Конфигурация Клейна

Конфигурация Клейна — конфигурация, связанная с поверхностью Куммера[англ.], состоящей из 60 точек и 60 плоскостей, в которой каждая точка лежит на 15 плоскостях, а каждая плоскость проходит через 15 точек. Конфигурация использует 15 пар прямых 12 . 13 . 14 . 15 . 16 . 23 . 24 . 25 . 26 . 34 . 35 . 36 . 45 . 46 . 56 и их обратные (с переставленными цифрами). Ниже показаны 60 точек, полученные из троек пересекающихся прямых, образующих нечётные перестановки. Шестьдесят плоскостей — это тройки прямых, лежащих в одной плоскости и образующих чётные перестановки, полученные перестановкой последних двух цифр в точках. Для любой точки или плоскости существует 15 членов в другом множестве, содержащем эти 3 прямые[1].

12-34-65 12-43-56 21-34-56 21-43-65 12-35-46 12-53-64
21-35-64 21-53-46 12-36-54 12-63-45 21-36-45 21-63-54
13-24-56 13-42-65 31-24-65 31-42-56 13-25-64 13-52-46
31-25-46 31-52-64 13-26-45 13-62-54 31-26-54 31-62-45
14-23-65 14-32-56 41-23-56 41-32-65 14-25-36 14-52-63
41-25-63 41-52-36 14-26-53 14-62-35 41-26-35 41-62-53
15-23-46 15-32-64 51-23-64 51-32-46 15-24-63 15-42-36
51-24-36 51-42-63 15-26-34 15-62-43 51-26-43 51-62-34
16-23-54 16-32-45 61-23-45 61-32-54 16-24-35 16-42-53
61-24-53 61-42-35 16-25-43 16-52-34 61-25-34 61-52-43

Изучена Феликсом Клейном в 1870 году[2].

Примечания

  1. ↑ Hudson, 1990.
  2. ↑ Klein, 1870.

Литература

  • Hudson R. W. H. T. §25. Klein's 6015 configuration // Kummer's quartic surface. — Cambridge University Press, 1990. — С. 42–44. — (Cambridge Mathematical Library). — ISBN 978-0-521-39790-2. Оригинальный год издания — 1905
  • Felix Klein. Zur Theorie der Liniencomplexe des ersten und zweiten Grades // Mathematische Annalen. — Springer Berlin / Heidelberg, 1870. — Т. 2. — С. 198–226. — ISSN 0025-5831. — doi:10.1007/BF01444020.

Read other articles:

Jeon So-min

Ini adalah nama Korea; marganya adalah Jeon. Jeon So-minFoto Jeon Somin oleh King Kong by StarshipLahir7 April 1986 (umur 37)Busan, Korea SelatanPendidikanDongduk Women's University - Penyiaran dan HiburanPekerjaanAktrisTahun aktif2004–sekarangAgenStarship Entertainment,[1] King Kong by Starship[2]Tinggi168 cm (5 ft 6 in)Nama KoreaHangul전소민 Hanja全昭旻 Alih AksaraJeon So-minMcCune–ReischauerChŏn So-min Jeon So-min (lahir 7 April 1986) ada...

 

Angkatan Darat Bela Diri Jepang

Angkatan Darat Bela Diri Jepang陸上自衛隊Rikujō JieitaiBendera Angkatan Darat Bela Diri JepangDibentuk1 Juli 1954Negara JepangTipe unitAngkatan daratJumlah personel150.000 personil aktifBagian dari Pasukan Bela Diri JepangMarkasIchigaya, Shinjuku, Tokyo, JepangJulukanJGSDF, GSDFSitus webwww.mod.go.jp/gsdfTokohPanglima Tertinggi Perdana Menteri Fumio KishidaMenteri Pertahanan Yasukazu HamadaKepala Staf Gabungan Jenderal Kōji YamazakiKepala Staf Angkatan Darat Jenderal Yoshihide Yos...

 

ماغنون

ماغنونمعلومات عامةصنف فرعي من بوزون الكتلة 0 electronvolt per speed of light squared (en) العدد الكمي اللفي 1 متوسط ​​العمر 1 لانهاية التفاعل جاذبية تعديل - تعديل مصدري - تعديل ويكي بيانات جزء من سلسلة مقالات حولفيزياء المواد المكثفة طور · تحول طوري · نقطة كمومية حرجة حالات المادةصلبسائل...

Giovanni Simonelli (allenatore)

Giovanni Simonelli Nazionalità  Italia Calcio Ruolo Allenatore (ex portiere) Termine carriera 1979 - giocatore 2017 - allenatore Carriera Squadre di club1 1972-1973 Casertana0 (0)1973-1978 Paganese64 (-56)1975-1976 Casertana22 (-20)1978-1979 Frattese25 (-38) Carriera da allenatore 1980-1981 Afragolese1981-1982 Saviano1982-1983 Boys Caivanese1983-1984 Saviano1984-1985 Palmese1985-1986 Boys Caivanese1987-1988 Giugliano1988-1989 ...

 

Синелобый амазон

Синелобый амазон Научная классификация Домен:ЭукариотыЦарство:ЖивотныеПодцарство:ЭуметазоиБез ранга:Двусторонне-симметричныеБез ранга:ВторичноротыеТип:ХордовыеПодтип:ПозвоночныеИнфратип:ЧелюстноротыеНадкласс:ЧетвероногиеКлада:АмниотыКлада:ЗавропсидыКласс:Пт�...

 

Practical Joke (2008 film)

2008 film by Andrei Kudinenko An editor has performed a search and found that sufficient sources exist to establish the subject's notability. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.Find sources: Practical Joke 2008 film – news · newspapers · books · scholar · JSTOR (April 2019) (Learn how and when to remove this template message) Practical JokeTheatrical release po...

Rinko Kikuchi

Rinko KikuchiKikuchi di Festival Film Internasional Berlin ke-65 pada tahun 2015Nama asal菊地 凛子LahirYuriko Kikuchi6 Januari 1981 (umur 43)Kanagawa  JepangPekerjaanAktrisTahun aktif1999–sekarangSitus webwww.rinkokikuchi.com Rinko Kikuchi (菊地 凛子code: ja is deprecated , Kikuchi Rinko), lahir 6 Januari 1981) adalah seorang aktris berkebangsaan Jepang yang memenangkan nominasi Academy Award, Screen Actors Guild Award, dan Golden Globe. Dia dilahirkan di Hadano...

 

コルク

この記事は検証可能な参考文献や出典が全く示されていないか、不十分です。出典を追加して記事の信頼性向上にご協力ください。（このテンプレートの使い方）出典検索?: コルク – ニュース · 書籍 · スカラー · CiNii · J-STAGE · NDL · dlib.jp · ジャパンサーチ · TWL（2017年4月） コルクを打ち抜いて作った瓶の栓 コルク（木栓、�...

 

Maiwand Lion

Sculpture in Reading (UK) by George Blackall Simonds commemorating the battle of Maiwand Maiwand LionArtistGeorge Blackall SimondsYear1886 (1886)TypeSculptureDimensions31 feet highCoordinates51°27′25″N 0°58′03″W / 51.456952°N 0.967481°W / 51.456952; -0.967481 The Maiwand Lion is a sculpture and war memorial in the Forbury Gardens, a public park in the town of Reading, in the English county of Berkshire. The statue was named after the Battle of Maiwand ...

Ferdinando Fairfax, II lord Fairfax di Cameron

Ferdinando Fairfax, II lord Fairfax di CameronLord Fairfax di CameronIn carica1640 –1648 PredecessoreThomas Fairfax, I lord Fairfax di Cameron SuccessoreThomas Fairfax, III lord Fairfax di Cameron NascitaDenton Hall, Yorkshire, 29 marzo 1584 MorteBolton Percy, Yorkshire, 14 marzo 1648 (63 anni) SepolturaBilbrough, Yorkshire DinastiaFairfax di Cameron PadreThomas Fairfax, I lord Fairfax di Cameron MadreEllen Aske ConsorteMary Sheffield Ferdinando Fairfax, II lord Fairfax di C...

 

约翰斯顿环礁

此條目可参照英語維基百科相應條目来扩充。 (2021年5月6日)若您熟悉来源语言和主题，请协助参考外语维基百科扩充条目。请勿直接提交机械翻译，也不要翻译不可靠、低品质内容。依版权协议，译文需在编辑摘要注明来源，或于讨论页顶部标记{{Translated page}}标签。 约翰斯顿环礁Kalama Atoll 美國本土外小島嶼 Johnston Atoll 旗幟颂歌：《星條旗》The Star-Spangled Banner約翰斯頓環礁�...

 

2022 Washington House of Representatives election

2022 legislative election in Washington state 2022 Washington House of Representatives elections ← 2020 November 8, 2022 2024 → All 98 seats in the Washington House of Representatives50 seats needed for a majority   Majority party Minority party   Leader Laurie Jinkins J. T. Wilcox Party Democratic Republican Leader's seat 27th-Tacoma 2nd-Roy Last election 57 41 Seats won 58 40 Seat change 1 1 Results:     Democratic...

مستشفى جينينتان

مستشفى جينينتان إحداثيات 30°40′09″N 114°16′53″E / 30.66929159°N 114.2814184°E / 30.66929159; 114.2814184   معلومات عامة الدولة الصين  سنة التأسيس 2008  معلومات أخرى الموقع الإلكتروني الموقع الرسمي  رقم الهاتف +86-27-8636-5341[1]  تعديل مصدري - تعديل   مستشفى جينينتان (بالصينية: 武�...

 

Initv.net

Artikel ini sebatang kara, artinya tidak ada artikel lain yang memiliki pranala balik ke halaman ini.Bantulah menambah pranala ke artikel ini dari artikel yang berhubungan atau coba peralatan pencari pranala.Tag ini diberikan pada Februari 2023. PT Inspirasi Global IndonesiaJenisMediaKantorpusatGedung Pakarti Center Lt.7 Jl. Tanah Abang III No.23-27, Tanah Abang, Jakarta Pusat, Jakarta, IndonesiaProdukInternet, website iniTV.netURLwww.initv.netTipeSitus Web Video Berita, Politik dan HiburanBa...

 

Italo-libici

Italo-libiciLuogo d'origine Italia Popolazionecirca 22 000 Linguaitaliano, arabo, inglese Religionecattolicesimo Distribuzione  Libia1 500[1] Italiacirca 20 000 Manuale Gli italo-libici sono gli Italiani residenti da molto tempo in Libia, o quelli che vi sono nati da emigranti/coloni italiani. La quasi totalità di loro è oggi rientrata in Italia. Indice 1 Storia 1.1 Nel dopoguerra 2 Demografia 3 Lingua e religione 4 Tradizioni culinarie 5 Note 6 Bi...

1957 in music

This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.Find sources: 1957 in music – news · newspapers · books · scholar · JSTOR (February 2013) (Learn how and when to remove this message) 1957 in music By location United Kingdom Norway By genre country jazz By topic List of albums released Overview of the events of 1957 in mus...

 

Aby for Claythorpe railway station

Former railway station in Lincolnshire, England Aby for ClaythorpeFormer goods shed in March 2010.General informationLocationAby, East LindseyEnglandPlatforms3Other informationStatusDisusedHistoryOriginal companyEast Lincolnshire RailwayPre-groupingGreat Northern RailwayPost-groupingLondon and North Eastern Railway Eastern Region of British RailwaysKey dates3 September 1848Opened as Claythorpe1 November 1885Renamed Aby for Claythorpe11 September 1961Closed The former station house in 1992 Aby...

 

Environmental impact assessment

This article may have confusing or ambiguous abbreviations. Please review the Manual of Style, help improve this article, and discuss this issue on the talk page. (October 2016) (Learn how and when to remove this message) Assessment of the environmental consequences of a decision before action Part of a series onEnvironmental law Pollution control law Environmental impact assessment Air quality law Water quality law Waste management law Environmental cleanup law Natural resources law Species ...

Vùng của Anh

VùngCòn gọi là:Government Office RegionThể loạiVùng thống kêVùng hành chính (1)Vị tríAnh QuốcThành lập1994Số lượng còn tồn tại9 (tính đến 2010)Tình trạng thêmVùng cấp một AnhKhu vực bầu cử Nghị viện châu ÂuDân số2.5–8 triệuDiện tích1.000–23.000 km²Hình thức chính quyềnHội đồng lãnh đạo chính quyền địa phương (6)Hội đồng được bầu (1)không (2)Đơn vị hành chính thấp hơnhạt không...

 

1948 Barbadian general election

Election in Barbados Politics of Barbados Constitution Human rights Executive President (list) Dame Sandra Mason Prime Minister (list) Mia Mottley Cabinet Ministries Legislature House of Assembly Speaker: Arthur Holder Senate President: Reginald Farley Leader Opposition Leader: Bishop Joseph J. S. Atherley Legislation Judiciary Caribbean Court of Justice Supreme Court Chief Justice: Marston Gibson Court of Appeal High Court Magistrates courts Barbados law Human rights Elections Recent electio...