Rhombic icosahedron

Rhombic icosahedron

A rhombic icosahedron (or rhombic icosacontahedron) is a polyhedron shaped like an oblate sphere.

It is composed of 20 rhombic faces, where three, four, or five of which meet at each vertex. It has 10 faces on the polar axis with 10 rhombi following the equator.

Even though all the faces are congruent, the rhombic icosahedron is not face-transitive, since one may distinguish whether a particular face is near the equator or a pole by examining the types of vertices surrounding that face.

The rhombic icosacontahedron is a zonohedron.

It has D5d symmetry.

External links

* [http://mathworld.wolfram.com/RhombicIcosahedron.html Mathworld]
* http://www.georgehart.com/virtual-polyhedra/zonohedra-info.html
** VRML Model [http://www.georgehart.com/virtual-polyhedra/vrml/rhombic_icosahedron.wrl]


Wikimedia Foundation. 2010.

Игры ⚽ Поможем решить контрольную работу

Look at other dictionaries:

  • Truncated great icosahedron — Type Uniform star polyhedron Elements F = 32, E = 90 V = 60 (χ = 2) Faces by sides 12{5/2}+20{6} Wythoff symb …   Wikipedia

  • Compound of great icosahedron and great stellated dodecahedron — 15th stellation of icosidodecahedron Type stellation and compound Convex hull Rhombic triacontahedron …   Wikipedia

  • Medial rhombic triacontahedron — Type Star polyhedron Elements F = 30, E = 60 V = 24 (χ = −6) Symmetry group Ih, [5,3], *532 …   Wikipedia

  • Compound of dodecahedron and icosahedron — First stellation of icosidodecahedron Type Dual compound …   Wikipedia

  • Truncated icosahedron — The truncated icosahedron is an Archimedean solid. It comprises 12 regular pentagonal faces, 20 regular hexagonal faces, 60 vertices and 90 edges. Construction This polyhedron can be constructed from an icosahedron with the 12 vertices truncated… …   Wikipedia

  • Truncated rhombic triacontahedron — The truncated rhombic triacontahedron is a convex polyhedron constructed from the rhombic triacontahedron by truncating the twelve vertices where five faces meet at their acute corners.The 12 vertices can be truncated such that all edges are… …   Wikipedia

  • Zonohedron — A zonohedron is a convex polyhedron where every face is a polygon with point symmetry or, equivalently, symmetry under rotations through 180°. Any zonohedron may equivalently be described as the Minkowski sum of a set of line segments in three… …   Wikipedia

  • List of mathematics articles (R) — NOTOC R R. A. Fisher Lectureship Rabdology Rabin automaton Rabin signature algorithm Rabinovich Fabrikant equations Rabinowitsch trick Racah polynomials Racah W coefficient Racetrack (game) Racks and quandles Radar chart Rademacher complexity… …   Wikipedia

  • Zonoèdre — Un zonoèdre est un polyèdre convexe où chaque face est un polygone avec un centre de symétrie ou, de manière équivalente, une symétrie avec des rotations à 180°. Tout zonoèdre peut être décrit de manière équivalente comme la somme de Minkowski d… …   Wikipédia en Français

  • Dodecahedron — Regular Dodecahedron (Click here for rotating model) Type Platonic solid Elements F = 12, E = 30 V = 20 (χ = 2) Faces by sides 12{5} …   Wikipedia

Share the article and excerpts

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