Grande cubicubottaedro

Tipo

Poliedro stellato uniforme

Forma facce

8 triangoli
6 quadrati
6 ottagrammi

Nº facce

Nº spigoli

Nº vertici

Caratteristica di Eulero

-4

Incidenza dei vertici

3.⁸/₃.4.⁸/₃

Notazione di Wythoff

3 4 | ⁴/₃
4 ³/₂ | 4

Diagramma di Coxeter-Dynkin

Gruppo di simmetria

O_h, [4,3], *432

Duale

Grande icositetraedro esacronico

Proprietà

Politopi correlati

In geometria, il grande cubicubottaedro è un poliedro stellato uniforme avente 20 facce - 8 triangolari, 6 quadrate e 6 forma di ottagramma - 48 spigoli e 24 vertici.^[1]

Costruzioni di Wythoff

Utilizzando la costruzione di Wythoff, il grande cubicubottaedro si può ottenere utilizzando tre famiglie di triangoli di Schwarz: 3 4 | ⁴/₃ e 4 ³/₂ | 4, ottenendo sempre lo stesso risultato.

Coordinate cartesiane

Le coordinate cartesiane per i vertici del grande cubicubottaedro sono date da tutte le permutazioni di:

\left(\,\pm 1,\,\pm 1,\,\pm ({\sqrt {2}}-1)\,\right).

Poliedri correlati

Il grande cubicubottaedro, spesso indicato con il simbolo U₁₄, ha la stessa disposizione di vertici del cubo troncato, il suo inviluppo convesso; inoltre, esso condivide anche la posizione degli spigoli con il grande rombicubottaedro stellato, avendo in comune con esso la disposizione delle facce triangolari e di 6 facce quadrate, e con il grande rombiesaedro, con cui condivide la disposizione delle facce ottagrammiche.

Cubo troncato	Grande rombicubottaedro stellato	Grande cubicubottaedro	Grande rombiesaedro

Grande icositetraedro esacronico

Grande icositetraedro esacronico

Tipo	Poliedro stellato
Forma facce	Antiparallelogrammi
Nº facce	24
Nº spigoli	48
Nº vertici	20
Caratteristica di Eulero	-4
Gruppo di simmetria	O_h, [4,3], *432
Duale	Grande cubicubottaedro
Manuale

Il grande icositetraedro esacronico è un poliedro stellato isoedro, nonché il duale del grande cubicubottaedro, avente per facce 24 aquiloni.^[2]

Dato un grande cubicubottaedro di spigolo pari a 1, immaginando il grande grande icositetraedro esacronico come composto da 24 facce intersecanti a forma di aquilone, come riportato nella figura sottostante, di cui solo una parte visibile all'esterno del solido, le facce risultanti hanno una coppia di angoli uguali di ampiezza pari a $\arccos({\frac {1}{4}}-{\frac {1}{2}}{\sqrt {2}})\approx 117,200\,570\,380\,16^{\circ }$ e due angoli di ampiezza $\arccos(-{\frac {1}{4}}+{\frac {1}{8}}{\sqrt {2}})\approx 94,199\,144\,429\,76^{\circ }$ e $\arccos({\frac {1}{2}}+{\frac {1}{4}}{\sqrt {2}})\approx 31,399\,714\,809\,92^{\circ }$ , con il rapporto tra lati lunghi e lati corti pari a $2+{\frac {1}{2}}{\sqrt {2}}\approx 2,70710678118655$ .

Note

^ Roman Maeder, 14: great cubicuboctahedron, su Mathconsult. URL consultato il 24 marzo 2024.
^ Magnus J. Wenninger, Dual Models, Cambridge University Press, 2004, pp. 58. URL consultato il 20 marzo 2024.

Collegamenti esterni

(EN) Eric W. Weisstein, Grande cubicubottaedro, su MathWorld, Wolfram Research.
(EN) Eric W. Weisstein, Grande icositetraedro esacronico, in MathWorld, Wolfram Research. URL consultato il 20 marzo 2024.

Portale Matematica: accedi alle voci di Wikipedia che trattano di matematica

Read other articles:

Katedral Rennes

Katedral RennesKatedral Santo PetrusPrancis: Cathédrale Saint-Pierre de Rennescode: fr is deprecated Katedral RennesLokasiRennesNegara PrancisDenominasiGereja Katolik RomaArsitekturStatusKatedralStatus fungsionalAktifAdministrasiKeuskupan AgungKeuskupan Agung Rennes Katedral Rennes (Prancis: Cathédrale Saint-Pierre de Rennescode: fr is deprecated ) adalah sebuah gereja katedral Katolik yang terletak di kota Rennes, Prancis. Tempat ini telah menjadi monument historique sejak tahun 1906....

Lillie Rec

This article does not cite any sources. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.Find sources: Lillie Rec – news · newspapers · books · scholar · JSTOR (February 2020) (Learn how and when to remove this template message) 51°28′58″N 0°13′4″W / 51.48278°N 0.21778°W / 51.48278; -0.21778 Lillie Road Recreation Ground in 2005 Lillie Rec (pr...

Once Caldas

Once CaldasNama lengkapOnce Caldas S.A.JulukanEl Blanco (Si Putih); El Blanco Blanco de Manizales (Putih-Putih Manizales); Los Albos (Albos); El Equipo Albo (Tim Albo)Nama singkatONCBerdiri16 April 1947 (1947-04-16) (Foundation of Deportes Caldas)15 Januari 1961; 63 tahun lalu (1961-01-15) (Merger with Once Deportivo)[1]StadionStadion Palogrande, Manizales, Kolombia(Kapasitas: 28,678[2])KetuaJorge Alberto GuerreroPelatihPedro SarmientoLigaCategoría Primera A2022Prim...

Tabla

Tabla Tabla (atau tabl, tabla) (Hindi: तबला, bahasa Marathi: तबला, bahasa Kannada: ತಬಲ, bahasa Telugu: తబల, Tamil: தபேலா, bahasa Bengali: তবলা, bahasa Nepali: तबला, bahasa Urdu: طبلہ, Arab: طبل، طبلةcode: ar is deprecated ) adalah Instrumen musik perkusi tradisional dan yang berasal dari India (dari keluarga membranofon). Alat musik ini dipakai dalam musik klasik Hindustan serta dalam musik popul...

Pampasan perang

Lokomotif angkutan yang diterima Uni Soviet sebagai pampasan perang. Pampasan perang adalah pembayaran yang secara paksa ditarik oleh negeri pemenang perang kepada negeri yang kalah perang sebagai ganti atas kerugian material.[1] Istilah pampasan perang mulai digunakan setelah Perang Dunia I. Saat itu, Blok Sekutu meminta pampasan dalam jumlah besar kepada Jerman namun mereka kesulitan menagihnya.[2] Setelah Perang Dunia II, Uni Soviet dan Blok Barat mengumpulkan pampasan dala...

العلاقات الإريترية الفانواتية

العلاقات الإريترية الفانواتية إريتريا فانواتو إريتريا فانواتو تعديل مصدري - تعديل العلاقات الإريترية الفانواتية هي العلاقات الثنائية التي تجمع بين إريتريا وفانواتو.[1][2][3][4][5] مقارنة بين البلدين هذه مقارنة عامة ومرجعية للدولتين: وجه ...

WCCF (AM)

Radio station in Punta Gorda, Florida WCCFPunta Gorda, FloridaBroadcast areaCharlotte County, FloridaFrequency1580 kHzBrandingWCCF News RadioProgrammingFormatNews/talkAffiliationsFox News RadioCompass Media NetworksGenesis Communications NetworkPremiere NetworksRadio AmericaUSA Radio NetworkWestwood OneTampa Bay BuccaneersTampa Bay RaysOwnershipOwneriHeartMedia, Inc.(iHM Licenses, LLC)Sister stationsWBCG, WBTT, WCKT, WCVU, WIKX, WOLZ, WWCD, WZJZHistoryFirst air date1961 (1961)Call sign m...

Roscoe Turner

20th-century American aviator Roscoe TurnerTurner as narrator on the Sky BlazersBorn(1895-09-29)September 29, 1895Corinth, Mississippi, U.S.DiedJune 23, 1970(1970-06-23) (aged 74)Indianapolis, Indiana, U.S.NationalityAmericanKnown forFlight at MidnightSpouses Carline Stovall (m. 1924⁠–⁠1946) Margaret Madonna Miller (m. 1946) AwardsHarmon Trophy (1933, 1939)National Aviation Hall of Fame...

Igor Boraska

Croatian rower Igor BoraskaOLYBorn (1970-09-26) 26 September 1970 (age 53)Split, SR Croatia, YugoslaviaAlma materBrown University Olympic medal record Men's rowing 2000 Sydney Eight Igor Boraska OLY[1] (born 26 September 1970 in Split) is a Croatian rower who won a bronze medal in the eights competition at the 2000 Summer Olympics in Sydney. Early life Boraska was born on 26 September 1970 in Split, SR Croatia, Yugoslavia. Boraska attended Brown University, where he crewed f...

Jason King (ice hockey)

Canadian ice hockey player and executive Ice hockey player Jason King King with the St. John's IceCaps in 2011Born (1981-09-14) September 14, 1981 (age 42)Corner Brook, Newfoundland, CanadaHeight 6 ft 1 in (185 cm)Weight 195 lb (88 kg; 13 st 13 lb)Position CentreShot LeftPlayed for Vancouver CanucksSkellefteå AIKAnaheim DucksAdler MannheimHamburg FreezersNHL draft 212th overall, 2001Vancouver CanucksPlaying career 2003–2013 Jason King (born Septe...

Gilda

1946 American film noir by Charles Vidor For other uses, see Gilda (disambiguation). GildaTheatrical release poster, Style BDirected byCharles VidorScreenplay by Jo Eisinger Marion Parsonnet Ben Hecht (uncredited) Story byE.A. EllingtonProduced byVirginia Van UppStarring Rita Hayworth Glenn Ford George Macready Joseph Calleia CinematographyRudolph MatéEdited byCharles NelsonMusic byM. W. StoloffMarlin SkilesColor processBlack and whiteProductioncompanyColumbia PicturesDistributed byColu...

大字 (数字)

この項目には、一部のコンピュータや閲覧ソフトで表示できない文字が含まれています（詳細）。数字の大字（だいじ）は、漢数字の一種。通常用いる単純な字形の漢数字（小字）の代わりに同じ音の別の漢字を用いるものである。概要壱万円日本銀行券（「壱」が大字）弐千円日本銀行券（「弐」が大字）漢数字には「一」「二」「三」と続く小字と、「壱」「�...

2020年夏季奥林匹克运动会阿尔及利亚代表团

2020年夏季奥林匹克运动会阿尔及利亚代表團阿尔及利亚国旗IOC編碼ALGNOC阿爾及利亞奧林匹克委員會網站www.coa.dz（法文）2020年夏季奥林匹克运动会（東京）2021年7月23日至8月8日（受2019冠状病毒病疫情影响推迟，但仍保留原定名称）運動員41參賽項目14个大项旗手开幕式：穆罕默德·弗利希（拳击）和阿梅爾·梅利（英语：Amel Melih）（游泳）[1]闭幕式：伊曼·哈利夫（拳�...

2020年夏季奧林匹克運動會波蘭代表團

2020年夏季奥林匹克运动会波兰代表團波兰国旗IOC編碼POLNOC波蘭奧林匹克委員會網站olimpijski.pl（英文）（波兰文）2020年夏季奥林匹克运动会（東京）2021年7月23日至8月8日（受2019冠状病毒病疫情影响推迟，但仍保留原定名称）運動員206參賽項目24个大项旗手开幕式：帕维尔·科热尼奥夫斯基（游泳）和马娅·沃什乔夫斯卡（自行车）[1]闭幕式：卡罗利娜·纳亚（皮划艇）&#...

哈萨克斯坦总统

此条目序言章节没有充分总结全文内容要点。 (2019年3月21日)请考虑扩充序言，清晰概述条目所有重點。请在条目的讨论页讨论此问题。哈萨克斯坦總統哈薩克總統旗現任Қасым-Жомарт Кемелұлы Тоқаев卡瑟姆若马尔特·托卡耶夫自2019年3月20日在任任期7年首任努尔苏丹·纳扎尔巴耶夫设立1990年4月24日（哈薩克蘇維埃社會主義共和國總統）哈萨克斯坦哈萨克斯坦政府...

Westport, Republik Irlandia

Untuk tempat lain dengan nama yang sama, lihat Westport. Westport (bahasa Irlandia: Cathair na Mart) ialah sebuah kota di County Mayo, Provinsi Connacht, bagian barat Republik Irlandia dengan penduduk 5.475 jiwa pada tahun 2006 (5.634 pada tahun 2002). Kota kembar Aror, Kenya Plougastel Daoulas, Prancis Lihat pula Daftar kota di Republik Irlandia 53°48′1″N -9°31′16″E / 53.80028°N 8.47889°W / 53.80028; -8.47889 Coordinates: longitude degrees < 0 with hemi...

Hugh Fortescue, 2nd Earl Fortescue

British politician (1783–1861) The Right HonourableThe Earl FortescueKG PCFortescue, engraving by W. Holl from a painting by George HayterLord Lieutenant of IrelandIn office13 March 1839 – 11 September 1841MonarchVictoriaPrime MinisterThe Viscount MelbournePreceded byThe Marquess of NormanbySucceeded byThe Earl de Grey Personal detailsBorn(1783-02-13)13 February 1783Died14 September 1861(1861-09-14) (aged 78)NationalityBritishPolitical partyWhigSpouse(s)(1) Lady Susan Ryder ...

Scrooby Congregation

Protestant separatists from Nottinghamshire, England The Scrooby Congregation were English Protestant separatists who lived near Scrooby, on the outskirts of Bawtry, a small market town at the border of Yorkshire, Lincolnshire and Nottinghamshire. In 1607/8 the Congregation emigrated to the Netherlands in search of the freedom to worship as they chose. They founded the English separatist church at Leiden, one of several English separatist groups in the Netherlands at the time. History Richard...

Perang Dunia II

Perang Dunia IISearah jarum jam dari kiri atas: Pasukan Tiongkok pada Pertempuran Wanjialing, Meriam 25-pounder Australia pada Pertempuran El Alamein Pertama, pesawat pengebom Stuka Jerman di Front Timur musim dingin 1943–1944, pasukan AL Amerika Serikat di Teluk Lingayen, Wilhelm Keitel menandatangani Instrumen Penyerahan Diri Jerman, tentara Soviet pada Pertempuran StalingradTanggal1 September 1939 (1939-09-01) – 2 September 1945 (1945-9-2) (6 tahun, 1 har...

Lupburg

Lupburg Lambang kebesaranLetak Lupburg di Neumarkt in der Oberpfalz NegaraJermanNegara bagianBayernWilayahOberpfalzKreisNeumarkt in der OberpfalzSubdivisions2 OrtsteilePemerintahan • MayorWillibald KeßlerLuas • Total30,68 km2 (1,185 sq mi)Ketinggian532 m (1,745 ft)Populasi (2013-12-31)[1] • Total2.327 • Kepadatan0,76/km2 (2,0/sq mi)Zona waktuWET/WMPET (UTC+1/+2)Kode pos92331Kode area telepon09492Pelat ...