Augmented truncated cube

Augmented truncated cube

Type	Johnson $J 65 - J 66 - J 67$
Faces	3x4 triangles 1+4 squares 1+4 octagons
Edges	48
Vertices	28
Vertex configuration	$2.4+8(3.8 2) 4(3.4 3) 8(3.4.3.8)$
Symmetry group	$C 4v$
Dual polyhedron	-
Properties	convex
Net

In geometry, the augmented truncated cube is one of the Johnson solids ( $J 66$ ). As its name suggests, it is created by attaching a square cupola ( $J 4$ ) onto one octagonal face of a truncated cube.

A Johnson solid is one of 92 strictly convex polyhedra that is composed of regular polygon faces but are not uniform polyhedra (that is, they are not Platonic solids, Archimedean solids, prisms, or antiprisms). They were named by Norman Johnson, who first listed these polyhedra in 1966.^[1]

References

Norman W. Johnson, "Convex Solids with Regular Faces", Canadian Journal of Mathematics, 18, 1966, pages 169–200. Contains the original enumeration of the 92 solids and the conjecture that there are no others.
Victor A. Zalgaller (1969). Convex Polyhedra with Regular Faces. Consultants Bureau. No ISBN. The first proof that there are only 92 Johnson solids.

External links

Weisstein, Eric W., "Augmented truncated cube" ("Johnson solid") at MathWorld.

v t e Johnson solids
Pyramids, cupolae and rotundae	square pyramid pentagonal pyramid triangular cupola square cupola pentagonal cupola pentagonal rotunda
Modified pyramids	elongated triangular pyramid elongated square pyramid elongated pentagonal pyramid gyroelongated square pyramid gyroelongated pentagonal pyramid triangular bipyramid pentagonal bipyramid elongated triangular bipyramid elongated square bipyramid elongated pentagonal bipyramid gyroelongated square bipyramid
Modified cupolae and rotundae	elongated triangular cupola elongated square cupola elongated pentagonal cupola elongated pentagonal rotunda gyroelongated triangular cupola gyroelongated square cupola gyroelongated pentagonal cupola gyroelongated pentagonal rotunda gyrobifastigium triangular orthobicupola square orthobicupola square gyrobicupola pentagonal orthobicupola pentagonal gyrobicupola pentagonal orthocupolarotunda pentagonal gyrocupolarotunda pentagonal orthobirotunda elongated triangular orthobicupola elongated triangular gyrobicupola elongated square gyrobicupola elongated pentagonal orthobicupola elongated pentagonal gyrobicupola elongated pentagonal orthocupolarotunda elongated pentagonal gyrocupolarotunda elongated pentagonal orthobirotunda elongated pentagonal gyrobirotunda gyroelongated triangular bicupola gyroelongated square bicupola gyroelongated pentagonal bicupola gyroelongated pentagonal cupolarotunda gyroelongated pentagonal birotunda
Augmented prisms	augmented triangular prism biaugmented triangular prism triaugmented triangular prism augmented pentagonal prism biaugmented pentagonal prism augmented hexagonal prism parabiaugmented hexagonal prism metabiaugmented hexagonal prism triaugmented hexagonal prism
Modified Platonic solids	augmented dodecahedron parabiaugmented dodecahedron metabiaugmented dodecahedron triaugmented dodecahedron metabidiminished icosahedron tridiminished icosahedron augmented tridiminished icosahedron
Modified Archimedean solids	augmented truncated tetrahedron augmented truncated cube biaugmented truncated cube augmented truncated dodecahedron parabiaugmented truncated dodecahedron metabiaugmented truncated dodecahedron triaugmented truncated dodecahedron gyrate rhombicosidodecahedron parabigyrate rhombicosidodecahedron metabigyrate rhombicosidodecahedron trigyrate rhombicosidodecahedron diminished rhombicosidodecahedron paragyrate diminished rhombicosidodecahedron metagyrate diminished rhombicosidodecahedron bigyrate diminished rhombicosidodecahedron parabidiminished rhombicosidodecahedron metabidiminished rhombicosidodecahedron gyrate bidiminished rhombicosidodecahedron tridiminished rhombicosidodecahedron
Other elementary solids	snub disphenoid snub square antiprism sphenocorona augmented sphenocorona sphenomegacorona hebesphenomegacorona disphenocingulum bilunabirotunda triangular hebesphenorotunda
(See also List of Johnson solids, a sortable table)

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

^ Johnson, Norman W. (1966), "Convex polyhedra with regular faces", Canadian Journal of Mathematics, 18: 169–200, doi:10.4153/cjm-1966-021-8, MR 0185507, Zbl 0132.14603.

Read other articles:

Ari Yulianto

Ari Yulianto Komandan Satuan Siber Tentara Nasional Indonesia ke-5PetahanaMulai menjabat 18 Desember 2023 PendahuluAgus RustandiPenggantiPetahanaAsops Kaskogabwilhan III ke-3Masa jabatan27 Juni 2022 – 18 Desember 2023 PendahuluAditya Nindra PashaPenggantiAulia Dwi NasrullahDanmentar AkmilMasa jabatan2018–2020 PendahuluBambang TrisnohadiPenggantiWindiyatno Informasi pribadiLahir4 Juli 1972 (umur 51)IndonesiaKebangsaanIndonesiaAlma materAkademi Militer (1994)Karier...

Charlie Kaufman

Charles Stuart Kaufman (lahir 1 November 1958) adalah seorang penulis skenario ternama dari Amerika Serikat. Film-filmnya mempunyai kecenderungan skenario yang unik, tidak bisa ditebak, biasanya berkarakter-ganda (seseorang berpikir tentang dirinya sendiri, melihat dirinya sendiri di kehidupan lain), dan berimaginasi liar. Awal kariernya dimulai dengan menulis skenario di televisi. Dia menjadi perhatian ketika skenarionya untuk Being John Malkovich, mendapat nominasi Penghargaan Oscar dan BAF...

2000 United States Senate election in Delaware

2000 United States Senate election in Delaware ← 1994 November 7, 2000 2006 → Nominee Tom Carper Bill Roth Party Democratic Republican Popular vote 181,566 142,891 Percentage 55.53% 43.70% County results Carper: 60–70%Roth: 50–60% U.S. senator before election Bill Roth Republican Elected U.S. Senator Tom Carper Democratic Elections in Delaware Federal government Presidential elections 1788-89 17...

La Cité (Lausanne)

La Cité around 1900. La Cité is a district (historical centre) of the city of Lausanne, in Switzerland. The Cathedral, the Museum of Contemporary Design and Applied Arts, the Lausanne Museum of History, the Ancienne académie (today Gymnase de la cité), the Grand Council of Vaud (regional parliament), and the Château Saint-Maire are situated in this district. It is served by the Lausanne Metro Line 2, from Riponne and Bessières stations. Gallery The Cathedral of Lausanne The Museum of C...

The Puzzle Place

Children's television series The Puzzle PlaceCreated byCecily TruettSuzanne SingerRob StorkEllis WeinerDavid YazbekStarringAlice DinneanCarmen OsbahrJim MartinNoel MacNealEric JacobsonPeter LinzMatt VogelDrew MasseyAlison MorkStephanie D'AbruzzoTerri HardinAllan TrautmanTheme music composerSteve HorelickJanet WeirComposersSteve HorelickJanet WeirCountry of originUnited StatesOriginal languageEnglishNo. of seasons3No. of episodes75ProductionExecutive producersCecily TruettLarry LancitStephen K...

Dolog Huluan, Dolog Masagal, Simalungun

Dolog HuluanNagoriKantor Pangulu Dolog HuluanNegara IndonesiaProvinsiSumatera UtaraKabupatenSimalungunKecamatanDolog MasagalKode pos21162Luas... km²Jumlah penduduk... jiwaKepadatan... jiwa/km² Dolog Huluan merupakan salah satu nagori yang ada di kecamatan Dolog Masagal, kabupaten Simalungun, provinsi Sumatera Utara, Indonesia. Pemerintahan Nagori Dolog Huluan terdiri dari Huta (dusun) Dolog Huluan, Kampung Baru, Mariah Dolog, Silau Marihat, Tambun Marisi, dan huta lainnya. Galeri Gerej...

Short Silver Streak

Silver Streak Role Experimental all-metal biplaneType of aircraft National origin United Kingdom Manufacturer Short Brothers First flight August 20, 1920 Number built 1 The Short Silver Streak was the first British all-metal aircraft.[1] It was designed and built by Short Brothers at Rochester, Kent, England.[1] Although Flight magazine claimed that it was the first instance of stressed skin construction in the world,[2] it was preceded by a number of Dornier designs,...

Richie Scheinblum

American baseball player (1942–2021) Baseball player Richie ScheinblumOutfielderBorn: (1942-11-05)November 5, 1942New York City, New York, U.S.Died: May 10, 2021(2021-05-10) (aged 78)Palm Harbor, Florida, U.S.Batted: SwitchThrew: RightProfessional debutMLB: September 1, 1965, for the Cleveland IndiansNPB: April 5, 1975, for the Hiroshima Toyo CarpLast appearanceMLB: September 21, 1974, for the St. Louis CardinalsNPB: October 21, 1976,&...

Michael Williamson (photographer)

American photojournalist For other people named Michael Williamson, see Michael Williamson (disambiguation). This biography of a living person needs additional citations for verification. Please help by adding reliable sources. Contentious material about living persons that is unsourced or poorly sourced must be removed immediately from the article and its talk page, especially if potentially libelous.Find sources: Michael Williamson photographer – news · newspaper...

Rolls-Royce Trent XWB

Artikel ini perlu diwikifikasi agar memenuhi standar kualitas Wikipedia. Anda dapat memberikan bantuan berupa penambahan pranala dalam, atau dengan merapikan tata letak dari artikel ini. Untuk keterangan lebih lanjut, klik [tampil] di bagian kanan. Mengganti markah HTML dengan markah wiki bila dimungkinkan. Tambahkan pranala wiki. Bila dirasa perlu, buatlah pautan ke artikel wiki lainnya dengan cara menambahkan [[ dan ]] pada kata yang bersangkutan (lihat WP:LINK untuk keterangan lebih lanjut...

PWS-11

PWS-11 PWS-11SM Role Trainer aircraftType of aircraft Manufacturer PWS First flight 1929 Status prototype Number built 2 The PWS-11 was a Polish aerobatic and trainer aircraft, developed in 1928-1929 by PWS (Podlaska Wytwórnia Samolotów - Podlasie Aircraft Factory), which remained a prototype. Design and development PWS-11bis In parallel with development of a fighter aircraft, the PWS-10, the design team of Aleksander Grzędzielewski and Augustyn Bobek-Zdaniewski from the PWS factory, star...

Associazione Calcio Fiorentina 1954-1955

Voce principale: ACF Fiorentina. AC FiorentinaStagione 1954-1955Sport calcio Squadra Fiorentina Allenatore Fulvio Bernardini All. in seconda Virgilio Felice Levratto Presidente Enrico Befani Serie A5º Maggiori presenzeCampionato: Segato (32) Miglior marcatoreCampionato: Virgili (15) StadioComunale 1953-1954 1955-1956 Si invita a seguire il modello di voce Questa voce raccoglie le informazioni riguardanti l'Associazione Calcio Fiorentina nelle competizioni ufficiali della stagione 1...

Hussein ben Ali (roi du Hedjaz)

Pour les articles homonymes, voir Ben Ali (homonymie) et Hussein. Hussein ben Aliٱلْحُسَيْن بِن عَلِي ٱلْهَاشِمِيHussein ben Ali, roi du Hedjaz, le 10 juin 1916FonctionsCalife3 mars 1924 - 4 juin 1931Abdülmecit IIRoi du Hedjazoctobre 1916 - 3 octobre 1924Ali ben HusseinChérif de La Mecque1er novembre 1908 - 3 octobre 1924Abd al-Ilah Pasha (en)Ali ben HusseinBiographieNaissance Vers 1853IstanbulDécès 4 juin 1931AmmanSépulture Mosquée Al-AqsaNom dans la ...

2016年夏季奥林匹克运动会以色列代表团

2016年夏季奥林匹克运动会以色列代表團以色列国旗IOC編碼ISRNOC以色列奧林匹克委員會網站www.olympicsil.co.il（英文）（希伯来文）2016年夏季奥林匹克运动会（里約熱內盧）2016年8月5日至8月21日運動員47參賽項目15个大项旗手开幕式：Neta Rivkin（体操）[1]闭幕式：Alona Koshevatskiy（体操）[2]獎牌榜排名第77 金牌銀牌銅牌總計 0 0 2 2 历届奥林匹克运动会参赛记录（总结�...

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）&#...

Paus Yohanes X dari Aleksandria

PausYohanes X dari AleksandriaPaus Aleksandria ke-85 & Patriarkh Tahta St. MarkusAwal masa jabatan7 Mei 1363Masa jabatan berakhir13 Juli 1369PendahuluMarkus IVPenerusGabriel IVInformasi pribadiLahirDamaskus, SuriahWafat13 Juli 1369MesirMakamGereja GantungKewarganegaraanMesirDenominasiKristen Ortodoks KoptikKediamanGereja Santo Merkurius di Koptik Kairo Paus Yohanes X dari Aleksandria adalah Paus Aleksandria ke-85 & Patriarkh Tahta St. Markus. Ia berasal dari Damaskus, Suriah. Referens...

Bit gula

Bit gulaUmbi bit, ilustrasi akar, daun dan susunan bungaSpesiesBeta vulgarisUpaspesiesBeta vulgaris subsp. vulgarisKelompok budidayaAltissima GroupTanah asalSilesia, pertengahan abad ke-18 Bit gula adalah sebuah tumbuhan yang akarnya mengandung kadar sukrosa yang tinggi dan ditumbuhkan secara komersial untuk produksi gula yang disebut gula bit. Tumbuhan tersebut dikenal sebagai kelompok tumbuhan Altissima dari bit (Beta vulgaris).[1] Bersama dengan tumbuhan bit lainnya, seperti bit me...

VIA, the Way of the People

Political party in France Parts of this article (those related to elected officials, events in recent years) need to be updated. Please help update this article to reflect recent events or newly available information. (March 2021) VIA | The Way of the People VIA | la voie du peupleFounded27 February 2001Split fromUnion for French DemocracyHeadquartersParisIdeologyChristian democracySocial conservatismChristian rightSoft EuroscepticismPolitical positionRight-wing[1]National a...

Gujarati literature

Literature in the Gujarati language of India This article has multiple issues. Please help improve it or discuss these issues on the talk page. (Learn how and when to remove these template messages) This article contains weasel words: vague phrasing that often accompanies biased or unverifiable information. Such statements should be clarified or removed. (July 2014) This article needs additional citations for verification. Please help improve this article by adding citations to reliable sourc...

Arcade game

Coin-operated entertainment machine This article is about all types of amusement arcade games. For video games, see Arcade video game. Not to be confused with Casino game. An amusement arcade featuring several different types of arcade games, located in Chiba Prefecture, Japan An arcade game or coin-op game is a coin-operated entertainment machine typically installed in public businesses such as restaurants, bars and amusement arcades. Most arcade games are presented as primarily games of ski...