In 4-dimensional geometry, the octahedral pyramid is bounded by one octahedron on the base and 8 triangular pyramid cells which meet at the apex. Since...

meet at the vertex the way 6 edges meet at the apex of a canonical octahedral pyramid. The 6 orthogonal central planes of the 16-cell can be divided into...

equilateral square pyramids. Its dual polyhedron is the cube, and they have the same three-dimensional symmetry groups, the octahedral symmetry O h {\displaystyle...

16 cubic pyramids. The 24-cell tessellates 4-dimensional space as the 24-cell honeycomb. The dual to the cubic pyramid is an octahedral pyramid, seen as...

for AX6E1 predicts a pentagonal pyramidal shape. Pairs of octahedra can be fused in a way that preserves the octahedral coordination geometry by replacing...

of octahedral cells: ↔ . A second half symmetry is [3,4,1+,4]: ↔ . A higher index sub-symmetry, [3,4,4*], which is index 8, exists with a pyramidal fundamental...

square pyramids, one upside-down underneath the other, by splitting it along a square cross-section. Therefore, the n {\displaystyle n} th octahedral number...

digonal antiprisms. It can be seen as a net of a four-dimensional octahedral pyramid, consisting of a central octahedron surrounded by eight tetrahedra...

prisms, and 6 square pyramids. The octahedral cupola can be sliced off from a runcinated 24-cell, on a hyperplane parallel to an octahedral cell. The cupola...

tetrahedral number. The sum of two consecutive square pyramidal numbers is an octahedral number. The pyramidal numbers were one of the few types of three-dimensional...

In chemistry, the capped octahedral molecular geometry describes the shape of compounds where seven atoms or groups of atoms or ligands are arranged around...

square pyramids and tetrahedra sitting on their edges. A second slice direction needs no new faces and includes alternating tetrahedral and octahedral. This...

irregular truncated octahedral pyramid. Because its base is a regular octahedron which is a 24-cell octahedral cell, this 4-pyramid lies on the surface...

rectangular pyramid vertex figure. It has a Coxeter diagram . Perspective view from center of rhombicuboctahedron The omnitruncated cubic-octahedral honeycomb...

A centered octahedral number or Haüy octahedral number is a figurate number that counts the points of a three-dimensional integer lattice that lie inside...

Archimedean solid that arises from a regular octahedron by removing six pyramids, one at each of the octahedron's vertices. The truncated octahedron has...

regular 5-cell.) Octahedral pyramid, ( ) ∨ {3,4}, an octahedron base, and 8 tetrahedra sides meeting at an apex. Icosahedral pyramid, ( ) ∨ {3,5}, an...

a dual to the vertex-transitive gyrated tetrahedral-octahedral honeycomb. The rhombic pyramidal honeycomb or half oblate octahedrille is a uniform space-filling...

A pyramidal number is the number of points in a pyramid with a polygonal base and triangular sides. The term often refers to square pyramidal numbers...

neighbors. For every sphere there is one gap surrounded by six spheres (octahedral) and two smaller gaps surrounded by four spheres (tetrahedral). The distances...

common type of complex is octahedral, in which six ligands form the vertices of an octahedron around the metal ion. In octahedral symmetry the d-orbitals...

isosceles-trapezoidal pyramid vertex figure. The runcicantellated square tiling honeycomb is the same as the runcitruncated order-4 octahedral honeycomb. The...

= pentagonal pyramidal number 30537 = Riordan number 30694 = open meandric number 30941 = first base 13 repunit prime 31116 = octahedral number 31185...

number (27×34) 10395 = double factorial of 11 10416 = square pyramidal number 10425 = octahedral number 10430 = weird number 10433 = palindromic prime in...

A tetrahedral number, or triangular pyramidal number, is a figurate number that represents a pyramid with a triangular base and three sides, called a tetrahedron...

Archimedean solid, the cuboctahedron; they share the same symmetry, the octahedral symmetry. It is face-transitive, meaning the symmetry group of the solid...

octaplex (short for "octahedral complex"), icosatetrahedroid, octacube, hyper-diamond or polyoctahedron, being constructed of octahedral cells. The boundary...

sulfur hexafluoride (SF6) is an octahedral molecule. Trigonal pyramidal: A trigonal pyramidal molecule has a pyramid-like shape with a triangular base...

TeCl2− 6, TeBr2− 6, BiCl3− 6, BiBr3− 6 and BiI3− 6, are octahedral, rather than pentagonal pyramids, and the lone pair does not affect the geometry to the...

Conway +1/24[O×O].23). It is called the octahedral pyramidal group and is 3D octahedral symmetry, [4,3]. A cubic pyramid can have this symmetry, with Schläfli...