An elongated pentagonal pyramid is formed by adjoining a pentagonal pyramid and a pentagonal prism along a common
pentagonal base.
The convex equilateral form with regular polygonal faces
is the Johnson solid 
.
It has 11 polyhedron vertices, 20 polyhedron edges, and 11 faces. The faces
consist of 5 equilateral triangles, 5 squares, and one regular pentagon
(McCooey).
See also
Elongated Pyramid,
Pentagonal
Prism,
Pentagonal Pyramid
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References
Johnson, N. W. "Convex Polyhedra with Regular Faces." Canad. J. Math. 18, 169-200, 1966. https://doi.org/10.4153/CJM-1966-021-8.McCooey,
D. I. "Elongated Pentagonal Pyramid." https://dmccooey.com/polyhedra/ElongatedPentagonalPyramid.html.Referenced
on Wolfram|Alpha
Elongated Pentagonal Pyramid
Cite this as:
Weisstein, Eric W. "Elongated Pentagonal Pyramid."
From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ElongatedPentagonalPyramid.html
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