Pentagonal gyrobicupola

Pentagonal gyrobicupola

Infobox_Polyhedron


Polyhedron_Type=Johnson
"J"30 - J31 - J32
Face_List=10 triangles
10 squares
2 pentagons
Edge_Count=40
Vertex_Count=20
Symmetry_Group=D5d
Vertex_List=10(3.4.3.4)
10(3.4.5.4)
Dual=-
Property_List=convex

In geometry, the pentagonal gyrobicupola is one of the Johnson solids ("J"31). Like the pentagonal orthobicupola ("J"30), it can be obtained by joining two pentagonal cupolae ("J"5) along their bases. The difference is that in this solid, the two halves are rotated 36 degrees with respect to one another.

The "pentagonal gyrobicupola" is the third in an infinite set of gyrobicupolae.

The pentagonal gyrobicupola is what you get when you take a rhombicosidodecahedron, chop out the middle parabidiminished rhombicosidodecahedron ("J"80), and paste the two opposing cupolae back together.

The 92 Johnson solids were named and described by Norman Johnson in 1966.

External links

* [http://mathworld.wolfram.com/JohnsonSolid.html Johnson Solid -- from MathWorld]


Wikimedia Foundation. 2010.

Игры ⚽ Нужен реферат?

Look at other dictionaries:

  • Elongated pentagonal gyrobicupola — Infobox Polyhedron Polyhedron Type=Johnson J 38 J39 J40 Face List=10 triangles 2.10 squares 2 pentagons Edge Count=60 Vertex Count=30 Symmetry Group= D 5d Vertex List=20(3.43) 10(3.4.5.4) Dual= Property List=convexIn geometry, the elongated… …   Wikipedia

  • Pentagonal orthobicupola — Infobox Polyhedron Polyhedron Type=Johnson J 29 J30 J31 Face List=10 triangles 10 squares 2 pentagons Edge Count=40 Vertex Count=20 Symmetry Group=D5h Vertex List=10(32.42) 10(3.4.5.4) Dual= Property List=convexIn geometry, the pentagonal… …   Wikipedia

  • Girobicúpula pentagonal — Imágen del sólido Tipo Johnson J30 J31 J32 …   Wikipedia Español

  • Girobicúpula pentagonal elongada — Imágen del sólido Tipo Johnson J38 J39 J40 …   Wikipedia Español

  • Elongated pentagonal orthobicupola — Infobox Polyhedron Polyhedron Type=Johnson J 37 J38 J39 Face List=10 triangles 2.5+10 squares 2 pentagons Edge Count=60 Vertex Count=30 Symmetry Group= D 5h Vertex List=20(3.43) 10(3.4.5.4) Dual= Property List=convexIn geometry, the elongated… …   Wikipedia

  • Johnson solid — The elongated square gyrobicupola (J37), a Johnson solid …   Wikipedia

  • Bicupola (geometry) — Set of bicupolae Faces 2n triangles, 2n squares 2 n agon Edges 8n Vertices 4n Symmetry group Ortho …   Wikipedia

  • Sólido de Johnson — La girobicúpula cuadrada elongada (J37), un sólido de Johnson …   Wikipedia Español

  • Solide de Johnson — La gyrobicoupole octogonale allongée (J37), un solide de Johnson …   Wikipédia en Français

  • Polyèdre de Johnson — Solide de Johnson La gyrobicoupole octogonale allongée (J37), un solide de Johnson …   Wikipédia en Français

Share the article and excerpts

Direct link
… Do a right-click on the link above
and select “Copy Link”