Rhombic enneacontahedron
Type	zonohedron 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-dimensional space, or as the three-dimensional...
Face polygon	rhombus Rhombus In Euclidean geometry, a rhombus or rhomb is a convex quadrilateral whose four sides all have the same length. The rhombus is often called a diamond, after the diamonds suit in playing cards, or a lozenge, though the latter sometimes refers specifically to a rhombus with a 45° angle.Every...
Faces	90 rhombi: (60 wide and 30 narrow)
Edges	180
Vertices	92
Faces per vertex	3, 5, and 6
Symmetry group Symmetry group The symmetry group of an object is the group of all isometries under which it is invariant with composition as the operation...	Ih
Properties	convex, zonohedron 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-dimensional space, or as the three-dimensional...

A rhombic enneacontahedron (plural: rhombic enneacontahedra) is a polyhedron

Polyhedron

In elementary geometry a polyhedron is a geometric solid in three dimensions with flat faces and straight edges...

 composed of 90 rhombic faces; with three, five, or six rhombi meeting at each vertex. It has 60 broad rhombi

Rhombus

In Euclidean geometry, a rhombus or rhomb is a convex quadrilateral whose four sides all have the same length. The rhombus is often called a diamond, after the diamonds suit in playing cards, or a lozenge, though the latter sometimes refers specifically to a rhombus with a 45° angle.Every...

 and 30 slim. The rhombic enneacontahedron is a zonohedron

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-dimensional space, or as the three-dimensional...

 with a superficial resemblance to the rhombic triacontahedron

Rhombic triacontahedron

In geometry, the rhombic triacontahedron is a convex polyhedron with 30 rhombic faces. It is an Archimedean dual solid, or a Catalan solid. It is the polyhedral dual of the icosidodecahedron, and it is a zonohedron....

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The sixty broad rhombic faces in the rhombic enneacontahedron are identical to those in the rhombic dodecahedron

Rhombic dodecahedron

In geometry, the rhombic dodecahedron is a convex polyhedron with 12 rhombic faces. It is an Archimedean dual solid, or a Catalan solid. Its dual is the cuboctahedron.-Properties:...

, with diagonals in a ratio of 1 to the square root of 2. The face angles of these rhombi are approximately 70.53° and 109.47°. The thirty slim rhombic faces have face angles of 41.81° and 138.19°; the diagonals are in ratio of 1 to φ²

PHI

PHI is a three-letter acronym or abbreviation that can refer to:* Packard Humanities Institute* Pepco Holdings Inc.* Post-Polio Health International* Protected Health Information as part of the HIPAA regulations* The Golden ratio...

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The rhombic enneacontahedron is called a rhombic enenicontahedron in Domebook 2.