Stericated 7-orthoplexes

Orthogonal projections in B6 Coxeter plane

7-orthoplex
Stericated 7-orthoplex
Steritruncated 7-orthoplex

Bisteritruncated 7-orthoplex
Stericantellated 7-orthoplex
Stericantitruncated 7-orthoplex

Bistericantitruncated 7-orthoplex
Steriruncinated 7-orthoplex
Steriruncitruncated 7-orthoplex

Steriruncicantellated 7-orthoplex
Bisteriruncitruncated 7-orthoplex
Steriruncicantitruncated 7-orthoplex

In seven-dimensional geometry, a stericated 7-orthoplex is a convex uniform 7-polytope with 4th order truncations (sterication) of the regular 7-orthoplex.

There are 24 unique sterication for the 7-orthoplex with permutations of truncations, cantellations, and runcinations. 14 are more simply constructed from the 7-cube.

This polytope is one of 127 uniform 7-polytopes with B7 symmetry.

Stericated 7-orthoplex

Stericated 7-orthoplex
Type uniform 7-polytope
Schläfli symbol t0,4{35,4}
Coxeter-Dynkin diagrams
6-faces
5-faces
4-faces
Cells
Faces
Edges
Vertices
Vertex figure
Coxeter groups B7, [4,35]
Properties convex

Alternate names

  • Small cellated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[1]

Images

orthographic projections
Coxeter plane B7 / A6 B6 / D7 B5 / D6 / A4
Graph
Dihedral symmetry [14] [12] [10]
Coxeter plane B4 / D5 B3 / D4 / A2 B2 / D3
Graph
Dihedral symmetry [8] [6] [4]
Coxeter plane A5 A3
Graph
Dihedral symmetry [6] [4]

Steritruncated 7-orthoplex

steritruncated 7-orthoplex
Type uniform 7-polytope
Schläfli symbol t0,1,4{35,4}
Coxeter-Dynkin diagrams
6-faces
5-faces
4-faces
Cells
Faces
Edges
Vertices
Vertex figure
Coxeter groups B7, [4,35]
Properties convex

Alternate names

  • Cellitruncated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[2]

Images

orthographic projections
Coxeter plane B7 / A6 B6 / D7 B5 / D6 / A4
Graph
Dihedral symmetry [14] [12] [10]
Coxeter plane B4 / D5 B3 / D4 / A2 B2 / D3
Graph
Dihedral symmetry [8] [6] [4]
Coxeter plane A5 A3
Graph
Dihedral symmetry [6] [4]

Bisteritruncated 7-orthoplex

bisteritruncated 7-orthoplex
Type uniform 7-polytope
Schläfli symbol t1,2,5{35,4}
Coxeter-Dynkin diagrams
6-faces
5-faces
4-faces
Cells
Faces
Edges
Vertices
Vertex figure
Coxeter groups B7, [4,35]
Properties convex

Alternate names

  • Bicellitruncated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[3]

Images

orthographic projections
Coxeter plane B7 / A6 B6 / D7 B5 / D6 / A4
Graph
Dihedral symmetry [14] [12] [10]
Coxeter plane B4 / D5 B3 / D4 / A2 B2 / D3
Graph
Dihedral symmetry [8] [6] [4]
Coxeter plane A5 A3
Graph
Dihedral symmetry [6] [4]

Stericantellated 7-orthoplex

Stericantellated 7-orthoplex
Type uniform 7-polytope
Schläfli symbol t0,2,4{35,4}
Coxeter-Dynkin diagrams
6-faces
5-faces
4-faces
Cells
Faces
Edges
Vertices
Vertex figure
Coxeter groups B7, [4,35]
Properties convex

Alternate names

  • Cellirhombated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[4]

Images

orthographic projections
Coxeter plane B7 / A6 B6 / D7 B5 / D6 / A4
Graph
Dihedral symmetry [14] [12] [10]
Coxeter plane B4 / D5 B3 / D4 / A2 B2 / D3
Graph
Dihedral symmetry [8] [6] [4]
Coxeter plane A5 A3
Graph
Dihedral symmetry [6] [4]

Stericantitruncated 7-orthoplex

stericantitruncated 7-orthoplex
Type uniform 7-polytope
Schläfli symbol t0,1,2,4{35,4}
Coxeter-Dynkin diagrams
6-faces
5-faces
4-faces
Cells
Faces
Edges
Vertices
Vertex figure
Coxeter groups B7, [4,35]
Properties convex

Alternate names

  • Celligreatorhombated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[5]

Images

orthographic projections
Coxeter plane B7 / A6 B6 / D7 B5 / D6 / A4
Graph
Dihedral symmetry [14] [12] [10]
Coxeter plane B4 / D5 B3 / D4 / A2 B2 / D3
Graph
Dihedral symmetry [8] [6] [4]
Coxeter plane A5 A3
Graph
Dihedral symmetry [6] [4]

Bistericantitruncated 7-orthoplex

bistericantitruncated 7-orthoplex
Type uniform 7-polytope
Schläfli symbol t1,2,3,5{35,4}
Coxeter-Dynkin diagrams
6-faces
5-faces
4-faces
Cells
Faces
Edges
Vertices
Vertex figure
Coxeter groups B7, [4,35]
Properties convex

Alternate names

  • Bicelligreatorhombated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[6]

Images

orthographic projections
Coxeter plane B7 / A6 B6 / D7 B5 / D6 / A4
Graph
Dihedral symmetry [14] [12] [10]
Coxeter plane B4 / D5 B3 / D4 / A2 B2 / D3
Graph
Dihedral symmetry [8] [6] [4]
Coxeter plane A5 A3
Graph
Dihedral symmetry [6] [4]

Steriruncinated 7-orthoplex

Steriruncinated 7-orthoplex
Type uniform 7-polytope
Schläfli symbol t0,3,4{35,4}
Coxeter-Dynkin diagrams
6-faces
5-faces
4-faces
Cells
Faces
Edges
Vertices
Vertex figure
Coxeter groups B7, [4,35]
Properties convex

Alternate names

  • Celliprismated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[7]

Images

orthographic projections
Coxeter plane B7 / A6 B6 / D7 B5 / D6 / A4
Graph too complex
Dihedral symmetry [14] [12] [10]
Coxeter plane B4 / D5 B3 / D4 / A2 B2 / D3
Graph
Dihedral symmetry [8] [6] [4]
Coxeter plane A5 A3
Graph
Dihedral symmetry [6] [4]

Steriruncitruncated 7-orthoplex

steriruncitruncated 7-orthoplex
Type uniform 7-polytope
Schläfli symbol t0,1,3,4{35,4}
Coxeter-Dynkin diagrams
6-faces
5-faces
4-faces
Cells
Faces
Edges
Vertices
Vertex figure
Coxeter groups B7, [4,35]
Properties convex

Alternate names

  • Celliprismatotruncated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[8]

Images

orthographic projections
Coxeter plane B7 / A6 B6 / D7 B5 / D6 / A4
Graph
Dihedral symmetry [14] [12] [10]
Coxeter plane B4 / D5 B3 / D4 / A2 B2 / D3
Graph
Dihedral symmetry [8] [6] [4]
Coxeter plane A5 A3
Graph
Dihedral symmetry [6] [4]

Steriruncicantellated 7-orthoplex

steriruncicantellated 7-orthoplex
Type uniform 7-polytope
Schläfli symbol t0,2,3,4{35,4}
Coxeter-Dynkin diagrams
6-faces
5-faces
4-faces
Cells
Faces
Edges
Vertices
Vertex figure
Coxeter groups B7, [4,35]
Properties convex

Alternate names

  • Celliprismatorhombated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[9]

Images

orthographic projections
Coxeter plane B7 / A6 B6 / D7 B5 / D6 / A4
Graph
Dihedral symmetry [14] [12] [10]
Coxeter plane B4 / D5 B3 / D4 / A2 B2 / D3
Graph
Dihedral symmetry [8] [6] [4]
Coxeter plane A5 A3
Graph
Dihedral symmetry [6] [4]

Steriruncicantitruncated 7-orthoplex

steriruncicantitruncated 7-orthoplex
Type uniform 7-polytope
Schläfli symbol t0,1,2,3,4{35,4}
Coxeter-Dynkin diagrams
6-faces
5-faces
4-faces
Cells
Faces
Edges
Vertices
Vertex figure
Coxeter groups B7, [4,35]
Properties convex

Alternate names

  • Great cellated hecatonicosoctaexon (acronym: ) (Jonathan Bowers)[10]

Images

orthographic projections
Coxeter plane B7 / A6 B6 / D7 B5 / D6 / A4
Graph
Dihedral symmetry [14] [12] [10]
Coxeter plane B4 / D5 B3 / D4 / A2 B2 / D3
Graph
Dihedral symmetry [8] [6] [4]
Coxeter plane A5 A3
Graph
Dihedral symmetry [6] [4]

Notes

  1. ^ Klitizing, (x3o3o3o3x3o4o - )
  2. ^ Klitizing, (x3x3o3o3x3o4o - )
  3. ^ Klitizing, (o3x3x3o3o3x4o - )
  4. ^ Klitizing, (x3o3x3o3x3o4o - )
  5. ^ Klitizing, (x3x3x3o3x3o4o - )
  6. ^ Klitizing, (o3x3x3x3o3x4o - )
  7. ^ Klitizing, (x3o3o3x3x3o4o - )
  8. ^ Klitizing, (x3x3x3o3x3o4o - )
  9. ^ Klitizing, (x3o3x3x3x3o4o - )
  10. ^ Klitizing, (x3x3x3x3x3o4o - )

References

  • H.S.M. Coxeter:
    • H.S.M. Coxeter, Regular Polytopes, 3rd Edition, Dover New York, 1973
    • 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]
      • (Paper 23) H.S.M. Coxeter, Regular and Semi-Regular Polytopes II, [Math. Zeit. 188 (1985) 559-591]
      • (Paper 24) H.S.M. Coxeter, Regular and Semi-Regular Polytopes III, [Math. Zeit. 200 (1988) 3-45]
  • Norman Johnson Uniform Polytopes, Manuscript (1991)
    • N.W. Johnson: The Theory of Uniform Polytopes and Honeycombs, Ph.D.
  • Klitzing, Richard. "7D uniform polytopes (polyexa)".
Fundamental convex regular and uniform polytopes in dimensions 2–10
Family An Bn I2(p) / Dn E6 / E7 / E8 / F4 / G2 Hn
Regular polygon Triangle Square p-gon Hexagon Pentagon
Uniform polyhedron Tetrahedron Octahedron • Cube Demicube Dodecahedron • Icosahedron
Uniform polychoron Pentachoron 16-cell • Tesseract Demitesseract 24-cell 120-cell • 600-cell
Uniform 5-polytope 5-simplex 5-orthoplex • 5-cube 5-demicube
Uniform 6-polytope 6-simplex 6-orthoplex • 6-cube 6-demicube 122 • 221
Uniform 7-polytope 7-simplex 7-orthoplex • 7-cube 7-demicube 132 • 231 • 321
Uniform 8-polytope 8-simplex 8-orthoplex • 8-cube 8-demicube 142 • 241 • 421
Uniform 9-polytope 9-simplex 9-orthoplex • 9-cube 9-demicube
Uniform 10-polytope 10-simplex 10-orthoplex • 10-cube 10-demicube
Uniform n-polytope n-simplex n-orthoplex • n-cube n-demicube 1k2 • 2k1 • k21 n-pentagonal polytope
Topics: Polytope families • Regular polytope • List of regular polytopes and compounds

Read other articles:

Zollverein

Halaman ini berisi artikel tentang serikat pabean Jerman dalam sejarah. Untuk situs Warisan Kebudayaan Dunia UNESCO di Essen, lihat Kompleks Industri Pertambangan Batubara Zollverein. Zollverein Jerman, 1834–1919.Biru: Prusia pada 1834.Abu-abu: Wilayah yang tergabung dalam Zollverein hingga tahun 1866.Kuning: Wilayah Austria di luar Zollverein. Merah: Perbatasan 1828Konfederasi Jerman. Zollverein ([ˈtsɔlfɛɐ̯ˌʔaɪn]) atau Serikat Pabean Jerman adalah koalisi negara-negara Jerman yang ...

 

Ottó Bláthy

Biografi ini tidak memiliki sumber tepercaya sehingga isinya tidak dapat dipastikan. Bantu memperbaiki artikel ini dengan menambahkan sumber tepercaya. Materi kontroversial atau trivial yang sumbernya tidak memadai atau tidak bisa dipercaya harus segera dihapus.Cari sumber: Ottó Bláthy – berita · surat kabar · buku · cendekiawan · JSTOR (Pelajari cara dan kapan saatnya untuk menghapus pesan templat ini) Ottó Titusz Bláthy Ottó Titusz Bláthy (1860...

 

Павол Орсаг

Павол Орсагсловац. Pavol Országh Hviezdoslav Псевдонім Jozef Zbranský і Hviezdoslav[1]Народився 2 лютого 1849(1849-02-02)Вишни Кубін, Дольний Кубін, Жилінський крайПомер 8 листопада 1921(1921-11-08) (72 роки)Дольний Кубін, Жилінський крайПоховання Дольний КубінКраїна  ЧехословаччинаДіяльність поет...

Bima (Mahabharata)

Bhima beralih ke halaman ini. Untuk pengertian lain, lihat Bima (disambiguasi). BimaभीमTokoh MahabharataNamaBimaEjaan DewanagariभीमEjaan IASTBhīmaNama lainWerkodara, Bimasena, Bayusuta, Bratasena, Jagal Abilawa, Bimasuci(pendeta)Kitab referensiMahabharata, Bhagawadgita, PuranaAsalKerajaan KuruKediamanHastinapura, lalu pindah ke IndraprasthaKastakesatriaProfesiKesatria, juru masak (saat masa penyamaran),pegulat (saat masa penyamaran)DinastiKuruSenjataGada, (Jawa) Kuku Pancanaka, G...

 

فرانسيسكو أيالا

  ميّز عن فرانسيسكو أيالا (روائي). فرانسيسكو أيالا (بالإسبانية: Francisco José Ayala)‏  معلومات شخصية اسم الولادة (بالإسبانية: Francisco José Ayala Pereda)‏  الميلاد 12 مارس 1934[1][2]  مدريد[3]  الوفاة 5 مارس 2023 (88 سنة) [4]  كاليفورنيا[5]  الإقامة إرفاين  مواطنة إ

 

فيكتور هوغو باروس

فيكتور هوغو باروس معلومات شخصية الميلاد 25 مايو 1961 (العمر 62 سنة)البرازيل  الجنسية البرازيل  المسيرة الاحترافية1 سنوات فريق م. (هـ.) 1970–1975 إنترناسيونال 1971 → Clube Esportivo Bento Gonçalves [الإنجليزية]‏ (إعارة) 1975 كوريتيبا 1976 جوفنتودي 1976–1980 غريميو بورتو أليغرينزي 1981–1982 بالميراس...

Калан морський

Калан морський Охоронний статус Під загрозою зникнення (МСОП 3.1) Біологічна класифікація Царство: Тварини (Animalia) Тип: Хордові (Chordata) Клада: Синапсиди (Synapsida) Клас: Ссавці (Mammalia) Ряд: Хижі (Carnivora) Родина: Мустелові (Mustelidae) Рід: Калан (Enhydra) Вид: Калан морський (E. lutris) Біноміальн

 

Weightlifting at the 2014 Asian Games – Men's 94 kg

Men's 94 kg at the 2014 Asian GamesVenueMoonlight Festival Garden VenueDate25 SeptemberCompetitors16 from 13 nationsMedalists  Liu Hao   China Almas Uteshov   Kazakhstan Lee Chang-ho   South Korea← 20102018 → Weightlifting at the2014 Asian GamesMenWomen56 kg48 kg62 kg53 kg69 kg58 kg77 kg63 kg85 kg69 kg94 kg75 kg105 kg+75 kg+105 kgvte Main article: Weightlifting at the 2014 Asian Games The men's 94 kilograms...

 

Beli Manastir

Town in Baranya, CroatiaBeli ManastirTownGrad Beli Manastir Town of Beli ManastirBeli Manastir Coat of armsBeli ManastirLocation of Beli Manastir in CroatiaShow map of Osijek-Baranja CountyBeli ManastirBeli Manastir (Croatia)Show map of CroatiaBeli ManastirBeli Manastir (Europe)Show map of EuropeCoordinates: 45°46′N 18°36′E / 45.767°N 18.600°E / 45.767; 18.600Country CroatiaRegionBaranya (Podunavlje)County Osijek-BaranjaGovernment • MayorT...

Keuskupan Bunbury (Katolik)

Untuk keuskupan bernama sama dalam Gereja Anglikan, lihat Keuskupan Bunbury (Anglikan). Keuskupan BunburyDiœcesis BumburiensisKatolik Katedral BunburyLokasiNegara AustraliaWilayahSouth West dan Great Southern, Australia BaratProvinsi gerejawiPerthKoordinat33°19′46″S 115°38′13″E / 33.32944°S 115.63694°E / -33.32944; 115.63694StatistikLuas184.000 km2 (71.000 sq mi)Populasi- Total- Katolik(per 2012)283.00058,522 (20.7%)...

 

KMGW (FM)

Radio station in Naches, WashingtonKMGWNaches, WashingtonBroadcast areaYakima, WashingtonFrequency99.3 MHzBrandingMegaHits 99.3ProgrammingFormatClassic hitsOwnershipOwnerTownsquare Media(Townsquare License, LLC)HistoryFirst air date2000 (as KREW-FM)Former call signsKBMU (5/10/1999-5/26/1999, CP)KREW-FM (1999-2002)KQSN (2002-2008)KQMY (2008-2012)KIT-FM (2012-2015)Technical informationFacility ID88006ClassAERP790 wattsHAAT274 meters (899 ft)Transmitter coordinates46°36′2.00″N 120°52...

 

Dear John (Eddi Reader song)

1994 single by Eddi ReaderDear JohnSingle by Eddi Readerfrom the album Eddi Reader B-sideBattersea MoonReleased1994Length4:08LabelBlanco y NegroSongwriter(s)Kirsty MacCollMark E. NevinProducer(s)Greg PennyEddi Reader singles chronology Joke (I'm Laughing) (1994) Dear John (1994) Nobody Lives Without Love (1995) Dear John is a song by Scottish singer-songwriter Eddi Reader, which was released in 1994 as the third and final single from her second studio album Eddi Reader. It was written by Kirs...

Xu Lin (Hanban)

Chinese politician For other people named Xu Lin, see Xu Lin (born 1963). This article may lend undue weight to certain ideas, incidents, or controversies. Please help improve it by rewriting it in a balanced fashion that contextualizes different points of view. (January 2015) (Learn how and when to remove this template message) In this Chinese name, the family name is Xu. Xu LinTraditional Chinese許琳Simplified Chinese许琳TranscriptionsStandard MandarinHanyu PinyinXǔ LínWade–Gil...

 

Maharashtra Kesari

Wrestling championship in Maharashtra, India Maharashtra KesariTournament informationSportIndian-style wrestlingLocationMaharashtra, IndiaEstablished1854; 169 years ago (1854)[1]1961(Current Format)WebsiteOfficial WebsiteCurrent championShivraj rakshe Maharashtra Kesari (transl. Lion of Maharashtra in Sanskrit) is an Indian-style wrestling championship, established in 1854 in Maharashtra, India. It is organized by the Maharashtra Kustigir Parishad. Prize Cash p...

 

Jordan Veretout

French footballer (born 1993) Jordan Veretout Veretout playing for France U19 in 2012Personal informationFull name Jordan Marcel Gilbert Veretout[1]Date of birth (1993-03-01) 1 March 1993 (age 30)[2]Place of birth Ancenis, FranceHeight 1.77 m (5 ft 10 in)[2]Position(s) MidfielderTeam informationCurrent team MarseilleNumber 27Youth career1999–2003 Belligne2003–2011 NantesSenior career*Years Team Apps (Gls)2011–2015 Nantes 130 (14)2015–2017 As...

Free Voters of Bavaria

Political party in Germany You can help expand this article with text translated from the corresponding article in German. (October 2018) Click [show] for important translation instructions. View a machine-translated version of the German article. Machine translation, like DeepL or Google Translate, is a useful starting point for translations, but translators must revise errors as necessary and confirm that the translation is accurate, rather than simply copy-pasting machine-translated t...

 

Mobile Suit Gundam Wing

Japanese mecha anime series Mobile Suit Gundam WingNorth American cover of the first Gundam Wing DVD volume, featuring the protagonist Heero Yuy and the titular Wing Gundam.新機動戦記ガンダムW(ウイング)(Shin Kidō Senki Gandamu Wingu)GenreMecha, military science fiction Anime television seriesDirected byMasashi Ikeda (eps. 1-26)Shinji Takamatsu (eps. 27-49, uncredited)Produced byHideyuki TomiokaWritten byKatsuyuki SumizawaMusic byKow OtaniStudioSunriseLicensed...

 

Julia Sarah Stone

Canadian actress (born 1997) Julia Sarah StoneStone at the 2014 Toronto International Film FestivalBorn (1997-11-24) November 24, 1997 (age 26)[1]Vancouver, British Columbia, CanadaOccupationActorYears active2009–present Julia Sarah Stone (born November 24, 1997)[1] is a Canadian actress. She began studying theater at the age of six, and appeared in a number of school plays over the following years. After booking a small part in an independent short film in 2009, s...

Marcos GT

Motor vehicle Marcos GTOverviewManufacturerMarcos Engineering Ltd.Also calledMarcos 1500/1600/1650Marcos 1800Marcos 2-litreMarcos 3-litreProduction1964–19721981–1990DesignerDennis and Peter Adams[1]Body and chassisClassSports carBody style2-door coupéPowertrainEngine1.5 L Ford Kent I41.6 L Ford Crossflow I41.65 L Ford Kent I41.8 L Volvo B18 I42.0 L Ford Essex V42.5 L Triumph I63.0 L Volvo B30 I63.0 L Ford Essex V6[2]Transm...

 

Dr. E.P. Hawkins Clinic, Hospital, and House

United States historic placeDr. E.P. Hawkins Clinic, Hospital and HouseU.S. National Register of Historic Places The Dr. E.P. Hawkins Clinic, Hospital and House (left to right) from the southwestShow map of MinnesotaShow map of the United StatesLocation210–230 Buffalo Avenue South, Montrose, MinnesotaCoordinates45°4′3.5″N 93°54′39.5″W / 45.067639°N 93.910972°W / 45.067639; -93.910972Area1 acre (0.40 ha)Builtc. 1885, c. 1890, and 1903MPSWright County ...

 

Strategi Solo vs Squad di Free Fire: Cara Menang Mudah!