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  2. Octahedral prism - Wikipedia

    en.wikipedia.org/wiki/Octahedral_prism

    The two octahedral cells project onto the entire volume of this envelope, while the 8 triangular prismic cells project onto its 8 triangular faces. The triangular-prism-first orthographic projection of the octahedral prism into 3D space has a hexagonal prismic envelope. The two octahedral cells project onto the two hexagonal faces.

  3. Melik Ajdar Mausoleum - Wikipedia

    en.wikipedia.org/wiki/Melik_Ajdar_Mausoleum

    Melik Ajdar Mausoleum or Jijimli Mausoleum is a mausoleum located in the high mountainous terrain of the Jijimli village of the Lachin District of Azerbaijan. [1] [2] Some sources date the construction of the mausoleum to the fourteenth century, [3] whereas others suggest an earlier period, namely the eleventh to twelfth centuries.

  4. Point groups in four dimensions - Wikipedia

    en.wikipedia.org/wiki/Point_groups_in_four...

    A high-index reflective subgroup is the prismatic octahedral symmetry, [4,3,2] (), order 96, subgroup index 4, (Du Val #44 (O/C 2;O/C 2) *, Conway ± 1 / 24 [O×O].2). The truncated cubic prism has this symmetry with Coxeter diagram and the cubic prism is a lower symmetry construction of the tesseract, as .

  5. Uniform 4-polytope - Wikipedia

    en.wikipedia.org/wiki/Uniform_4-polytope

    A prismatic polytope is a Cartesian product of two polytopes of lower dimension; familiar examples are the 3-dimensional prisms, which are products of a polygon and a line segment. The prismatic uniform 4-polytopes consist of two infinite families: Polyhedral prisms: products of a line segment and a uniform polyhedron.

  6. Uniform polyhedron - Wikipedia

    en.wikipedia.org/wiki/Uniform_polyhedron

    Coxeter, Longuet-Higgins & Miller (1954) define uniform polyhedra to be vertex-transitive polyhedra with regular faces. They define a polyhedron to be a finite set of polygons such that each side of a polygon is a side of just one other polygon, such that no non-empty proper subset of the polygons has the same property.

  7. Point groups in three dimensions - Wikipedia

    en.wikipedia.org/wiki/Point_groups_in_three...

    They are sometimes called the axial or prismatic point groups. § The seven remaining point groups, which have multiple 3-or-more-fold rotation axes; these groups can also be characterized as point groups having multiple 3-fold rotation axes. The possible combinations are: Four 3-fold axes (the three tetrahedral symmetries T, T h, and T d)

  8. Voronoi diagram - Wikipedia

    en.wikipedia.org/wiki/Voronoi_diagram

    Let be a metric space with distance function .Let be a set of indices and let () be a tuple (indexed collection) of nonempty subsets (the sites) in the space .The Voronoi cell, or Voronoi region, , associated with the site is the set of all points in whose distance to is not greater than their distance to the other sites , where is any index different from .

  9. Coordination geometry - Wikipedia

    en.wikipedia.org/wiki/Coordination_geometry

    bicapped trigonal prismatic [ZrF 8] 4− [7] PuBr 3 [3] 8 cubic: Caesium chloride, calcium fluoride: 8 hexagonal bipyramidal: N in Li 3 N [3] 8 octahedral, trans-bicapped Ni in nickel arsenide, NiAs; 6 As neighbours + 2 Ni capping [8] 8 trigonal prismatic, triangular face bicapped Ca in CaFe 2 O 4 [3] 9 tricapped trigonal prismatic