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  2. Trigonal trapezohedron - Wikipedia

    en.wikipedia.org/wiki/Trigonal_trapezohedron

    In geometry, a trigonal trapezohedron is a polyhedron with six congruent quadrilateral faces, which may be scalene or rhomboid. [1] [2] The variety with rhombus-shaped faces faces is a rhombohedron. [3] [4] An alternative name for the same shape is the trigonal deltohedron. [5]

  3. Hexagonal crystal family - Wikipedia

    en.wikipedia.org/wiki/Hexagonal_crystal_family

    However, the rhombohedral axes are often shown (for the rhombohedral lattice) in textbooks because this cell reveals the 3 m symmetry of the crystal lattice. The rhombohedral unit cell for the hexagonal Bravais lattice is the D-centered [ 1 ] cell, consisting of two additional lattice points which occupy one body diagonal of the unit cell with ...

  4. Rhombohedron - Wikipedia

    en.wikipedia.org/wiki/Rhombohedron

    It can be used to define the rhombohedral lattice system, a honeycomb with rhombohedral cells. A rhombohedron has two opposite apices at which all face angles are equal; a prolate rhombohedron has this common angle acute, and an oblate rhombohedron has an obtuse angle at these vertices.

  5. Crystal system - Wikipedia

    en.wikipedia.org/wiki/Crystal_system

    The diamond crystal structure belongs to the face-centered cubic lattice, with a repeated two-atom pattern.. In crystallography, a crystal system is a set of point groups (a group of geometric symmetries with at least one fixed point).

  6. Rhombic dodecahedron - Wikipedia

    en.wikipedia.org/wiki/Rhombic_dodecahedron

    A rhombic dodecahedron can be dissected into four obtuse trigonal trapezohedra around its center. These rhombohedra are the cells of a trigonal trapezohedral honeycomb. Analogously, a regular hexagon can be dissected into 3 rhombi around its center. These rhombi are the tiles of a rhombille. [citation needed]

  7. Trigonal trapezohedral honeycomb - Wikipedia

    en.wikipedia.org/wiki/Trigonal_trapezohedral...

    In geometry, the trigonal trapezohedral honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 3-space. Cells are identical trigonal trapezohedra or rhombohedra . Conway, Burgiel, and Goodman-Strauss call it an oblate cubille .

  8. Dolomite (mineral) - Wikipedia

    en.wikipedia.org/wiki/Dolomite_(mineral)

    The mineral dolomite crystallizes in the trigonal-rhombohedral system. It forms white, tan, gray, or pink crystals. It forms white, tan, gray, or pink crystals. Dolomite is a double carbonate, having an alternating structural arrangement of calcium and magnesium ions.

  9. Truncated triangular trapezohedron - Wikipedia

    en.wikipedia.org/wiki/Truncated_triangular...

    The shape of the solid depicted by Dürer is a subject of some academic debate. [1] According to Lynch (1982), the hypothesis that the shape is a misdrawn truncated cube was promoted by Strauss (1972); however most sources agree that it is the truncation of a rhombohedron. Despite this agreement, the exact geometry of this rhombohedron is the ...