A gyroelongated pentagonal rotunda is formed by adjoining a pentagonal rotunda and a decagonal antiprism
along their matching decagonal bases.
The convex equilateral form with regular polygonal faces
is the Johnson solid
.
It has 30 polyhedron vertices, 65 polyhedron edges, and 37 faces. The faces
consist of 30 equilateral triangles, 6 regular
pentagons, and one regular decagon
(McCooey).
See also
Antiprism,
Pentagonal
Rotunda,
Rotunda
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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. "Gyroelongated Pentagonal Rotunda." https://dmccooey.com/polyhedra/GyroelongatedPentagonalRotunda.html.Referenced
on Wolfram|Alpha
Gyroelongated Pentagonal
Rotunda
Cite this as:
Weisstein, Eric W. "Gyroelongated Pentagonal
Rotunda." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/GyroelongatedPentagonalRotunda.html
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