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Pentagonal rotunda information


Pentagonal rotunda
TypeJohnson
J5J6J7
Faces10 triangles
1+5 pentagons
1 decagon
Edges35
Vertices20
Vertex configuration2.5(3.5.3.5)
10(3.5.10)
Symmetry groupC5v
Rotation groupC5, [5]+, (55)
Dual polyhedron-
Propertiesconvex
Net

In geometry, the pentagonal rotunda is one of the Johnson solids (J6). It can be seen as half of an icosidodecahedron, or as half of a pentagonal orthobirotunda. It has a total of 17 faces.

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]

  1. ^ 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.

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Pentagonal rotunda

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geometry, the pentagonal rotunda is one of the Johnson solids (J6). It can be seen as half of an icosidodecahedron, or as half of a pentagonal orthobirotunda...

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Gyroelongated pentagonal rotunda

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its base. It can also be seen as a gyroelongated pentagonal birotunda (J48) with one pentagonal rotunda removed. A Johnson solid is one of 92 strictly convex...

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Johnson solid

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and rotundas. The triangular gyrobicupola is an Archimedean solid (in this case the cuboctahedron), so it is not a Johnson solid. The pentagonal gyrobirotunda...

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Elongated pentagonal rotunda

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its base. It can also be seen as an elongated pentagonal orthobirotunda (J42) with one pentagonal rotunda removed. A Johnson solid is one of 92 strictly...

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Elongated pentagonal gyrocupolarotunda

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either the pentagonal cupola (J5) or the pentagonal rotunda (J6) through 36 degrees before inserting the prism yields an elongated pentagonal orthocupolarotunda...

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Pentagonal gyrocupolarotunda

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orthocupolarotunda (J32), it can be constructed by joining a pentagonal cupola (J5) and a pentagonal rotunda (J6) along their decagonal bases. The difference is...

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Pentagonal orthobirotunda

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In geometry, the pentagonal orthobirotunda is one of the Johnson solids (J34). It can be constructed by joining two pentagonal rotundae (J6) along their...

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Pentagonal orthocupolarotunda

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geometry, the pentagonal orthocupolarotunda is one of the Johnson solids (J32). As the name suggests, it can be constructed by joining a pentagonal cupola (J5)...

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Icosidodecahedron

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to form a pair of pentagonal rotundae, which belong among the Johnson solids. The icosidodecahedron can be considered a pentagonal gyrobirotunda, as a...

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List of mathematical shapes

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orthobicupola Pentagonal orthobirotunda Pentagonal orthocupolarotunda Pentagonal pyramid Pentagonal rotunda Snub disphenoid Snub square antiprism Sphenocorona...

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J6

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System Joint Staff J-6, a directorate of the US Department of Defense pentagonal rotunda, a Johnson solid in geometry Samsung Galaxy J6, an Android mobile...

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Rotunda

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Look up rotunda in Wiktionary, the free dictionary. Rotunda or The Rotunda may refer to: Rotunda (architecture), any building with a circular ground plan...

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Triangular hebesphenorotunda

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another equilateral triangle, which bears structural resemblance to the pentagonal rotunda. The triangular hebesphenorotunda is the only Johnson solid with faces...

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Elongated pentagonal orthocupolarotunda

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elongated pentagonal orthocupolarotunda is one of the Johnson solids (J40). As the name suggests, it can be constructed by elongating a pentagonal orthocupolarotunda...

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J25

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J25 may refer to: Gyroelongated pentagonal rotunda, a Johnson solid (J25) Honda J25, an automobile engine Jennings J-25, a pistol LNER Class J25, a British...

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J21

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Indian Navy Bronchiolitis County Route J21 (California) Elongated pentagonal rotunda, a Johnson solid (J21) This disambiguation page lists articles associated...

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List of small polyhedra by vertex count

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bipyramid 6 Pentagonal pyramid Octahedron (regular) triangular antiprism square bipyramid Triangular prism wedge 7 Hexagonal pyramid Pentagonal bipyramid...

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List of Johnson solids

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solids are the square pyramid, pentagonal pyramid, triangular cupola, square cupola, pentagonal cupola, and pentagonal rotunda. These solids may be applied...

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Birotunda

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and distorted equilateral pentagons. Gyroelongated pentagonal birotunda Elongated pentagonal orthobirotunda Elongated pentagonal gyrobirotunda Norman W....

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Heptadecahedron

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heptadecahedron that tiles space in the Voronoi diagram of the Laves graph. The pentagonal rotunda (J6) The triaugmented hexagonal prism (J57) The augmented sphenocorona...

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Panopticon

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effectively compelled to self-regulation. The architecture consists of a rotunda with an inspection house at its centre. From the centre, the manager or...

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Susan Ford Bales

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President Ford's casket lay in state on the Lincoln Catafalque in the Capitol Rotunda and during the public repose at the Gerald R. Ford Presidential Museum...

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QAnon

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"blow up a satanic temple monument" in the Springfield, Illinois, Capitol rotunda to "make Americans aware of Pizzagate and the New World Order, who were...

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IG Farben Building

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Army Faction, i.e., the Baader-Meinhof Group). Two bombs went off in a rotunda in the rear entrance of the IG Farben building, and a third exploded in...

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San Francisco International Airport

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completion. International traffic was routed through Pier G, and a new Rotunda G was completed in 1974 to expand Pier G. Terminal 3 was added as the North...

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Strom Thurmond

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Edgefield, South Carolina. He was 100 years old. After lying in state in the rotunda of the South Carolina State House in Columbia, his body was carried on...

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