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  2. Snub disphenoid - Wikipedia

    en.wikipedia.org/wiki/Snub_disphenoid

    In geometry, the snub disphenoid is a convex polyhedron with 12 equilateral triangles as its faces. It is an example of deltahedron and Johnson solid. It can be constructed in different approaches. This shape is also called Siamese dodecahedron, triangular dodecahedron, trigonal dodecahedron, or dodecadeltahedron.

  3. Dodecahedral prism - Wikipedia

    en.wikipedia.org/wiki/Dodecahedral_prism

    The two dodecahedra project onto the decagonal faces of the envelope. The dodecahedron-first orthographic projection of the dodecahedral prism into 3D space has a dodecahedral envelope. The two dodecahedral cells project onto the entire volume of this envelope, while the 12 pentagonal prism cells project onto its 12 pentagonal faces.

  4. Dodecahedral bipyramid - Wikipedia

    en.wikipedia.org/wiki/Dodecahedral_bipyramid

    Each face of a central dodecahedron is attached with two pentagonal pyramids, creating 24 pentagonal pyramidal cells, 72 isosceles triangular faces, 70 edges, and 22 vertices. A dodecahedral bipyramid can be seen as two dodecahedral pyramids augmented together at their base. It is the dual of a icosahedral prism.

  5. Triangular bipyramid - Wikipedia

    en.wikipedia.org/wiki/Triangular_bipyramid

    If these tetrahedra are regular, all faces of a triangular bipyramid are equilateral. It is an example of a deltahedron, composite polyhedron, and Johnson solid. Many polyhedra are related to the triangular bipyramid, such as similar shapes derived from different approaches and the triangular prism as its dual polyhedron.

  6. Triaugmented triangular prism - Wikipedia

    en.wikipedia.org/wiki/Triaugmented_triangular_prism

    The dual polyhedron of the triaugmented triangular prism has a face for each vertex of the triaugmented triangular prism, and a vertex for each face. It is an enneahedron (that is, a nine-sided polyhedron) [ 16 ] that can be realized with three non-adjacent square faces, and six more faces that are congruent irregular pentagons . [ 17 ]

  7. Triaugmented dodecahedron - Wikipedia

    en.wikipedia.org/wiki/Triaugmented_dodecahedron

    It can be seen as a dodecahedron with three pentagonal pyramids (J 2) attached to nonadjacent faces. When pyramids are attached to a dodecahedron in other ways, they may result in an augmented dodecahedron (J 58), a parabiaugmented dodecahedron (J 59), a metabiaugmented dodecahedron (J 60), or even a pentakis dodecahedron if the faces are made ...

  8. Rhombicosidodecahedron - Wikipedia

    en.wikipedia.org/wiki/Rhombicosidodecahedron

    The rhombicosidodecahedron shares its vertex arrangement with three nonconvex uniform polyhedra: the small stellated truncated dodecahedron, the small dodecicosidodecahedron (having the triangular and pentagonal faces in common), and the small rhombidodecahedron (having the square faces in common).

  9. Polyhedron - Wikipedia

    en.wikipedia.org/wiki/Polyhedron

    For example, triaugmented triangular prism is a composite polyhedron since it can be constructed by attaching three equilateral square pyramids onto the square faces of a triangular prism; the square pyramids and the triangular prism are elementary. [25] A canonical polyhedron

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