Talk:Boerdijk–Coxeter helix: Difference between revisions
← Created page with 'I know it's not much of a page yet, but i expect some help on it soon, and i promised i'd make a start for it. Any help is appreciated. - bart van oort - 2008-09...' |
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{{WikiProject Mathematics|importance=}} |
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== Start == |
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I know it's not much of a page yet, but i expect some help on it soon, and i promised i'd make a start for it. Any help is appreciated. |
I know it's not much of a page yet, but i expect some help on it soon, and i promised i'd make a start for it. Any help is appreciated. |
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- bart van oort - 2008-09-04 |
- bart van oort - 2008-09-04 |
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: I added some semi-random links, and added some of my own graphics. [[User:Tomruen|Tom Ruen]] ([[User talk:Tomruen|talk]]) 01:55, 1 February 2011 (UTC) |
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== strange insertions == |
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{{User|165.228.111.227}} has several times inserted weird sentences: |
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* "Tetrahedra are unilaterally cosined against the heraclitean plane" (30 Aug 2009) |
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* "London dispersion forces are colineally arranged in a boolean triagram to offset the isomeric aspect." (26 Aug 2010) |
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* "The Helices are counter isomeric to the interchange of electron flow." (17 Jan 2011) |
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* "The synergistic intertwining of the lateral helices are cosined against the perpendicular axial stack." (2 Feb 2011) |
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[[London dispersion force]] at least is a real concept, so I hesitated to assume that it's junk; but now that I've listed these all together I see that no two of these insertions have anything in common (except "cosined against"), so it's implausible that they have any serious intent. —[[User:Tamfang|Tamfang]] ([[User talk:Tamfang|talk]]) 19:34, 3 February 2011 (UTC) |
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: Thanks for catching the newest vandalism! Apparently someone is practicing fake [[technobabble]], maybe looking for a career in broadcasting? [[User:Tomruen|Tom Ruen]] ([[User talk:Tomruen|talk]]) 21:20, 3 February 2011 (UTC) |
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:: [[Reverse the polarity of the neutron flow]]! —[[User:Tamfang|Tamfang]] ([[User talk:Tamfang|talk]]) 06:18, 4 February 2011 (UTC) |
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== citations? == |
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Dear Wikipedia guys, |
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This page contains an interesting claim that appears on the 600-cell page as well, namely that the 600-cell decomposes into a union of 20 solid tori each with a triangulation that locally looks like this helix formed of tetrahedra in such a way that there is a simplicial map to the boundary complex of the icosahedron such that the each solid torus maps to a face and the fiber over each vertex is a Hopf circle. The usual procedure when publishing such a claim is to provide a citation to literature that gives a proof or at least a claim of a proof as in a research announcement. |
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Perhaps I'm not searching carefully enough, but I do not see such a proof in any of the cited literature on this page. The scholarly value of the article would be improved considerably if such a citation were present. [[Special:Contributions/123.116.217.128|123.116.217.128]] ([[User talk:123.116.217.128|talk]]) 14:56, 1 September 2015 (UTC) |
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== 30-tetrahedron rings are duals of [[Petrie polygon|Petrie polygons]] == |
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The 600-cell partitions into 20 rings of 30 tetrahedra (see article). I noticed that the duals of these rings are Petrie polygons of the 120-cell. Thus, the vertex set of the 120-cell partitions into 20 Petrie polygons. (I discovered this partition of the vertex set 20 years ago, but there is no publication.) [[User:Rolfdieter Frank|Rolfdieter Frank]] ([[User talk:Rolfdieter Frank|talk]]) 06:13, 23 September 2021 (UTC) |
Latest revision as of 16:10, 9 February 2024
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Start
[edit]I know it's not much of a page yet, but i expect some help on it soon, and i promised i'd make a start for it. Any help is appreciated.
- bart van oort - 2008-09-04
- I added some semi-random links, and added some of my own graphics. Tom Ruen (talk) 01:55, 1 February 2011 (UTC)
strange insertions
[edit]165.228.111.227 (talk · contribs) has several times inserted weird sentences:
- "Tetrahedra are unilaterally cosined against the heraclitean plane" (30 Aug 2009)
- "London dispersion forces are colineally arranged in a boolean triagram to offset the isomeric aspect." (26 Aug 2010)
- "The Helices are counter isomeric to the interchange of electron flow." (17 Jan 2011)
- "The synergistic intertwining of the lateral helices are cosined against the perpendicular axial stack." (2 Feb 2011)
London dispersion force at least is a real concept, so I hesitated to assume that it's junk; but now that I've listed these all together I see that no two of these insertions have anything in common (except "cosined against"), so it's implausible that they have any serious intent. —Tamfang (talk) 19:34, 3 February 2011 (UTC)
- Thanks for catching the newest vandalism! Apparently someone is practicing fake technobabble, maybe looking for a career in broadcasting? Tom Ruen (talk) 21:20, 3 February 2011 (UTC)
citations?
[edit]Dear Wikipedia guys,
This page contains an interesting claim that appears on the 600-cell page as well, namely that the 600-cell decomposes into a union of 20 solid tori each with a triangulation that locally looks like this helix formed of tetrahedra in such a way that there is a simplicial map to the boundary complex of the icosahedron such that the each solid torus maps to a face and the fiber over each vertex is a Hopf circle. The usual procedure when publishing such a claim is to provide a citation to literature that gives a proof or at least a claim of a proof as in a research announcement.
Perhaps I'm not searching carefully enough, but I do not see such a proof in any of the cited literature on this page. The scholarly value of the article would be improved considerably if such a citation were present. 123.116.217.128 (talk) 14:56, 1 September 2015 (UTC)
30-tetrahedron rings are duals of Petrie polygons
[edit]The 600-cell partitions into 20 rings of 30 tetrahedra (see article). I noticed that the duals of these rings are Petrie polygons of the 120-cell. Thus, the vertex set of the 120-cell partitions into 20 Petrie polygons. (I discovered this partition of the vertex set 20 years ago, but there is no publication.) Rolfdieter Frank (talk) 06:13, 23 September 2021 (UTC)