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2. Hexagonal crystal family - Wikipedia

   en.wikipedia.org/wiki/Hexagonal_crystal_family

   The trigonal crystal system consists of the 5 point groups that have a single three-fold rotation axis, which includes space groups 143 to 167. These 5 point groups have 7 corresponding space groups (denoted by R) assigned to the rhombohedral lattice system and 18 corresponding space groups (denoted by P) assigned to the hexagonal lattice system.

3. 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]

4. 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).

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6. 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.

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