What is the name of this hexagon/pentagon polyhedron?

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What is the name of this convex polyhedron?


          PolySkeleton
          $(V,E,F)=(14,36,24)$.
The top and bottom vertices are degree-$6$, spanning hexagons, which are zigzag connected in the band between the two hexagons. The faces are approximate isosceles triangles in this physical model.

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I believe it is a gyroelongated hexagonal bipyramid.

https://en.wikipedia.org/wiki/Gyroelongated_bipyramid

The example shown in the Wikipedia article uses equilateral triangles, which results in coplanar faces around the degree-6 vertices, but as you mention, the model uses isosceles triangles.

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If I am right, the four extra faces make it a tetraicosahedron. But this is a generic term.

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From http://rcsr.anu.edu.au/polyhedra

I entered $14$ vertices and $24$ faces, and it seems to be a C14 Frank Kasper polyhedron (seems to be named from chemist researcher...)

The degrees of vertices $5$ and $6$ correspond.

http://rcsr.anu.edu.au/polyhedra/fkf

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As already was said, all faces could be made the same isoceles triangle.

But alternatively the equatorial segment could be made a uniform hexagonal antiprism too. Then the emphasis would be more towards that antiprism than to those attached pyramids. Therefore you also could speak of a "bi-apiculated hexagonal antiprism".

--- rk