| More precisely stellated polyhedron faces are formed by interpenetrated stellated polygons. |
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| The faces of the polyhedron appear to consist of two equilateral triangles and six somewhat irregular pentagons. |
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| The fifth regular polyhedron, the dodecahedron, was left over, so Plato proposed rather lamely that the god used it up for decorating the universe. |
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| In the low-calcium orthorhombic pyroxenes, M2 contains magnesium and iron, and the polyhedron takes on a more regular octahedral shape. |
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| Designed as a casing for a technical duct, this mosaic in glass paste is produced on a polyhedron. |
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| These are the distances from the center of the polyhedron to the vertices, edge midpoints, and face centers respectively. |
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| A regular polyhedron is one whose faces are all congruent regular polygons. |
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| A cube is a regular polyhedron because all of its faces are congruent regular polygons. |
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| This stable structure is called a polyhedron or granule due to its form, and more generally, an occlusion body. |
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| The great rhombic triacontahedron is a nonconvex isohedral, isotoxal polyhedron with 30 intersecting rhombic faces. |
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| This is easily seen by examining the construction of the dual polyhedron. |
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| The rhombic enneacontahedron is a polyhedron composed of 90 rhombic faces, with three, five, or six rhombi meeting at each vertex. |
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| The rhombic icosahedron is a polyhedron composed of 20 rhombic faces, of which three, four, or five meet at each vertex. |
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| Next, he presented to the members of the Governing Board a crystal polyhedron, engraved with the acronym of the Organisation, and proposed that this object, symbol of transparency, became the EUROSAI symbol. |
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| A polyhedron is a closed three-dimensional shape whose faces are polygons. |
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| There are only three symmetry groups associated with the Platonic solids rather than five, since the symmetry group of any polyhedron coincides with that of its dual. |
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| For example, if N is the number of faces in a polyhedron, there is no known rule or formula that can tell you how many different nets can be constructed for a polyhedron with N faces. |
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| The proof was provided in the form of a complex spherical development that combined star-shaped isosceles geometry with a rounded shape to produce a fragmental polyhedron. |
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| Recalling a monumental Minimalist sculpture, the resulting white polyhedron is circumnavigable but impenetrable. |
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| Thus, the polyhedron and the convex hull of the set of its vertices coincide, which was to be proved. |
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| Conway has also suggested a system of notation dedicated to describing polyhedra called Conway polyhedron notation. |
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| The rhombic dodecahedron is a convex polyhedron with 12 congruent rhombi as its faces. |
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| In monoclinic pyroxenes, the M2 site is a large irregular polyhedron occupied by the larger calcium and sodium cations which are in eightfold coordination. |
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| A polyhedron consists of a central cation, typically silicon or aluminum in common minerals, surrounded by a regular tetrahedron or octahedron of four or six oxygen atoms, respectively. |
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| In a multi-connected Universe, the physical space is identified to a fundamental polyhedron, the duplicate images of which form the observable universe. |
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| It will be seen below that this semiregular polyhedron is of importance in its relationship to periodic minimal surfaces serving as a conceptual reference. |
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| These angles formed between lines of the same faces referred to as dihedral angle discrepancies means that, according to Schein and Gayed, the shape is no longer a polyhedron. |
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