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 also has alternative names called Siamese dodecahedron, triangular dodecahedron, trigonal dodecahedron, or dodecadeltahedron; these names mean the 12-sided polyhedron.
The applications of snub disphenoid can be visualized as an atom cluster surrounding a central atom, that is the dodecahedral molecular geometry. Its vertices may be placed in a sphere and can also be used as a minimum possible Lennard-Jones potential among all eight-sphere clusters. The dual polyhedron of the snub disphenoid is the elongated gyrobifastigium.
In geometry, the snubdisphenoid is a convex polyhedron with 12 equilateral triangles as its faces. It is an example of deltahedron and Johnson solid...
In geometry, a disphenoid (from Greek sphenoeides 'wedgelike') is a tetrahedron whose four faces are congruent acute-angled triangles. It can also be described...
three polyhedra with this property are the pentagonal dipyramid, the snubdisphenoid, and an irregular polyhedron with 12 vertices and 20 triangular faces...
ligands are arranged around a central atom defining the vertices of a snubdisphenoid (also known as a trigonal dodecahedron). This shape has D2d symmetry...
The snub antiprisms can be constructed as an alternation of a truncated antiprism. The gyrobianticupolae are another construction for the snub antiprisms...
triangular faces, including the snubdisphenoid as a deltahedron with all equilateral triangles. However the dual of the snubdisphenoid is not space-filling because...
with snub cubes, square antiprisms, octahedra (as triangular antiprisms), and three kinds of tetrahedra (as tetragonal disphenoids, phyllic disphenoids, and...
parabireplenished great icosahedron. Two Johnson solids are snub polyhedra: the snubdisphenoid and the snub square antiprism. Neither is chiral. Coxeter, Harold...
the regular octahedron, regular icosahedron, pentagonal bipyramid, snubdisphenoid, and gyroelongated square bipyramid. The dual polyhedron of the triaugmented...
is the term generally used, the correct term is "bisdisphenoid" or "snubdisphenoid" as this polyhedron is a deltahedron) [Mo(CN)8]4− in K4[Mo(CN)8]·2H2O...
three polyhedra with this property are the regular octahedron, the snubdisphenoid, and an irregular polyhedron with 12 vertices and 20 triangular faces...
trapezohedron A similar 12-sided polyhedron with a twist and kite faces. Snubdisphenoid Another 12-sided polyhedron with 2-fold symmetry and only triangular...
triangular antiprisms) from the hexagonal prisms, tetrahedra (as tetragonal disphenoids) from the cubes, and two tetrahedra from the triangular bipyramids. The...
replacing both squares of a square antiprism with a square pyramid. The snubdisphenoid (J84) is another deltahedron, constructed by replacing the two squares...
that is, the five Platonic solids and the four Kepler–Poinsot polyhedra. Disphenoid tetrahedra. Crown polyhedra, also known as stephanoid polyhedra. A variety...
with a phyllic disphenoid vertex figure. Centered on hexagonal prism The omnisnub icosahedral honeycomb, h(t0,1,2,3{3,5,3}), , has snub dodecahedron, octahedron...
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