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Feminism is fashionable. That's the statement we are never supposed to utter, within earshot of either feminists or fashion editors.<br><br>
{| class="wikitable" align="right" style="margin-left:10px" width="250"
!bgcolor=#e7dcc3 colspan=2|Omnitruncated 8-simplex honeycomb
|-
|bgcolor=#ffffff align=center colspan=2|(No image)
|-
|bgcolor=#e7dcc3|Type||[[Uniform_9-polytope#Regular_and_uniform_honeycombs|Uniform honeycomb]]
|-
|bgcolor=#e7dcc3|Family||[[Omnitruncated simplectic honeycomb]]
|-
|bgcolor=#e7dcc3|[[Schläfli symbol]]||{3<sup>[9]</sup>}
|-
|bgcolor=#e7dcc3|[[Coxeter–Dynkin diagram]]s||{{CDD|node_1|split1|nodes_11|3ab|nodes_11|3ab|nodes_11|3ab|branch_11}}
|-
|bgcolor=#e7dcc3|7-face types||[[Omnitruncated 7-simplex|t<sub>01234567</sub>{3,3,3,3,3,3,3}]]
|-
|bgcolor=#e7dcc3|Vertex figure||[[File:Omnitruncated 8-simplex honeycomb verf.png|100px]]<BR>Irr. [[8-simplex]]
|-
|bgcolor=#e7dcc3|[[Coxeter notation|Symmetry]]||<math>{\tilde{A}}_9</math>×18, [9[3<sup>[9]</sup>]]
|-
|bgcolor=#e7dcc3|Properties||[[vertex-transitive]]
|}
In [[Eight-dimensional space|eight-dimensional]] [[Euclidean geometry]], the '''omnitruncated 8-simplex honeycomb''' is a space-filling [[tessellation]] (or [[honeycomb (geometry)|honeycomb]]). It is composed entirely of [[omnitruncated 8-simplex]] facets.


That's because feminists understandably rail against the co-opting of their cause as a "trend", while editors, the press and some fashion designers rankle at the implication that their brave stance for womankind is viewed on a par with the ensemble cast of Sex and the City 2 performing Helen Reddy's empowering 1971 anthem "I Am Woman".<br><br>But feminism is fashionable, insomuch as it is being name-checked by the fashion industry with a striking frequency. Miuccia Prada's spring/summer 2014 collection was based on "the multiplicity of guises that women assume in the course of a day, a lifetime", a notion interpreted by many as fundamentally feminist.<br>For once, however, this feeling didn't start with Miuccia Prada: over the past few years, any female fashion designer or editor seems to be asked their views on the topic. Collections by every designer from Donatella Versace, to Phoebe Philo at C�line, to the London duo Meadham Kirchhoff, have been interpreted as feminist - whether the designers intended it or not.<br><br>Last November, British Elle began a campaign to "rebrand" feminism, inviting feminist publications Vagenda and Feminist Times to work with advertising agencies to rework the terminology.<br>Prada spring/summer 2014 fashion show <br>"What we did was ask, 'Does the word need rebranding?' The only thing that seemed an issue was the word," says Lorraine Candy, Elle's editor-in-chief. "We just asked a question." The response to Elle's question was staggering: a reach of 135 million on Twitter for the campaign, which Candy emphasises "is the biggest thing we've had engagement in, on Twitter, it's extraordinary� I was slightly taken aback by the force of opinion, the need from young women to talk about it� It struck me that this is a debate that everyone is having at the moment," Candy state<br><br>
The facets of all [[omnitruncated simplectic honeycomb]]s are called [[permutahedron|permutahedra]] and can be positioned in ''n+1'' space with integral coordinates, permutations of the whole numbers (0,1,..,n).
"If you look at women's magazines in the last year, you'll see the word being used more than I think it ever has been<br>
In itself, this was the motivation for Elle to tackle the terminology head-on. "I feel it excludes younger women," says Candy. "Younger women felt they wouldn't know enough to be a feminist, if you haven't read Germaine Greer or Marilyn French� I think there is still a lot of confusion around it, and I think the word remains quite contentiou<br><br>


Elle sought to unpick the meaning behind the word, rather than just splashing it across its front-page. However, the issue with feminism in fashion for some is exactly that: the use of the term for simple, superficial sloganeering. "It absolutely has become a buzzword," says Reni Eddo-Lodge, a journalist and contributing editor to the website Feminist Times, "and a lot of the time there is a lot of confusion about what it means. There isn't a huge, joined-up movement like there was 30 or 40 years ago. There's no agreement." For Eddo-Lodge, this is an enormous iss<br><br>
== A{{sup sub|*|8}} lattice ==


"The word is meaningless if there are no politics to back it up� Ultimately feminism is a political moveme<br>."
The A{{sup sub|*|8}} lattice (also called A{{sup sub|9|8}}) is the union of nine A<sub>8</sub> lattices, and has the [[vertex arrangement]] of the dual honeycomb to the [[omnitruncated 8-simplex honeycomb]], and therefore the [[Voronoi cell]] of this lattice is an [[omnitruncated 8-simplex]]
Politics are often rinsed from fashionable feminism. It's understandable: fashion is primarily visual, so aesthetic elements do the talking, unless you're literally sloganeering, in the manner of Katharine Hamnett in the 1980s. "This collection really became about female power," said the jewellery designer Eddie Borgo of his spring 2014 collection. "It gives [women] strength." The collection could easily have been interpreted as punk, with its zip-teeth and razor-sharp ed<br><br>
:
{{CDD|node_1|split1|nodes|3ab|nodes|3ab|nodes|3ab|branch}} +
{{CDD|node|split1|nodes_10lr|3ab|nodes|3ab|nodes|3ab|branch}} +
{{CDD|node|split1|nodes_01lr|3ab|nodes|3ab|nodes|3ab|branch}} +
{{CDD|node|split1|nodes|3ab|nodes_10lr|3ab|nodes|3ab|branch}} +
{{CDD|node|split1|nodes|3ab|nodes_01lr|3ab|nodes|3ab|branch}} +
{{CDD|node|split1|nodes|3ab|nodes|3ab|nodes_10lr|3ab|branch}} +
{{CDD|node|split1|nodes|3ab|nodes|3ab|nodes_01lr|3ab|branch}} +
{{CDD|node|split1|nodes|3ab|nodes|3ab|nodes|3ab|branch_10l}} +
{{CDD|node|split1|nodes|3ab|nodes|3ab|nodes|3ab|branch_01l}} = dual of {{CDD|node_1|split1|nodes_11|3ab|nodes_11|3ab|nodes_11|3ab|branch_11}}.


But punk is very 2013. Generally, designers scrabble after the same grab-bag of "feminist" signifiers: clich�s of the "tough woman" or "power dressing," big shoulders, high heels, zips and studs. "Some people consider feminism to be climbing into the boardroom, becoming Sheryl Sandberg," says Eddo-Lo<br>e.
== Related polytopes and honeycombs ==
"Feminism for me is about liberation from structural power." That's much more difficult to evoke in a skirt-s<br>t.
{{8-simplex honeycomb family}}
Other designers' work can be more unexpectedly interpreted as feminist: the fact that JW Anderson cross-pollinates the wardrobes of men and women, for instance, to the extent that he cut his winter 2013 menswear trousers without a phallocentric masculine bu<br><br>


He may not approach fashion with a strictly feminist intent, but it is easy to interpret Anderson's clothes as such. The same is true of Phoebe Philo, arguably the spark that ignited the feminism and fashion debate. She left her previous role at Chlo� to focus on her personal life, and moved the C�line studio to London when she took over the house's reins in <br><br>.
==See also==
Regular and uniform honeycombs in 8-space:
*[[8-cubic honeycomb]]
*[[8-demicubic honeycomb]]
*[[8-simplex honeycomb]]
*[[Truncated 8-simplex honeycomb]]
*[[5_21 honeycomb|5<sub>21</sub> honeycomb]]
*[[2_51 honeycomb|2<sub>51</sub> honeycomb]]
*[[1_52 honeycomb|1<sub>52</sub> honeycomb]]


[http://www.pcs-systems.co.uk/Images/celinebag.aspx Celine Bag Sale]'s designer, Pheobe <br>ilo
==Notes==
"One of the things we share is the reality that the clothes we design are actually worn," says fellow designer Stella McCartney about Philo's output. That reality of dressing working women with a sense of the practical, as well as the fashionable, is often seen as femi<br><br>.
{{reflist}}


"The flat shoe has been a big trend," adds Candy. "Those cripplingly high shoes aren't coming through anymore. Maybe it's a subconscious thing - of just being nicer to women!" What could be more feminist than <br>at?
== References ==
My own issues with feminism and fashion are simple: fashion is an industry, and feminism, as Eddo-Lodge succinctly puts it, is a political movement with distinct aims for equality between the sexes. The trouble with tying such noble aims to fashion is that it can look like you're trying to tug on heartstrings to hawk somet<br><br>.
* [[Norman Johnson (mathematician)|Norman Johnson]] ''Uniform Polytopes'', Manuscript (1991)
* '''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 22) H.S.M. Coxeter, ''Regular and Semi Regular Polytopes I'', [Math. Zeit. 46 (1940) 380-407, MR 2,10] (1.9 Uniform space-fillings)
** (Paper 24) H.S.M. Coxeter, ''Regular and Semi-Regular Polytopes III'', [Math. Zeit. 200 (1988) 3-45]
{{Honeycombs}}


"As a fashion magazine, a lot of criticism around us was 'How dare you engage with this?' - given that a lot of what we do is about make-up, and nail polish and handbags," says Candy of Elle's rebranding campaign. "How could we say that when we place so much emphasis on how women look? But how women look is incredibly important to their day-to-day li<br>s."
[[Category:Honeycombs (geometry)]]
Activists of the feminist movement FEMEN protest on the catwalk as models present creations for Nina Ricci during the 2014 Spring/Summer ready-to-wear collection fashion <br><br>
[[Category:9-polytopes]]
 
Some argue that simply raising the profile of the word, and stimulating discussion of feminism in popular culture, is valuable enough. Eddo-Lodge has other feelings. "Wishy-washy awareness-raising is good, but it almost adds to the confusion. What does it mean? What are the politics behind it?" But for Candy, engagement with the "Rebranding Feminism" campaign has fundamentally altered the way she w<br>ks.
"Are we patronising women? Are we doing things that are accidentally sexist? Are we writing in the right language?" These are questions she throws out to herself, rather than at the world at l<br><br>.
 
There is even an argument that the mere act of embracing the fashion industry is [http://www.Dailymail.co.uk/home/search.html?sel=site&searchPhrase=intrinsically+feminist intrinsically feminist]. "Feminine things like fashion and beauty are often considered less worthy pursuits," reasons Eddo-Lodge. "Some feminists talk about 'fem phobia', of heaping disgust on things that are seen as traditionally feminine, so in a way I think embracing fashion can be hugely liberating for women and men." That's a resolutely modern idea of feminism: "I was a feminist in the sixties," stated Miuccia Prada in <br><br>.
 
"Can you imagine? The worst thing I could have done was to be in fashion." Not any more.

Revision as of 00:34, 1 February 2014

Omnitruncated 8-simplex honeycomb
(No image)
Type Uniform honeycomb
Family Omnitruncated simplectic honeycomb
Schläfli symbol {3[9]}
Coxeter–Dynkin diagrams Template:CDD
7-face types t01234567{3,3,3,3,3,3,3}
Vertex figure
Irr. 8-simplex
Symmetry A~9×18, [9[3[9]]]
Properties vertex-transitive

In eight-dimensional Euclidean geometry, the omnitruncated 8-simplex honeycomb is a space-filling tessellation (or honeycomb). It is composed entirely of omnitruncated 8-simplex facets.

The facets of all omnitruncated simplectic honeycombs are called permutahedra and can be positioned in n+1 space with integral coordinates, permutations of the whole numbers (0,1,..,n).

ATemplate:Sup sub lattice

The ATemplate:Sup sub lattice (also called ATemplate:Sup sub) is the union of nine A8 lattices, and has the vertex arrangement of the dual honeycomb to the omnitruncated 8-simplex honeycomb, and therefore the Voronoi cell of this lattice is an omnitruncated 8-simplex

Template:CDD + Template:CDD + Template:CDD + Template:CDD + Template:CDD + Template:CDD + Template:CDD + Template:CDD + Template:CDD = dual of Template:CDD.

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See also

Regular and uniform honeycombs in 8-space:

Notes

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References

  • Norman Johnson Uniform Polytopes, Manuscript (1991)
  • 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 [1]
    • (Paper 22) H.S.M. Coxeter, Regular and Semi Regular Polytopes I, [Math. Zeit. 46 (1940) 380-407, MR 2,10] (1.9 Uniform space-fillings)
    • (Paper 24) H.S.M. Coxeter, Regular and Semi-Regular Polytopes III, [Math. Zeit. 200 (1988) 3-45]

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