Gyration

This article is about rotational symmetry in mathematics. For the size measure in structural engineering, see radius of gyration. For the motion of a charged particle in an magnetic field, see gyroradius. For the tensor of second moments, see gyration tensor.

In geometry, a gyration is a rotation in a discrete subgroup of symmetries of the Euclidean plane such that the subgroup does not also contain a reflection symmetry whose axis passes through the center of rotational symmetry. In the orbifold corresponding to the subgroup, a gyration corresponds to a rotation point that does not lie on a mirror, called a gyration point.[1]

For example, having a sphere rotating about any point that is not the center of the sphere, the sphere is gyrating. If it was rotating about its center, the rotation would be symmetrical and it would not be considered gyration.

References

  1. ^ Liebeck, Martin W.; Saxl, Jan; Hitchin, N. J.; Ivanov, A. A. (1992-09-10) [1990]. Groups, Combinatorics & Geometry. Lecture note series. Vol. 165 (illustrated ed.). Symposium, London Mathematical Society: Symposium on Groups and Combinatorics (1990), Durham: Cambridge University Press. ISBN 0-52140685-4. ISSN 0076-0552. Retrieved 2010-04-07.{{cite book}}: CS1 maint: location (link) (489 pages)
  • The dictionary definition of gyration at Wiktionary


Stub icon

This geometry-related article is a stub. You can help Wikipedia by expanding it.

Read other articles:

Stasiun Aino (Shizuoka)

CA28Stasiun Aino愛野駅Stasiun Aino pada 2006Lokasi691-8 Aino, Fukuroi-shi, Shizuoka-kenJepangKoordinat34°45′9″N 137°57′42″E / 34.75250°N 137.96167°E / 34.75250; 137.96167Koordinat: 34°45′9″N 137°57′42″E / 34.75250°N 137.96167°E / 34.75250; 137.96167Operator JR CentralJalur Jalur Utama TokaidoLetak234.6 kilometer dari TokyoJumlah peron1 peron pulauInformasi lainStatusMemiliki staf (Midori no Madoguchi)SejarahDibuka22 Ap...

 

 

Emre Aşık

Emre Aşık Informasi pribadiNama lengkap Emre AşıkTanggal lahir 13 Desember 1973 (umur 50)Tempat lahir Bursa, TurkiTinggi 1,83 m (6 ft 0 in)Posisi bermain BekKarier senior*Tahun Tim Tampil (Gol)0000–1992 S. Filamentspor 28 (0)1992–1993 Balıkesirspor 27 (7)1993–1996 Fenerbahçe 42 (1)1996–2000 İstanbulspor 86 (6)2000–2003 Galatasaray 63 (1)2003–2006 Beşiktaş 32 (2)2006–2010 Galatasaray 39 (1)2007–2008 → Ankaraspor (pinjaman) 26 (1)Total 343 (19)Tim...

 

 

William Tudor Gardiner

American politician (1892–1953) This article includes a list of general references, but it lacks sufficient corresponding inline citations. Please help to improve this article by introducing more precise citations. (November 2021) (Learn how and when to remove this template message) William Tudor Gardiner55th Governor of MaineIn officeJanuary 2, 1929 – January 4, 1933Preceded byOwen BrewsterSucceeded byLouis J. BrannMaine House of RepresentativesIn office1920–1926 Personal deta...

Edvard Beneš

Pour les articles homonymes, voir Benes. Si ce bandeau n'est plus pertinent, retirez-le. Cliquez ici pour en savoir plus. Cet article ne cite pas suffisamment ses sources (janvier 2018). Si vous disposez d'ouvrages ou d'articles de référence ou si vous connaissez des sites web de qualité traitant du thème abordé ici, merci de compléter l'article en donnant les références utiles à sa vérifiabilité et en les liant à la section « Notes et références ». En pratique ...

 

 

Alexander Vasilyevich Belyakov

Alexander Vasilyevich BelyakovLahir(1897-12-21)21 Desember 1897Bezzubovo, Kegubernuran Moskwa Kekaisaran RusiaMeninggal28 Oktober 1982(1982-10-28) (umur 85)Moskwa, SFSR Rusia Soviet UnionPengabdian Kekaisaran Rusia Soviet Rusia Uni SovietDinas/cabang Angkatan Darat Kekaisaran Rusia Tentara Merah Angkatan Udara Uni SovietPangkatLetnan-jenderalPerang/pertempuranPerang Saudara Rusia Perang Dunia II Battle of Berlin Alexander Vasilyevich Belyakov (bahasa Rusia: Алекса́ндр Ва�...

 

 

NYU Langone Hospital – Brooklyn

This article contains content that is written like an advertisement. Please help improve it by removing promotional content and inappropriate external links, and by adding encyclopedic content written from a neutral point of view. (May 2021) (Learn how and when to remove this template message) Hospital in New York, United StatesNYU Langone Hospital – BrooklynNYU Langone Medical CenterView of hospital from Second AvenueLocation within New York CityGeographyLocation150 55th Street, Brooklyn, ...

The Last Temptation of Christ (film)

The Last Temptation of ChristPoster rilis teatrikalSutradaraMartin ScorseseProduserBarbara De FinaHarry UlflandSkenarioPaul SchraderBerdasarkanThe Last Temptation of Christoleh Nikos KazantzakisPemeranWillem DafoeHarvey KeitelBarbara HersheyHarry Dean StantonDavid BowieAndre GregoryPenata musikPeter GabrielSinematograferMichael BallhausPenyuntingThelma SchoonmakerPerusahaanproduksiCineplex Odeon FilmsDistributorUniversal PicturesTanggal rilis 12 Agustus 1988 (1988-08-12) Durasi162 ...

 

 

First Battle of Bull Run

First major land battle of the American Civil War First Battle of Bull RunBattle of First Manassas[1]Part of the American Civil WarStruggle on a Manassas, Virginia bridge during the Union Army's retreat in 1861 depicted in an engraving by William Ridgway based on a drawing by F. O. C. DarleyDateJuly 21, 1861 (1861-07-21)LocationFairfax County and Prince William County, Virginia38°48′54″N 77°31′21″W / 38.8150°N 77.5225°W / 38.8150; -77...

 

 

2009 FIFA Club World Cup squads

This article includes a list of references, related reading, or external links, but its sources remain unclear because it lacks inline citations. Please help improve this article by introducing more precise citations. (April 2019) (Learn how and when to remove this message) The 2009 FIFA Club World Cup took place in Abu Dhabi, United Arab Emirates, from 9 December to 19 December 2009. Each of the seven teams involved were required to submit a provisional 30-man squad list (including a minimum...

Arctic ice pack

The sea ice cover of the Arctic Ocean and its vicinity NOAA projected Arctic changes This animation shows the Arctic Ocean melt during the summer of 2011. This visual shows the Arctic sea ice change and the corresponding absorbed solar radiation change during June, July, and August from 2000 through 2014. The Arctic ice pack is the sea ice cover of the Arctic Ocean and its vicinity. The Arctic ice pack undergoes a regular seasonal cycle in which ice melts in spring and summer, reaches a minim...

 

 

El Arenosillo

El Arenosillo Test Centre (CEDEA)C.E.D.E.A. installations in MoguerC.E.D.E.A. installations in MoguerFormation4 October 1966[1]Typerocket launch siteLocationMoguer, SpainCoordinates37°05′49″N 6°44′19″W / 37.09694°N 6.73861°W / 37.09694; -6.73861OwnerINTA (Spain)DirectorCarlos Maestro Fernández El Arenosillo Test Centre (CEDEA) is the name of a rocket launch site for suborbital rockets managed by INTA, located in Moguer (Spain).[2][3 ...

 

 

Xi'an

Prefecture-level city in Shaanxi, China For the Empress Dowager who ruled from 1861 to 1881, see Empress Dowager Ci'an. Xian redirects here. For immortal beings in Chinese mythology, see Xian (Taoism). For other uses, see Xian (disambiguation). Subprovincial and prefecture-level city in Shaanxi, ChinaXi'an 西安市Sian, Hsi-anSubprovincial and prefecture-level cityGiant Wild Goose PagodaDrum TowerBell TowerNandajieTang ParadiseXi'an City WallLocation of Xi'an City jurisdiction in ShaanxiXi'a...

Janis Irwin

Canadian politician (born 1984) Janis IrwinMLAMember of the Legislative Assembly of Alberta for Edmonton-Highlands-NorwoodIncumbentAssumed office April 16, 2019Preceded byBrian Mason Personal detailsBorn (1984-09-09) September 9, 1984 (age 39)Barrhead, AlbertaPolitical partyAlberta NDPResidenceEdmonton, AlbertaAlma materUniversity of Alberta University of CalgaryOccupationTeacher, civil servantWebsitejanisirwin.ca Janis Irwin (born September 9, 1984)[1] is a Canadian politici...

 

 

Superstar 2006

Superstar 2006Album Kompilasi karya Berbagai ArtisDirilis2 Agustus 2006GenrePop & RockLabelMusica Studio Superstar 2006 adalah lanjutan dari album Superstar 2005 Vol. 2 yang merupakan album dari musisi terbaik tanah air seperti Dewa 19, Peterpan, Radja, ADA Band dan masih banyak lagi. Daftar lagu Karena Wanita (Ingin Dimengerti) - ADA Band Demi Waktu - Ungu Benci Bilang Cinta - Radja Sampai Nanti, Sampai Mati - Letto Izinkan Aku Menyayangimu - Iwan Fals Tak Bisakah - Peterpan Naluri ...

 

 

Sakra Assembly constituency

Vidhan Sabha constituencySakraConstituency No. 92 for the Bihar Legislative AssemblyConstituency detailsCountryIndiaRegionEast IndiaStateBiharDistrictMuzaffarpurEstablished1957ReservationSC Elected year2020 Sakra Assembly constituency is an assembly constituency in Muzaffarpur district in the Indian state of Bihar. It is reserved for scheduled castes. Overview As per Delimitation of Parliamentary and Assembly constituencies Order, 2008, No. 92 Sakra Assembly constituency (SC) is composed of ...

Paus Adeodatus I

Santo PausAdeodatus IAwal masa kepausan13 November 615Akhir masa kepausan8 November 618PendahuluBonifasius IVPenerusBonifasius VInformasi pribadiNama lahirDeusdeditus, putra StefanusLahirtanggal tidak diketahuiRoma, ItaliaWafat8 November 618Roma, ItaliaPaus lainnya yang bernama Adeodatus Santo Paus Adeodatus I (???-8 November 618) adalah Paus Gereja Katolik Roma sejak 13 November 615 hingga 8 November 618. Ia juga disebut Deusdedit, yang memiliki arti yang sama dengan Adeodatus, yaitu Pemberi...

 

 

FANCD2

Protein-coding gene in the species Homo sapiens FANCD2IdentifiersAliasesFANCD2, FA-D2, FA4, FACD, FAD, FAD2, FANCD, Fanconi anemia complementation group D2, FA complementation group D2External IDsOMIM: 613984; MGI: 2448480; HomoloGene: 13212; GeneCards: FANCD2; OMA:FANCD2 - orthologsGene location (Human)Chr.Chromosome 3 (human)[1]Band3p25.3Start10,026,370 bp[1]End10,101,932 bp[1]RNA expression patternBgeeHumanMouse (ortholog)Top expressed intesticleventricular zoneseco...

 

 

Wolfgang Ischinger

German diplomat Wolfgang IschingerWolfgang Ischinger at the 50th Munich Security Conference, 2014Chair of the Munich Security ConferenceIn office2008–2022Preceded byHorst TeltschikSucceeded byChristoph HeusgenGerman Ambassador to the Court of St. JamesIn officeMarch 2006 – June 2008PresidentHorst KöhlerPreceded byThomas MatussekSucceeded byGeorg BoomgaardenGerman Ambassador to the United StatesIn officeJune 2001 – March 2006PresidentJohannes RauHorst KöhlerPreceded b...

Analogrechner

Simulation des Antriebsstrangs eines Ackerschleppers mit Hybridrechner EAI-8800 und Hardware-in-the-Loop (1987) Analogrechner sind Rechengeräte oder Rechenmaschinen, mit denen Berechnungen mit Hilfe von kontinuierlichen mechanischen oder elektrischen Vorgängen durchgeführt werden. Sie unterscheiden sich von Digitalrechnern dadurch, dass keine Stücke oder Ereignisse gezählt werden und sowohl die Rechenwerte als auch der Zeitverlauf kontinuierlich abgebildet werden. Beim Rechenschieber, ei...

 

 

ベルジャーンシクの戦い

ベルジャーンシクの戦いロシアのウクライナ侵攻中時2022年2月26日 - 27日場所 ウクライナザポリージャ州ベルジャーンシク結果 ロシアの勝利衝突した勢力  ロシア  ウクライナ部隊 ロシア海軍 第810親衛海軍歩兵旅団[1] ウクライナ海軍 第406砲兵旅団 第66榴弾砲大隊[2]被害者数 不明 ギュルザ-M級砲艇（英語版）2隻鹵獲 ウクライナ側: 民間人1人死亡、...