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# Topic: Biaugmented pentagonal prism

###### In the News (Wed 19 Jun 13)

 [No title] pentagonal prism +------------------------------------------------------------ The pentagonal prism is a polyhedron with 10 vertices and 7 faces. biaugmented triangular prism +------------------------------------------------------------ The biaugmented triangular prism is a polyhedron with 8 vertices and 11 faces. biaugmented pentagonal prism +------------------------------------------------------------ The biaugmented pentagonal prism is a polyhedron with 12 vertices and 13 faces. www.math.harvard.edu /~knill/sofia/data/polyhedra.txt   (2272 words)

 Johnson solid - Wikipedia, the free encyclopedia In geometry, a Johnson solid is a convex polyhedron, each face of which is a regular polygon, which is not a Platonic solid, Archimedean solid, prism, or antiprism. In this nomenclature, an octahedron would be a square bipyramid, a cuboctahedron would be a triangular gyrobicupola, and an icosidodecahedron would be a pentagonal gyrobirotunda. An icosahedron would be a gyroelongated pentagonal bipyramid. en.wikipedia.org /wiki/Johnson_solid   (682 words)

 The Johnson Solids J13, the pentagonal dipyramid, J28, the square orthobicupola, J29, the square gyrobicupola, J31, the pentagonal gyrobicupola, J30, the pentagonal orthobicupola, J32, the pentagonal orthocupolarotunda, and J33, the pentagonal gyrocupolarotunda. The two component pieces of the pentagonal dipyramid both came from the icosahedron, the two component pieces of the square orthobicupola and the square gyrobicupola both came from the small rhombicuboctahedron, and the two component pieces of the pentagonal orthobicupola and the pentagonal gyrobicupola both came from the small rhombicosidodecahedron. J24, the gyroelongated pentagonal cupola and J25, the gyroelongated pentagonal rotunda. www.quadibloc.com /math/acs03.htm   (2007 words)

 Splash - Scienza - Matematica - Solidi di Johnson The Johnson solids are the convex polyhedra having regular faces and equal edge lengths (with the exception of the completely regular Platonic solids, the "semiregular" Archimedean solids, and the two infinite families of prisms and antiprisms). There are 28 simple (i.e., cannot be dissected into two other regular-faced polyhedra by a plane) regular-faced polyhedra in addition to the prisms and antiprisms (Zalgaller 1969), and Johnson (1966) proposed and Zalgaller (1969) proved that there exist exactly 92 Johnson solids in all. There is a near-Johnson solid which can be constructed by inscribing regular nonagons inside the eight triangular faces of a regular octahedron, then joining the free edges to the 24 triangles and finally the remaining edges of the triangles to six squares, with one square for each octahedral vertex. www.splash.it /scienza/matematica/solidi_di_johnson/index.htm   (347 words)

 Johnson solid These polyhedra are what are left once you take away the Platonic solids, Archimedean solids, prisms and antiprisms. An octahedron would be a square bipyramid, a cuboctahedron would be a triangular gyrobicupola, and an icosidodecahedron would be a pentagonal gyrobirotunda. Augmented means that a pyramid has been joined to a face of the solid in question. www.ebroadcast.com.au /lookup/encyclopedia/jo/Johnson_solid.html   (450 words)

 Johnson Polyhedra For example, a biaugmented triangular prism is denoted Y4P3Y4 (a square pyramid built onto two adjacent faces of a triangular prism). Thus, a triaugmented triangular prism is denoted (Y4)3P3 (a square pyramid built onto all three faces of a triangular prism). A diminished icosahedron is a gyroelongated pentagonal pyramid www.uwgb.edu /dutchs/symmetry/johnsonp.htm   (480 words)

 Pentagonal Prism In geometry, the augmented pentagonal prism is one of the Johnson solids (J.. I managed to fit all the yellow nets for the pentagonal prism, pentagonal antiprism, and pentagrammic prism all on one page. A pentagonal prism for use in a viewfinder of a single lens reflex camera makes use of total reflection of viewfinder light flux at effective... www.cylinderbank.info /info/Pentagonal-Prism   (302 words)

 triangular prism eight sides Convex Deltahedra --- List Unusual Coordination are surrounded by six sulfur atoms at the vertices of a triangular prism. This The three-dimensional representative is the triangular prism or gossetoicosahedron. Multidimensional Glossary An altered pentagonal prism is a pentagrammatic For example, an alternated regular polygon of 2 p sides It has eight vertices, 24 edges, and 32 triangular faces as its non-trivial elements besides mucormycotic.host5.usaken.com /1149715280.html   (1480 words)

 :::► Dictionary of Meaning www.mauspfeil.net ◄::: Property_List=convex }} In geometry, the '''biaugmented pentagonal prism''' is one of the Johnson solids (''J'' As the name suggests, it can be constructed by doubly augmenting a pentagonal prism (geometry) prism by attaching square pyramids (''J'' There you will find a list of all editors and the possibility to edit the original text of the article Biaugmented pentagonal prism. www.mauspfeil.net /Biaugmented_pentagonal_prism.html   (148 words)

 Pedagoguery Software: Poly’s Polyhedra Although all of the Archimedean solids have this property, so does the elongated square gyrobicupola (Johnson solid which is not an Archimedean solid. After the Platonic and Archimedean solids, the only remaining convex uniform polyhedra with regular faces are prisms and anti-prisms. Dipyramids are duals of prisms; deltohedra are duals of anti-prisms. www.peda.com /poly/poly.html   (549 words)

 Exercise: Johnson Solids' Symmetries Exercise: Look through the entire set of Johnson solids and determine which of them have more than one axis of symmetry. Further: The last one on this list (J91) has the symmetry of a 2-gonal prism: three orthogonal 2-fold axes and three planes of symmetry each containing two axes. The one before it (J90) has the symmetry of a 2-gonal antiprism: three 2-fold axes and three planes of symmetry of which two pass halfway between axes. www.georgehart.com /virtual-polyhedra/ex-j2.html   (100 words)

 Untitled Document Just like their dual Archimedean partners there are two chiral Catalan solids: the pentagonal icositetrahedron and the pentagonal hexecontahedron. The Johnson solids are convex polyhedra having regular faces and uniform edges which are not Platonic solids, Archimedean solids, prisms, or antiprisms. Named after Normal W. Johnson who was the first to catalogue them in 1966. www.artangent.com /sygma.htm   (488 words)

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