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Octahedral cupola
Schlegel diagram
Type
Polyhedral cupola
Schläfli symbol
{3,4} v rr{3,4}
Cells
28
1 {3,4} 1 rr{4,3} 8+12 {}×{3} 6 {}v{4}
Faces
82
40 triangles 42 squares
Edges
84
Vertices
30
Dual
Symmetry group
[4,3,1], order 48
Properties
convex, regular-faced
In 4-dimensional geometry, the octahedral cupola is a 4-polytope bounded by one octahedron and a parallel rhombicuboctahedron, connected by 20 triangular prisms, and 6 square pyramids.[1]
^Convex Segmentochora Dr. Richard Klitzing, Symmetry: Culture and Science, Vol. 11, Nos. 1-4, 139-181, 2000 (4.107 octahedron || rhombicuboctahedron)
In 4-dimensional geometry, the octahedralcupola is a 4-polytope bounded by one octahedron and a parallel rhombicuboctahedron, connected by 20 triangular...
orthogonal projection of the runcinated tesseract: Cubic pyramid Octahedralcupola Runcinated tesseract Convex Segmentochora Dr. Richard Klitzing, Symmetry:...
to an octahedralcupola from a small vestibule. Stairs leading to the hall of the second store have been carved on the cliff. A spherical cupola with a...
a sixteen-sided structure built by the Decatur Bridge Company. An octahedralcupola rests atop the main roof. The roof is mainly supported by triangular...
solids the truncated octahedron has full octahedral symmetry - but its relationship with the full octahedral group is closer than that: Its 48 vertices...
to construct the rhombicuboctahedron is by attaching two regular square cupolas into the bases of a regular octagonal prism. A rhombicuboctahedron may...
dodecahedron can be seen as a limiting case of the pyritohedron, and it has octahedral symmetry. The elongated dodecahedron and trapezo-rhombic dodecahedron...
ways: Its construction can be started by attaching two regular triangular cupolas base-to-base. This is similar to one of the Johnson solids, triangular...
four orientations. The cube is dual to the octahedron. It has cubical or octahedral symmetry, and is the only convex polyhedron whose faces are all squares...
the crossed square cupola is one of the nonconvex Johnson solid isomorphs, being topologically identical to the convex square cupola. It can be obtained...
There are 44 such Schwarz triangles (5 with tetrahedral symmetry, 7 with octahedral symmetry and 32 with icosahedral symmetry), which, together with the infinite...
Six is a triangular number and so is its square (36). It is the first octahedral number, preceding 19. A six-sided polygon is a hexagon, one of the three...
name, it was designed by the architect Fredrik Blom as a neoclassical octahedral temple inspired by the Pantheon in Rome, borrowing the coffered ceiling...
"scales", and there were four dormer windows on the sides. The cupola culminated in an octahedral level, decorated with bas-reliefs in the form of vases. A...
around each edge. It is in a sequence of polychora and honeycombs with octahedral vertex figures. It in a sequence of regular polytopes and honeycombs with...
Ru(−4), and Os(−4) have been observed in metal-rich compounds containing octahedral complexes [MIn6−xSnx]; Pt(−3) (as a dimeric anion [Pt–Pt]6−), Cu(−2),...
The mausoleum is octahedral and the widths of the edges are 3 meters. The mausoleum is covered with an octahedral spherical cupola made of thin stone...
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