Neha Patil (Editor)

Elongated hexagonal bipyramid

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Type
  
Elongated dipyramid

Edges
  
30

Vertex configuration
  
2 of 312 of 3.4

Faces
  
12 triangles6 squares

Vertices
  
14

Symmetry group
  
D6h, [6,2], (*226)

Elongated hexagonal bipyramid

In geometry, the elongated hexagonal bipyramid is constructed by elongating a hexagonal bipyramid (by inserting a hexagonal prism between its congruent halves).

Contents

This polyhedron is in the family of elongated bipyramids, of which the first three can be Johnson solids: J14, J15 and J16. The hexagonal form can be constructed by all regular faces, but isn't a Johnson solid because 6 equilateral triangles would form six co-planar faces (in a regular hexagon).

Uses

  • A quartz crystal is an example of an elongated hexagonal bipyramid. Because it has 18 faces, it can be called an octadecahedron.
  • The edge-first orthogonal projection of a 24-cell is an elongated hexagonal bipyramid.
  • Used as the outer structure of gelatin-based juice-delivery systems.
  • Used a physical manifestation for assisting various branches of three-dimensional graph theory

    • References

    Elongated hexagonal bipyramid Wikipedia
    (Text) CC BY-SA


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