Warp-field experiments: Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
en>BattyBot
m fixed CS1 errors: dates & General fixes using AWB (9832)
 
en>Andyhowlett
 
Line 1: Line 1:
{| class="wikitable" align="right" style="margin-left:10px" width="320"
21 05:14 Hi, What is the best free software to automatically backup wordpress database and files.<br>30 23:31 looky ser, opened Firefox, and there are only the default bookmarks.<br>Disparte テクニック国連 brano ciclopico tra グラナの Essi 其 disposti acquisire かまちユニコ proveniente fordi merci 左あたりいずれ�<br>
!bgcolor=#e7dcc3 colspan=2|quarter cubic honeycomb
9, Kayla Pribble, Dove Creek, 1<br>
|-
A software that is trustworthy and would not hack your password in wordpres<br><br>
|bgcolor=#ffffff align=center colspan=2|(No image)
When you loved this information in addition to you would like to be given details about [http://tinyurl.com/lmk4zx5 cheap beats by dre] i implore you to pay a visit to the web site.
|-
|bgcolor=#e7dcc3|Type||[[Uniform_polyteron#Regular_and_uniform_honeycombs|Uniform 4-honeycomb]]
|-
|bgcolor=#e7dcc3|Family||[[Quarter hypercubic honeycomb]]
|-
|bgcolor=#e7dcc3|[[Schläfli symbol]]||t<sub>1</sub>{4,3,3,4}<BR>t<sub>1</sub>{4,3<sup>1,1</sup>}<BR>t<sub>3</sub>{4,3<sup>1,1</sup>}<BR>q{4,3,3,4}
|-
|bgcolor=#e7dcc3|[[Coxeter-Dynkin diagram]]||
{{CDD|node|4|node_1|3|node|3|node|4|node}}<BR>
{{CDD|node|4|node_1|3|node|split1|nodes}}<BR>
{{CDD|nodes_11|split2|node|3|node|4|node}}<BR>
{{CDD|nodes_10ru|split2|node|split1|nodes_10lu}} = {{CDD|node_h1|4|node|3|node|3|node|4|node_h1}}
|-
|bgcolor=#e7dcc3|4-face type||[[16-cell|h{4,3<sup>2</sup>}]],[[File:Schlegel_wireframe_16-cell.png|40px]]<BR>[[Rectified tesseract|h<sub>3</sub>{4,3<sup>2</sup>}]], [[File:Schlegel_half-solid_rectified_8-cell.png|40px]]
|-
|bgcolor=#e7dcc3|Cell type||[[tetrahedron|{3,3}]], [[File:Tetrahedron.png|20px]]<BR>[[Cuboctahedron|t<sub>1</sub>{4,3}]], [[File:Cuboctahedron.png|20px]]
|-
|bgcolor=#e7dcc3|Face type||[[Triangle|{3}]]<BR>[[Square|{4}]]
|-
|bgcolor=#e7dcc3|[[Edge figure]]||[[File:Square pyramid.png|40px]]<BR>[[Square pyramid]]
|-
|bgcolor=#e7dcc3|[[Vertex figure]]||[[File:Rectified_tesseractic_honeycomb_verf.png|80px]]<BR>Elongated [[octahedral prism|{3,4}×{}]]
|-
|bgcolor=#e7dcc3|[[Coxeter group]]||<math>{\tilde{C}}_4</math> = [4,3,3,4]<BR><math>{\tilde{B}}_4</math> = [4,3<sup>1,1</sup>]<BR><math>{\tilde{D}}_4</math> = [3<sup>1,1,1,1</sup>]
|-
|bgcolor=#e7dcc3|Dual||
|-
|bgcolor=#e7dcc3|Properties||[[vertex-transitive]]
|}
In [[Four-dimensional space|four-dimensional]] [[Euclidean geometry]], the '''rectified tesseractic honeycomb''' is a uniform  space-filling [[tessellation]] (or [[honeycomb (geometry)|honeycomb]]) in Euclidean 4-space. It is constructed by a [[rectification (geometry)|rectification]] of a [[tesseractic honeycomb]] which creates new vertices on the middle of all the original edges, rectifying the cells into [[rectified tesseract]]s, and adding new [[16-cell]] facets at the original vertices. Its [[vertex figure]] is an [[octahedral prism]], {3,4}×{}.
 
It is also called a '''quarter tesseractic honeycomb''' since it has half the vertices of the [[4-demicubic honeycomb]], and a quarter of the vertices of a [[tesseractic honeycomb]].<ref>Coxeter, '''Regular and Semi-Regular Polytopes III''', (1988), p318</ref>
<!--==Coordinates==
 
Vertices can be placed at all [[integer]] coordinates (i,j,k,l), such that (i+j+k+l) [[modulo]] 4=0.-->
 
== Related honeycombs==
{{C4_honeycombs}}
 
{{B4_honeycombs}}
 
{{D4_honeycombs}}
 
== See also ==
Regular and uniform honeycombs in 4-space:
*[[Tesseractic honeycomb]]
*[[Demitesseractic honeycomb]]
*[[24-cell honeycomb]]
*[[Truncated 24-cell honeycomb]]
*[[Snub 24-cell honeycomb]]
* [[5-cell honeycomb]]
* [[Truncated 5-cell honeycomb]]
* [[Omnitruncated 5-cell honeycomb]]
 
==Notes==
{{reflist}}
 
== References ==
* '''Kaleidoscopes: Selected Writings of H.S.M. Coxeter''', edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication, 1995, ISBN 978-0-471-01003-6 [http://www.wiley.com/WileyCDA/WileyTitle/productCd-0471010030.html]
** (Paper 24) H.S.M. Coxeter, ''Regular and Semi-Regular Polytopes III'', [Math. Zeit. 200 (1988) 3-45] See p318 [http://books.google.com/books?id=fUm5Mwfx8rAC&lpg=PA318&ots=dnT1LYgmij&dq=%22quarter%20cubic%20honeycomb%22%20q%7B4%2C3%2C4%7D&pg=PA318#v=onepage&q=%22quarter%20cubic%20honeycomb%22%20q%7B4,3,4%7D&f=false]
* [[George Olshevsky]], ''Uniform Panoploid Tetracombs'', Manuscript (2006) ''(Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs)''
* {{KlitzingPolytopes|flat.htm|4D|Euclidean tesselations#4D}} o4x3o3o4o, o3o3o *b3x4o, x3o3x *b3o4o, x3o3x *b3o *b3o - rittit - O87
* {{cite book |author=Conway JH, Sloane NJH |year=1998 |title=Sphere Packings, Lattices and Groups |edition=3rd |isbn=0-387-98585-9}}
{{Honeycombs}}
 
{{DEFAULTSORT:Demitesseractic Honeycomb}}
[[Category:Honeycombs (geometry)]]
[[Category:5-polytopes]]

Latest revision as of 03:23, 6 November 2014

21 05:14 Hi, What is the best free software to automatically backup wordpress database and files.
30 23:31 looky ser, opened Firefox, and there are only the default bookmarks.
Disparte テクニック国連 brano ciclopico tra グラナの Essi 其 disposti acquisire かまちユニコ proveniente fordi merci 左あたりいずれ�
9, Kayla Pribble, Dove Creek, 1
A software that is trustworthy and would not hack your password in wordpres

When you loved this information in addition to you would like to be given details about cheap beats by dre i implore you to pay a visit to the web site.