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...

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

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...

In mathematics, a centered octahedral number or Haüy octahedral number is a figurate number that counts the points of a three-dimensional integer lattice...

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...

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

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

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

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...

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

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

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...

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

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...

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...

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

seven-vertex apex graph that forms the skeleton of a four-dimensional octahedral pyramid. If K1,2,2,2 could be shown not to have any planar covers, this would...

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

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

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

edge-centered (B3) orthogonal projection of the runcinated tesseract: Cubic pyramid Octahedral cupola Runcinated tesseract Convex Segmentochora Dr. Richard Klitzing...

tetrahedron (pl.: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges...

dissected into 6 square pyramids and 8 tetrahedra meeting at a central point. This dissection is expressed in the tetrahedral-octahedral honeycomb where pairs...

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

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...

dodecahedron can be seen as a limiting case of the pyritohedron, and it has octahedral symmetry. The elongated dodecahedron and trapezo-rhombic dodecahedron...

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

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