


In 3 dimensions

The top row of the rectification/dual chart is not ideal, as the rectified and dual polyhedra do not correspond exactly to the original (you need to perform some sort of rotation in your head). The other rows are much clearer in this regard. Dshin 16:51, 22 March 2006 (UTC)

I agree, ideally the images would be consistently aligned.
There's some free software that can generate images. I've used it elsewhere, but not here yet. [1]
Same issue on table at Uniform_polyhedron#Listed_by_symmetry_groups_and_vertex_arrangements
It's on my list, but not sure when I can make some better images. I'd KEEP existing nice images, and make a different set for these truncation sets for comparison.
I'm happy if you or anyone else would like to try.
Tom Ruen 09:57, 23 March 2006 (UTC)

Regarding the recent edit about a "tetratetrahedron": it seems to imply that the prefix "tetra-" is equivalent to some sort of geometric operation (?) - it would help to state this equivalence explicitly. Otherwise, I am a bit confused about where that name comes from. Dshin 20:37, 22 March 2006 (UTC)

Improved a bit? Tom Ruen 09:57, 23 March 2006 (UTC)
Yes, thank you, the names make a lot more sense to me now. I understand your statement that "polyhedron A has the faces of polyhedra B and C" to mean that A can be expressed as the intersection of appropriately scaled versions of B and C. The latter statement seemed to be a bit more precise. I modified the section to what was, in my opinion, a slightly more concise explanation of the naming schema; feel free to change it back if you wish.
I think what would really top it off is if we could modify the images so that the original polyhedra were red, the dual polyhedra were yellow, and the rectified polyhedra were red and yellow, to show which faces come from which polyhedron. Dshin 17:04, 23 March 2006 (UTC)

In 4 dimensions

The pictures here seem pretty useless, without some sort of explanation of how the 2-D representations were generated. Furthermore, the representations are of different types - the hypercube representation should parallel the others. I propose to just remove the pictures all together. Dshin 20:28, 22 March 2006 (UTC)

Agreed, images not that useful now. Tom Ruen 09:57, 23 March 2006 (UTC)
Not agreed, images help understand. Maksim-e 20:41, 29 August 2007 (UTC)
Thanks for the correction on rectified 5-cells - and yes - better pictures have been added since March 2006! Tom Ruen 00:01, 30 August 2007 (UTC)
Retrieved from "https://en.wikipedia.org/w/index.php?title=Talk:Rectification_(geometry)&oldid=631619135"
This content was retrieved from Wikipedia : http://en.wikipedia.org/wiki/Talk:Rectification_(geometry)
This page is based on the copyrighted Wikipedia article "Talk:Rectification (geometry)"; it is used under the Creative Commons Attribution-ShareAlike 3.0 Unported License (CC-BY-SA). You may redistribute it, verbatim or modified, providing that you comply with the terms of the CC-BY-SA